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Google Keyword Rankings for : fast approximation to spherical harmonics rotation
1
Fast approximation to spherical harmonic rotation
https://dl.acm.org/doi/abs/10.1145/2602161.2602167
We present an efficient approximation of the spherical harmonic rotation applicable for small rotation angles. We replace the general spherical harmonic ...
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https://dl.acm.org/doi/abs/10.1145/2602161.2602167
We present an efficient approximation of the spherical harmonic rotation applicable for small rotation angles. We replace the general spherical harmonic ...
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2
Fast Approximation to Spherical Harmonic Rotation - DCGI
https://dcgi.fel.cvut.cz/?media=publications%2F2006%2Fkrivanek-sccg-fashr%2Fpaper.pdf&alias=Krivanek2006&action=fetch&presenter=Media
Rotation of functions represented by spherical harmonics is an im- portant part of many real-time lighting and global illumination al- gorithms.
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https://dcgi.fel.cvut.cz/?media=publications%2F2006%2Fkrivanek-sccg-fashr%2Fpaper.pdf&alias=Krivanek2006&action=fetch&presenter=Media
Rotation of functions represented by spherical harmonics is an im- portant part of many real-time lighting and global illumination al- gorithms.
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3
Fast approximation to spherical harmonics rotation
https://www.researchgate.net/publication/215506119_Fast_approximation_to_spherical_harmonics_rotation
We present a fast and simple approximation of spherical harmonic rotation which decreases the asymptotic complexity and achieves a speedup ...
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https://www.researchgate.net/publication/215506119_Fast_approximation_to_spherical_harmonics_rotation
We present a fast and simple approximation of spherical harmonic rotation which decreases the asymptotic complexity and achieves a speedup ...
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4
[PDF] Fast approximation to spherical harmonics rotation | Semantic ...
https://www.semanticscholar.org/paper/Fast-approximation-to-spherical-harmonics-rotation-Kriv%C3%A1nek-Konttinen/40758c5f483e0fd49ad791989a6e8587e1a6116b
A fast and simple approximation of spherical harmonic rotation which decreases the asymptotic complexity and achieves a speedup of four to six in practical ...
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https://www.semanticscholar.org/paper/Fast-approximation-to-spherical-harmonics-rotation-Kriv%C3%A1nek-Konttinen/40758c5f483e0fd49ad791989a6e8587e1a6116b
A fast and simple approximation of spherical harmonic rotation which decreases the asymptotic complexity and achieves a speedup of four to six in practical ...
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5
(PDF) Fast approximation to spherical harmonic rotation | Kadi ...
https://www.academia.edu/15221151/Fast_approximation_to_spherical_harmonic_rotation
Fast Approximation to Spherical Harmonic Rotation Jaroslav Kˇriv´anek∗ Jaakko Konttinen† Sumanta Pattanaik‡ Kadi Bouatouch§ ˇ ara¶ Jiˇr´ı Z´ Czech ...
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https://www.academia.edu/15221151/Fast_approximation_to_spherical_harmonic_rotation
Fast Approximation to Spherical Harmonic Rotation Jaroslav Kˇriv´anek∗ Jaakko Konttinen† Sumanta Pattanaik‡ Kadi Bouatouch§ ˇ ara¶ Jiˇr´ı Z´ Czech ...
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6
Fast Approximation to Spherical Harmonics Rotation
https://slideplayer.com/slide/8533536/
Presentation Topic Goal Rotate a spherical function represented by Spherical Harmonics Proposed method Approximation through a truncated Taylor expansion ...
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https://slideplayer.com/slide/8533536/
Presentation Topic Goal Rotate a spherical function represented by Spherical Harmonics Proposed method Approximation through a truncated Taylor expansion ...
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7
"Fast Approximation To Spherical Harmonics Rotation" by Jaroslav ...
https://stars.library.ucf.edu/scopus2000/7584/
We present a fast and simple approximation of spherical harmonic rotation which decreases the asymptotic complexity and achieves a speedup of four to six in ...
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https://stars.library.ucf.edu/scopus2000/7584/
We present a fast and simple approximation of spherical harmonic rotation which decreases the asymptotic complexity and achieves a speedup of four to six in ...
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8
Fast Approximation to Spherical Harmonic Rotation - Jaroslav ...
https://books.google.com/books/about/Fast_Approximation_to_Spherical_Harmonic.html?id=BMXGOwAACAAJ
Fast Approximation to Spherical Harmonic Rotation. Front Cover. Jaroslav Krivánek, Kadi Bouatouch, Sumanta Pattanaik, Jaakko Konttinen.
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https://books.google.com/books/about/Fast_Approximation_to_Spherical_Harmonic.html?id=BMXGOwAACAAJ
Fast Approximation to Spherical Harmonic Rotation. Front Cover. Jaroslav Krivánek, Kadi Bouatouch, Sumanta Pattanaik, Jaakko Konttinen.
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9
Diffusion MRI Registration Using Orientation Distribution ...
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3860746/
2.1 Diffusion ODFs Represented as Spherical Harmonics ... A fast spherical harmonic rotation approximation using a truncated Taylor expansion of RZ [14] can ...
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https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3860746/
2.1 Diffusion ODFs Represented as Spherical Harmonics ... A fast spherical harmonic rotation approximation using a truncated Taylor expansion of RZ [14] can ...
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10
Spherical Harmonics
https://cs.dartmouth.edu/wjarosz/publications/dissertation/appendixB.pdf
[2005c] instead proposed a fast approximate SH rotation method for small angles, which uses a truncated Taylor expansion of the rotation matrix. Green [2003].
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https://cs.dartmouth.edu/wjarosz/publications/dissertation/appendixB.pdf
[2005c] instead proposed a fast approximate SH rotation method for small angles, which uses a truncated Taylor expansion of the rotation matrix. Green [2003].
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11
Sparse Zonal Harmonic Factorization for Efficient SH Rotation
https://www.cim.mcgill.ca/~derek/files/SHRot_mine.pdf
cluding those expressed in a spherical harmonic (SH) expansion, that is amenable to fast and accurate rotation on the GPU. Exploiting the fact that.
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https://www.cim.mcgill.ca/~derek/files/SHRot_mine.pdf
cluding those expressed in a spherical harmonic (SH) expansion, that is amenable to fast and accurate rotation on the GPU. Exploiting the fact that.
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12
(PPT) Fast Approximation to Spherical Harmonics Rotation Sumanta ...
https://pdfslide.net/documents/fast-approximation-to-spherical-harmonics-rotation-sumanta-pattanaik-university.html
Fast Approximation to Spherical Harmonics Rotation Sumanta Pattanaik University of Central Florida Kadi Bouatouch IRISA / INRIA Rennes Jaroslav Křivánek ...
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https://pdfslide.net/documents/fast-approximation-to-spherical-harmonics-rotation-sumanta-pattanaik-university.html
Fast Approximation to Spherical Harmonics Rotation Sumanta Pattanaik University of Central Florida Kadi Bouatouch IRISA / INRIA Rennes Jaroslav Křivánek ...
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13
Fast and Accurate Spherical Harmonics Products
https://sites.cs.ucsb.edu/~lingqi/publications/paper_shmultprod.pdf
step, so it has to further approximate scene geometry with set of spheres and precompute log steps towards sphere primitives only. It is highly coupled with its ...
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https://sites.cs.ucsb.edu/~lingqi/publications/paper_shmultprod.pdf
step, so it has to further approximate scene geometry with set of spheres and precompute log steps towards sphere primitives only. It is highly coupled with its ...
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14
Libpsht – algorithms for efficient spherical harmonic transforms
https://www.aanda.org/articles/aa/pdf/2011/02/aa15906-10.pdf
Depending on the choice of lmax, w, and the grid geometry, the p → salm transform may only be approximate, which is indicated by choosing the identifier ˆa ...
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https://www.aanda.org/articles/aa/pdf/2011/02/aa15906-10.pdf
Depending on the choice of lmax, w, and the grid geometry, the p → salm transform may only be approximate, which is indicated by choosing the identifier ˆa ...
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15
Spherical harmonics - Chebfun
https://www.chebfun.org/examples/sphere/SphericalHarmonics.html
The cost of computing all the spherical harmonic coefficients up to degree N of a function directly using an approximation of (2) scales like O(N4). If f is of ...
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https://www.chebfun.org/examples/sphere/SphericalHarmonics.html
The cost of computing all the spherical harmonic coefficients up to degree N of a function directly using an approximation of (2) scales like O(N4). If f is of ...
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16
Function Approximation & Spherical Harmonics
https://cgg.mff.cuni.cz/~pepca/lectures/pdf/pg3-02-sh.pdf
Spherical Harmonics. Page 2. Function approximation. • G(x) ... function to approximate ... SH rotation matrix. • Fast rotation procedures exist ...
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https://cgg.mff.cuni.cz/~pepca/lectures/pdf/pg3-02-sh.pdf
Spherical Harmonics. Page 2. Function approximation. • G(x) ... function to approximate ... SH rotation matrix. • Fast rotation procedures exist ...
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17
Stupid Spherical Harmonics (SH) Tricks - Amazon AWS
https://ubm-twvideo01.s3.amazonaws.com/o1/vault/gdc08/slides/S6469i1.pdf
later, these functions have rotational symmetry around the z axis and the zeros (locations where the function is zero) are contours on the sphere parallel ...
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https://ubm-twvideo01.s3.amazonaws.com/o1/vault/gdc08/slides/S6469i1.pdf
later, these functions have rotational symmetry around the z axis and the zeros (locations where the function is zero) are contours on the sphere parallel ...
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18
Fast computation, rotation, and comparison of low resolution ...
https://onlinelibrary.wiley.com/doi/pdf/10.1002/%28SICI%291096-987X%28199903%2920%3A4%3C383%3A%3AAID-JCC1%3E3.0.CO%3B2-M
ABSTRACT: A procedure that rapidly generates an approximate parametric ... spherical harmonic expansion coefficients are determined using fast surface.
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https://onlinelibrary.wiley.com/doi/pdf/10.1002/%28SICI%291096-987X%28199903%2920%3A4%3C383%3A%3AAID-JCC1%3E3.0.CO%3B2-M
ABSTRACT: A procedure that rapidly generates an approximate parametric ... spherical harmonic expansion coefficients are determined using fast surface.
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19
Fast Algorithms for Spherical Harmonic Expansions
https://epubs.siam.org/doi/10.1137/050623073
by V Rokhlin · 2006 · Cited by 136 —
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https://epubs.siam.org/doi/10.1137/050623073
by V Rokhlin · 2006 · Cited by 136 —
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20
FaVeST — Fast Vector Spherical Harmonic Transforms - arXiv
https://arxiv.org/pdf/1908.00041
We also estimate the approximation error for forward and adjoint FaVeSTs. Section 4.4 describes the software package in Matlab developed for ...
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https://arxiv.org/pdf/1908.00041
We also estimate the approximation error for forward and adjoint FaVeSTs. Section 4.4 describes the software package in Matlab developed for ...
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21
Spherical Harmonics Scaling
https://cg.cs.tsinghua.edu.cn/papers/SHScaling.pdf
to efficient approximation of spherical irradiance func- ... In [5], spherical harmonic rotations are described for run-time rotation of environment maps ...
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https://cg.cs.tsinghua.edu.cn/papers/SHScaling.pdf
to efficient approximation of spherical irradiance func- ... In [5], spherical harmonic rotations are described for run-time rotation of environment maps ...
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22
Spherical harmonics based aggregation in the multilevel fast ...
https://essay.utwente.nl/67165/1/Hack_MA_EWI.pdf
7 Spherical harmonics expansion of the far field radiation patterns of the ... Estimates for the CPU cost if the rotations are not used.
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https://essay.utwente.nl/67165/1/Hack_MA_EWI.pdf
7 Spherical harmonics expansion of the far field radiation patterns of the ... Estimates for the CPU cost if the rotations are not used.
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23
Fast Simulation of Lipid Vesicle Deformation Using Spherical ...
https://www.global-sci.com/intro/article_detail/auth/11231.html
fast algorithm based on spherical harmonic approximations to be applied to minimize a ... The full surfaces are generated by rotation about the y-axis.
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https://www.global-sci.com/intro/article_detail/auth/11231.html
fast algorithm based on spherical harmonic approximations to be applied to minimize a ... The full surfaces are generated by rotation about the y-axis.
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24
spherical-harmonics/README.md at master - GitHub
https://github.com/google/spherical-harmonics/blob/master/README.md
Used to estimate coefficients applied to basis functions to approximate complex spherical functions as a weighted sum of the spherical harmonic basis functions.
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https://github.com/google/spherical-harmonics/blob/master/README.md
Used to estimate coefficients applied to basis functions to approximate complex spherical functions as a weighted sum of the spherical harmonic basis functions.
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25
Spherical-Harmonic Decomposition for Molecular Recognition ...
https://ftp.cs.wisc.edu/machine-learning/shavlik-group/dimaio.ijdmb09.pdf
A fast approximate-inference algorithm finds the most likely location of each Cα, ... spherical-harmonic decomposition and the fast rotation.
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https://ftp.cs.wisc.edu/machine-learning/shavlik-group/dimaio.ijdmb09.pdf
A fast approximate-inference algorithm finds the most likely location of each Cα, ... spherical-harmonic decomposition and the fast rotation.
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26
Spherical harmonics - Wikipedia
https://en.wikipedia.org/wiki/Spherical_harmonics
In mathematics and physical science, spherical harmonics are special functions defined on the surface of a sphere. They are often employed in solving ...
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https://en.wikipedia.org/wiki/Spherical_harmonics
In mathematics and physical science, spherical harmonics are special functions defined on the surface of a sphere. They are often employed in solving ...
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27
A Fast Transform for Spherical Harmonics
http://www.ohiouniversityfaculty.com/mohlenka/research/MOHLEN1999P.pdf
Spherical Harmonics, Fast Transforms, Associated Legendre Functions. ... Series, e.g. both diagonalize all linear operators which commute with rotations.
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http://www.ohiouniversityfaculty.com/mohlenka/research/MOHLEN1999P.pdf
Spherical Harmonics, Fast Transforms, Associated Legendre Functions. ... Series, e.g. both diagonalize all linear operators which commute with rotations.
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28
Fast, exact (but unstable) spin spherical harmonic transforms
http://www.jasonmcewen.org/papers/fsht.pdf
ods are necessarily approximate, for any choice of pixelisa- tion of the sphere, ... of scalar functions on the two-sphere S2 and on the rotation.
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http://www.jasonmcewen.org/papers/fsht.pdf
ods are necessarily approximate, for any choice of pixelisa- tion of the sphere, ... of scalar functions on the two-sphere S2 and on the rotation.
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29
Simple and Fast Spherical Harmonic Rotation - Filmic Worlds
http://filmicworlds.com/blog/simple-and-fast-spherical-harmonic-rotation/
Simple and Fast Spherical Harmonic Rotation · A light direction vector can be projected into spherical harmonics with a simple, closed form ...
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http://filmicworlds.com/blog/simple-and-fast-spherical-harmonic-rotation/
Simple and Fast Spherical Harmonic Rotation · A light direction vector can be projected into spherical harmonics with a simple, closed form ...
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30
Rotation matrices for real spherical harmonics - IOPscience
https://iopscience.iop.org/article/10.1088/1751-8113/40/7/011
[5] Křivánek J, Konttinen J, Pattanaik S and Bouatouch K 2005 Fast approximation to spherical harmonic rotation Technical Report 1728 ...
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https://iopscience.iop.org/article/10.1088/1751-8113/40/7/011
[5] Křivánek J, Konttinen J, Pattanaik S and Bouatouch K 2005 Fast approximation to spherical harmonic rotation Technical Report 1728 ...
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31
PPT – Fast Approximation to Spherical Harmonics Rotation ...
https://www.powershow.com/view/12b9f1-N2ZhN/Fast_Approximation_to_Spherical_Harmonics_Rotation_powerpoint_ppt_presentation?varnishcache=1
Global illumination (radiance interpolation) Real-time shading (normal mapping) ... Interpolation on Curved Surfaces. Jaroslav Kriv nek Fast Spherical ... – ...
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https://www.powershow.com/view/12b9f1-N2ZhN/Fast_Approximation_to_Spherical_Harmonics_Rotation_powerpoint_ppt_presentation?varnishcache=1
Global illumination (radiance interpolation) Real-time shading (normal mapping) ... Interpolation on Curved Surfaces. Jaroslav Kriv nek Fast Spherical ... – ...
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32
Efficient and Accurate Rotation of Finite Spherical Harmonics ...
https://www.dgp.toronto.edu/public_user/lessig/shrk/data/shrk_tr.pdf
For higher bands, the fast Fourier transform makes equi-latitude points almost as ef- ficient as nested sampling points, and we expect even ...
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https://www.dgp.toronto.edu/public_user/lessig/shrk/data/shrk_tr.pdf
For higher bands, the fast Fourier transform makes equi-latitude points almost as ef- ficient as nested sampling points, and we expect even ...
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33
Computing Fourier Transforms and Convolutions on the 2 ...
https://www.sciencedirect.com/science/article/pii/S0196885884710086/pdf?md5=c545e02b17eb365c28536ef9c5359bfb&pid=1-s2.0-S0196885884710086-main.pdf
of the spherical harmonic coefficients [16]. A much more promising development is the recent work of Alpert and Rokhlin [1], which offers fast approximate ...
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https://www.sciencedirect.com/science/article/pii/S0196885884710086/pdf?md5=c545e02b17eb365c28536ef9c5359bfb&pid=1-s2.0-S0196885884710086-main.pdf
of the spherical harmonic coefficients [16]. A much more promising development is the recent work of Alpert and Rokhlin [1], which offers fast approximate ...
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34
1 Introduction 2 Theory of spherical harmonics - Ambisonics10
http://ambisonics10.ircam.fr/drupal/files/proceedings/presentations/O13_46.pdf
sphere that have reflective and rotational resonant oscillations. ... approximation of the true impulse response such as bells and plucked strings.
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http://ambisonics10.ircam.fr/drupal/files/proceedings/presentations/O13_46.pdf
sphere that have reflective and rotational resonant oscillations. ... approximation of the true impulse response such as bells and plucked strings.
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35
Spherical Harmonics, Splines, and Wavelets | SpringerLink
https://link.springer.com/10.1007/978-3-662-46900-2_101-1
This contribution substantially represents a geodetically relevant collection of particularly valuable material in the diverse approximation ...
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https://link.springer.com/10.1007/978-3-662-46900-2_101-1
This contribution substantially represents a geodetically relevant collection of particularly valuable material in the diverse approximation ...
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36
SPHERICAL HARMONIC ANALYSIS, DIVERGENCE
https://scholarworks.boisestate.edu/cgi/viewcontent.cgi?article=2900&context=td
This method can be used to approximate vector fields and their scalar potentials on the sphere ... 2 A FAST AND ACCURATE ALGORITHM FOR SPHERICAL HARMONIC.
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https://scholarworks.boisestate.edu/cgi/viewcontent.cgi?article=2900&context=td
This method can be used to approximate vector fields and their scalar potentials on the sphere ... 2 A FAST AND ACCURATE ALGORITHM FOR SPHERICAL HARMONIC.
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37
A Fast Algorithm for Spherical Grid Rotations and its ...
http://www.math.lsa.umich.edu/~shravan/papers/rotgrid.pdf
where p is the approximation degree of the spherical harmonic expansion and tj's are the nodes of the (p + 1)-point Gauss-Legendre ...
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http://www.math.lsa.umich.edu/~shravan/papers/rotgrid.pdf
where p is the approximation degree of the spherical harmonic expansion and tj's are the nodes of the (p + 1)-point Gauss-Legendre ...
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38
Fast and stable computations with spherical harmonics
https://collaboration.cmc.ec.gc.ca/science/pdes-2019/pdfs/Richard-Slevinsky.pdf
Then any function f ∈ L2(S2, dΩ) may be expanded in spherical harmonics: f (θ, ϕ) = ... To make an algorithm fast, we usually need to make approximations.
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https://collaboration.cmc.ec.gc.ca/science/pdes-2019/pdfs/Richard-Slevinsky.pdf
Then any function f ∈ L2(S2, dΩ) may be expanded in spherical harmonics: f (θ, ϕ) = ... To make an algorithm fast, we usually need to make approximations.
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39
Real/Complex Spherical Harmonic Transform, Gaunt ...
https://www.mathworks.com/matlabcentral/fileexchange/43856-real-complex-spherical-harmonic-transform-gaunt-coefficients-and-rotations
Archontis Politis (2022). Real/Complex Spherical Harmonic Transform, Gaunt Coefficients and Rotations (https://github.com/polarch/Spherical-Harmonic-Transform), ...
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https://www.mathworks.com/matlabcentral/fileexchange/43856-real-complex-spherical-harmonic-transform-gaunt-coefficients-and-rotations
Archontis Politis (2022). Real/Complex Spherical Harmonic Transform, Gaunt Coefficients and Rotations (https://github.com/polarch/Spherical-Harmonic-Transform), ...
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40
On the efficient calculation of ordinary and generalized ...
https://academic.oup.com/gji/article/135/1/307/570226
Algorithms for the stable computation of generalized and ordinary spherical harmonics are presented. The algorithms are fast and have the useful property ...
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https://academic.oup.com/gji/article/135/1/307/570226
Algorithms for the stable computation of generalized and ordinary spherical harmonics are presented. The algorithms are fast and have the useful property ...
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41
Importance Sampling Spherical Harmonics - UC San Diego
http://graphics.ucsd.edu/~henrik/papers/importance_sampling_spherical_harmonics.pdf
efficiently rotated, this product can be computed on-the-fly even if the BRDF is stored in ... they approximate using order 3 spherical harmonics. Our.
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http://graphics.ucsd.edu/~henrik/papers/importance_sampling_spherical_harmonics.pdf
efficiently rotated, this product can be computed on-the-fly even if the BRDF is stored in ... they approximate using order 3 spherical harmonics. Our.
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42
Method and apparatus for converting spherical harmonics ...
https://patents.google.com/patent/US9703756B2/en
There may be various techniques to approximate these functions over a sphere. ... Thus, embodiments enable quick and efficient rotation since spherical ...
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https://patents.google.com/patent/US9703756B2/en
There may be various techniques to approximate these functions over a sphere. ... Thus, embodiments enable quick and efficient rotation since spherical ...
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43
PPT - Fast Approximation to Spherical Harmonics Rotation ...
https://www.slideserve.com/jnesbit/fast-approximation-to-spherical-harmonics-rotation-powerpoint-ppt-presentation
Computer. Graphics. Group. Fast Approximation to Spherical Harmonics Rotation. Jaroslav Křivánek Czech Technical University. Ja akko Konttinen University of ...
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https://www.slideserve.com/jnesbit/fast-approximation-to-spherical-harmonics-rotation-powerpoint-ppt-presentation
Computer. Graphics. Group. Fast Approximation to Spherical Harmonics Rotation. Jaroslav Křivánek Czech Technical University. Ja akko Konttinen University of ...
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44
An Efficient Algorithm for Computing the Time Resolved Full ...
https://dcc.ligo.org/public/0112/P060052/001/correlator.pdf
Of course, in an Earth-fixed co-ordinate system, due to the rotation of the ... The first approach requires access to a fast spherical harmonic transform ...
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https://dcc.ligo.org/public/0112/P060052/001/correlator.pdf
Of course, in an Earth-fixed co-ordinate system, due to the rotation of the ... The first approach requires access to a fast spherical harmonic transform ...
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45
Spherical Harmonics - PataBlog - Patapom.com
https://patapom.com/blog/SHPortal/
According to wikipedia, SH are special functions defined on the surface of a sphere. In computer graphics, we're using them as a tool to quickly and easily ...
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https://patapom.com/blog/SHPortal/
According to wikipedia, SH are special functions defined on the surface of a sphere. In computer graphics, we're using them as a tool to quickly and easily ...
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46
robingreen - Bases and Frames - WordPress.com
https://basesandframes.wordpress.com/author/robingreen109/
The goal was to update the GDC 2002 talk on “Faster Math Functions” as the ... any set of equally spaced directions and use these to approximate the sphere.
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https://basesandframes.wordpress.com/author/robingreen109/
The goal was to update the GDC 2002 talk on “Faster Math Functions” as the ... any set of equally spaced directions and use these to approximate the sphere.
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47
spherical harmonics method: Topics by Science.gov
https://www.science.gov/topicpages/s/spherical+harmonics+method.html
Thus, rotation of spherical harmonics about e.g. a polar or an equatorial axis ... Dipole sources are only a first approximation to the real sources which ...
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https://www.science.gov/topicpages/s/spherical+harmonics+method.html
Thus, rotation of spherical harmonics about e.g. a polar or an equatorial axis ... Dipole sources are only a first approximation to the real sources which ...
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48
Jaroslav Krivánek - dblp
https://dblp.org/pid/k/JaroslavKrivanek.html?view=joint¶m=51
Jaroslav Krivánek , Jaakko Konttinen, Sumanta N. Pattanaik, Kadi Bouatouch, Jirí Zára : Fast approximation to spherical harmonic rotation.
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https://dblp.org/pid/k/JaroslavKrivanek.html?view=joint¶m=51
Jaroslav Krivánek , Jaakko Konttinen, Sumanta N. Pattanaik, Kadi Bouatouch, Jirí Zára : Fast approximation to spherical harmonic rotation.
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49
fast memory efficient evaluation of spherical polynomials at ...
http://people.math.sc.edu/pencho/Publications/KP-8-6-09-web.pdf
We propose a new approximation scheme based on “father needlets”. These are kernels on the sphere which reproduce high order spherical harmonics and are ...
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http://people.math.sc.edu/pencho/Publications/KP-8-6-09-web.pdf
We propose a new approximation scheme based on “father needlets”. These are kernels on the sphere which reproduce high order spherical harmonics and are ...
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50
Approximation of Potential Energy Surfaces with Spherical ...
https://deepai.org/publication/approximation-of-potential-energy-surfaces-with-spherical-harmonics
These representations often rely on the use of spherical harmonics, which are natural objects to describe rotations. This is the case of the ...
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https://deepai.org/publication/approximation-of-potential-energy-surfaces-with-spherical-harmonics
These representations often rely on the use of spherical harmonics, which are natural objects to describe rotations. This is the case of the ...
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51
Fast Relighting of Global Illumination using Radiance Transfer ...
http://www.danbgoldman.com/uw/papers/EWR.pdf
Rotations of the object and/or environment are computed using spherical harmonic ... spherical harmonic basis functions used in the approximations.
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http://www.danbgoldman.com/uw/papers/EWR.pdf
Rotations of the object and/or environment are computed using spherical harmonic ... spherical harmonic basis functions used in the approximations.
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52
Fast Directional Spatially Localized Spherical Harmonic ...
https://infoscience.epfl.ch/record/180379/files/Khalid_double.pdf
depending on the band-limits of the signal and window, a fast algorithm for the efficient computation ... B. Rotations on the Sphere and Wigner-D Functions.
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https://infoscience.epfl.ch/record/180379/files/Khalid_double.pdf
depending on the band-limits of the signal and window, a fast algorithm for the efficient computation ... B. Rotations on the Sphere and Wigner-D Functions.
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53
Rotation Matrices for Real Spherical Harmonics. Direct ...
https://pubs.acs.org/doi/abs/10.1021/jp953350u
An approximate density-functional method using the Harris-Foulkes functional. ... A fast and stable method for rotating spherical harmonic ...
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https://pubs.acs.org/doi/abs/10.1021/jp953350u
An approximate density-functional method using the Harris-Foulkes functional. ... A fast and stable method for rotating spherical harmonic ...
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54
A Fast Spherical Filter with Uniform Resolution
https://math.nist.gov/~BAlpert/filter.pdf
grid on the surface of a sphere, equivalent to a triangular, rithms. isotropic truncation of the spherical harmonic coefficients for the. In this paper we ...
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https://math.nist.gov/~BAlpert/filter.pdf
grid on the surface of a sphere, equivalent to a triangular, rithms. isotropic truncation of the spherical harmonic coefficients for the. In this paper we ...
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55
Numerically approximating functions on the sphere by rotating ...
https://math.stackexchange.com/questions/3245825/numerically-approximating-functions-on-the-sphere-by-rotating-zonal-harmonics
Instead, I have been advised to form an orthonormal basis of Legendre polynomials by rotating the zonal harmonics. Numerically, this is where I ...
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https://math.stackexchange.com/questions/3245825/numerically-approximating-functions-on-the-sphere-by-rotating-zonal-harmonics
Instead, I have been advised to form an orthonormal basis of Legendre polynomials by rotating the zonal harmonics. Numerically, this is where I ...
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56
Fast Spherical Harmonic Transform Routine FLTSS Applied to ...
https://journals.ametsoc.org/view/journals/mwre/133/3/mwr-2871.1.xml
Abstract The fast spherical harmonic transform algorithm proposed by Suda and Takami is evaluated in the solutions of the shallow water equation test set ...
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https://journals.ametsoc.org/view/journals/mwre/133/3/mwr-2871.1.xml
Abstract The fast spherical harmonic transform algorithm proposed by Suda and Takami is evaluated in the solutions of the shallow water equation test set ...
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57
Journal of Computational Physics - NSF PAR
https://par.nsf.gov/servlets/purl/10184537
A fast and accurate algorithm for spherical harmonic analysis ... produces an approximation to the spherical harmonic coefficients from the ...
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https://par.nsf.gov/servlets/purl/10184537
A fast and accurate algorithm for spherical harmonic analysis ... produces an approximation to the spherical harmonic coefficients from the ...
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58
Filtering on the Unit Sphere Using Spherical Harmonics
https://isas.iar.kit.edu/pdf/MFI17_Pfaff-SphericalHarmonics.pdf
for arbitrary likelihood functions and rotationally symmetric system noises. ... polynomials, fast algorithms to calculate spherical harmonics.
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https://isas.iar.kit.edu/pdf/MFI17_Pfaff-SphericalHarmonics.pdf
for arbitrary likelihood functions and rotationally symmetric system noises. ... polynomials, fast algorithms to calculate spherical harmonics.
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59
SAF: saf_sh - GitHub Pages
https://leomccormack.github.io/Spatial_Audio_Framework/group___s_h.html
Generates a real-valued spherical harmonic rotation matrix [1] based on a 3x3 ... Computes approximation of quadrature/integration weights for a given grid.
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https://leomccormack.github.io/Spatial_Audio_Framework/group___s_h.html
Generates a real-valued spherical harmonic rotation matrix [1] based on a 3x3 ... Computes approximation of quadrature/integration weights for a given grid.
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60
On the computation of spherical designs by a ... - TU Chemnitz
https://www-user.tu-chemnitz.de/~potts/paper/designsS2.pdf
fast spherical Fourier transforms we perform gradient and Hessian evaluations in ... mization methods on Riemannian manifolds, spherical harmonics, ...
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https://www-user.tu-chemnitz.de/~potts/paper/designsS2.pdf
fast spherical Fourier transforms we perform gradient and Hessian evaluations in ... mization methods on Riemannian manifolds, spherical harmonics, ...
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61
A Spherical Harmonic Transform Approach to the Indexing of ...
https://www.osti.gov/pages/servlets/purl/1575858
approximations on galaxy weak lensing, JCAP 5 (2017) 14. 552. [19] A. Makadia, L. Sorgi, K. Daniilidis, Rotation estimation from spherical.
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https://www.osti.gov/pages/servlets/purl/1575858
approximations on galaxy weak lensing, JCAP 5 (2017) 14. 552. [19] A. Makadia, L. Sorgi, K. Daniilidis, Rotation estimation from spherical.
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62
Student: Lee Reeves Course: APM 502 Program: Mathematics ...
https://math.asu.edu/sites/default/files/reeves_lee_apm_502_project_2_math_ma_portfolio_spring_2020-publish.pdf
Spherical harmonics are the angular portion of the solution to Laplace's differential equation. △u = 0, or, equivalently, the solutions to ...
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https://math.asu.edu/sites/default/files/reeves_lee_apm_502_project_2_math_ma_portfolio_spring_2020-publish.pdf
Spherical harmonics are the angular portion of the solution to Laplace's differential equation. △u = 0, or, equivalently, the solutions to ...
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63
Protein–ligand recognition using spherical harmonic ...
http://www.cbi.cnptia.embrapa.br/SMScg/maigret01.pdf
towards a fast and efficient filter for large virtual throughput screening ... Since rotations of spherical harmonic surfaces can.
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http://www.cbi.cnptia.embrapa.br/SMScg/maigret01.pdf
towards a fast and efficient filter for large virtual throughput screening ... Since rotations of spherical harmonic surfaces can.
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64
More Notes on Calculating the Spherical Harmonics
https://justinwillmert.com/articles/2022/more-notes-on-calculating-the-spherical-harmonics/
Equispaced rings allow recasting the complex exponential summation in m to be performed via a fast Fourier transform (FFT). Notably, the ...
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https://justinwillmert.com/articles/2022/more-notes-on-calculating-the-spherical-harmonics/
Equispaced rings allow recasting the complex exponential summation in m to be performed via a fast Fourier transform (FFT). Notably, the ...
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65
a fast algorithm for spherical basis approximation
https://www.math.uni-luebeck.de/mitarbeiter/prestin/ps/sharma.pdf
We present a fast algorithm for scattered data interpolation and approximation on the sphere with spherical radial basis functions of different spatial ...
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https://www.math.uni-luebeck.de/mitarbeiter/prestin/ps/sharma.pdf
We present a fast algorithm for scattered data interpolation and approximation on the sphere with spherical radial basis functions of different spatial ...
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66
Spherical Harmonic Lighting: The Gritty Details
https://3dvar.com/Green2003Spherical.pdf
My wife Christiane, for keeping my head in the real world. Appendix 1: Fast SH Rotations. The 1996 paper “Rotation Matrices for Real Spherical ...
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https://3dvar.com/Green2003Spherical.pdf
My wife Christiane, for keeping my head in the real world. Appendix 1: Fast SH Rotations. The 1996 paper “Rotation Matrices for Real Spherical ...
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67
Fast, Exact, and Stable Computation of Multipole Translation ...
http://users.umiacs.umd.edu/~ramani/pubs/multipole.pdf
3.2.3 Rotation of the Spherical Harmonics for Specified Q . . ... rely on an approximate “plane-wave” integral proposed by Rokhlin, that must be computed ...
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http://users.umiacs.umd.edu/~ramani/pubs/multipole.pdf
3.2.3 Rotation of the Spherical Harmonics for Specified Q . . ... rely on an approximate “plane-wave” integral proposed by Rokhlin, that must be computed ...
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68
An extension of spherical harmonics to region-based ...
https://kundoc.com/download/an-extension-of-spherical-harmonics-to-region-based-rotationally-invariant-descr_5a82c179d64ab211d0a48b2e.html
crystallographic fast rotation function, small-angle scattering particle ... Keywords: Spherical harmonics; Zernike polynomials; Invariant descriptors; ...
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https://kundoc.com/download/an-extension-of-spherical-harmonics-to-region-based-rotationally-invariant-descr_5a82c179d64ab211d0a48b2e.html
crystallographic fast rotation function, small-angle scattering particle ... Keywords: Spherical harmonics; Zernike polynomials; Invariant descriptors; ...
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69
Accurate calculation of spherical and vector spherical ...
https://personal.ntu.edu.sg/lilian/BoWangAiCOM2017.pdf
puting the spherical/vector spherical harmonic expansion of a ... sphere S2, and consider the spectral element approximations of unknown function u.
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https://personal.ntu.edu.sg/lilian/BoWangAiCOM2017.pdf
puting the spherical/vector spherical harmonic expansion of a ... sphere S2, and consider the spectral element approximations of unknown function u.
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70
Differential Rotation — starry 1.0.0 documentation
https://luger.dev/legacy/starry/v1.0.0/notebooks/DifferentialRotation.html
This is the order of the approximation to differential rotation and ... In general, the spherical harmonic expansion scales terribly with ...
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https://luger.dev/legacy/starry/v1.0.0/notebooks/DifferentialRotation.html
This is the order of the approximation to differential rotation and ... In general, the spherical harmonic expansion scales terribly with ...
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71
A Novel Sampling Theorem on the Sphere - CIBM
https://cibm.ch/wp-content/uploads/06006544.pdf
on the sphere, resulting in approximate harmonic transforms ... The development of sampling theorems on the sphere and fast.
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https://cibm.ch/wp-content/uploads/06006544.pdf
on the sphere, resulting in approximate harmonic transforms ... The development of sampling theorems on the sphere and fast.
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72
On the Expansion of a Function in Terms of Spherical ...
https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-2/issue-4/On-the-expansion-of-a-function-in-terms-of-spherical/10.36045/bbms/1103408694.pdf
Heine's handbook of spherical harmonics which appeared in 1861 and reproduced ... of polynomial approximation on compact smooth manifolds.
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https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-2/issue-4/On-the-expansion-of-a-function-in-terms-of-spherical/10.36045/bbms/1103408694.pdf
Heine's handbook of spherical harmonics which appeared in 1861 and reproduced ... of polynomial approximation on compact smooth manifolds.
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73
Steve Marschner CS5625 Spring 2016 - Cornell CS
http://www.cs.cornell.edu/courses/cs5625/2016sp/slides/14sh-lighting.pdf
The first 5 SH bands plotted as unsigned spherical functions by ... function (when they bunch together the function is changing faster, etc.).
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http://www.cs.cornell.edu/courses/cs5625/2016sp/slides/14sh-lighting.pdf
The first 5 SH bands plotted as unsigned spherical functions by ... function (when they bunch together the function is changing faster, etc.).
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74
Linearly scaling computation of ddPCM solvation energy and ...
https://chemrxiv.org/engage/api-gateway/chemrxiv/assets/orp/resource/item/62b029d43f333e0467768817/original/linearly-scaling-computation-of-dd-pcm-solvation-energy-and-forces-using-the-fast-multipole-method.pdf
of atoms of the solute molecule. The use of spherical harmonics as basis functions makes it natural to employ the fast multipole method (FMM) in order to ...
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https://chemrxiv.org/engage/api-gateway/chemrxiv/assets/orp/resource/item/62b029d43f333e0467768817/original/linearly-scaling-computation-of-dd-pcm-solvation-energy-and-forces-using-the-fast-multipole-method.pdf
of atoms of the solute molecule. The use of spherical harmonics as basis functions makes it natural to employ the fast multipole method (FMM) in order to ...
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75
Computation of the head-related transfer function via the fast ...
https://asa.scitation.org/doi/10.1121/1.3257598
Computations are reduced to a two stage process, the computation of the spherical spectrum and a subsequent evaluation of the HRTF. This representation allows ...
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https://asa.scitation.org/doi/10.1121/1.3257598
Computations are reduced to a two stage process, the computation of the spherical spectrum and a subsequent evaluation of the HRTF. This representation allows ...
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76
SPHERICAL HARMONICS BASED TECHNIQUES FOR ...
https://etd.ohiolink.edu/apexprod/rws_etd/send_file/send?accession=osu1243955769&disposition=attachment
phase function, c is the speed of light, and Ω is the solid angle. ... The most popular approximate methods are (i)Spherical Harmonics Method.
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https://etd.ohiolink.edu/apexprod/rws_etd/send_file/send?accession=osu1243955769&disposition=attachment
phase function, c is the speed of light, and Ω is the solid angle. ... The most popular approximate methods are (i)Spherical Harmonics Method.
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77
Spherical Harmonics Coefficients for Ligand-Based Virtual ...
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0021554
We introduce and validate a partially rotation-invariant three-dimensional molecular shape descriptor based on the norm of spherical harmonics ...
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https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0021554
We introduce and validate a partially rotation-invariant three-dimensional molecular shape descriptor based on the norm of spherical harmonics ...
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78
AZIMUTHAL ROTATIONAL EQUIVARIANCE IN SPHERI
https://openreview.net/pdf?id=sp3Z1jiS2vn
acting on the spherical harmonic expansion coefficients of its input. ... planetary data like surface temperature or wind speed measurements (Mudigonda et ...
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https://openreview.net/pdf?id=sp3Z1jiS2vn
acting on the spherical harmonic expansion coefficients of its input. ... planetary data like surface temperature or wind speed measurements (Mudigonda et ...
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79
Approximations on SO(3) by Wigner D-matrix and applications
https://ccam.math.purdue.edu/docs/final_2016_2.pdf
for periodic functions or spherical harmonic expansion for functions in spherical ... The development of fast transformation between the physical and the.
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https://ccam.math.purdue.edu/docs/final_2016_2.pdf
for periodic functions or spherical harmonic expansion for functions in spherical ... The development of fast transformation between the physical and the.
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80
How can I think of spherical harmonics intuitively? : r/math
https://www.reddit.com/r/math/comments/qoqos4/how_can_i_think_of_spherical_harmonics_intuitively/
And that's basically what the spherical harmonics are: 2D basis functions defined on the surface of a sphere which allow you to approximate ...
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https://www.reddit.com/r/math/comments/qoqos4/how_can_i_think_of_spherical_harmonics_intuitively/
And that's basically what the spherical harmonics are: 2D basis functions defined on the surface of a sphere which allow you to approximate ...
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81
ISOTROPIC GAUSSIAN RANDOM FIELDS ON THE SPHERE
https://www.jstor.org/stable/24521651
aspects of fast sample generation via fast Fourier transforms on the sphere ... cretizations based on the spherical harmonic functions are proven.
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https://www.jstor.org/stable/24521651
aspects of fast sample generation via fast Fourier transforms on the sphere ... cretizations based on the spherical harmonic functions are proven.
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82
Hex Gallery
http://hex.loria.fr/gallery/
This image represents the resulting spherical harmonic surface approximation of the molecular surface of an antibody VH domain, using harmonics up to L=14.
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http://hex.loria.fr/gallery/
This image represents the resulting spherical harmonic surface approximation of the molecular surface of an antibody VH domain, using harmonics up to L=14.
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83
Area and Environmental Light William DiSanto
https://web.cs.wpi.edu/~emmanuel/courses/cs563/S12/slides/cs563_Will_DiSanto_wk3_p2.pdf
Area Light Source Approximation ... Fast to compute, small set of polynomials ... Rotation invariant spherical harmonic representation of 3D shape.
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https://web.cs.wpi.edu/~emmanuel/courses/cs563/S12/slides/cs563_Will_DiSanto_wk3_p2.pdf
Area Light Source Approximation ... Fast to compute, small set of polynomials ... Rotation invariant spherical harmonic representation of 3D shape.
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84
Efficient and Differentiable Shadow Computation for Inverse ...
https://vcai.mpi-inf.mpg.de/projects/DifferentiableShadows/data/paper.pdf
and compute visibility in the spherical harmonics space. Abstract ... a fast approximation of this integration by using spherical harmonics as introduced ...
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https://vcai.mpi-inf.mpg.de/projects/DifferentiableShadows/data/paper.pdf
and compute visibility in the spherical harmonics space. Abstract ... a fast approximation of this integration by using spherical harmonics as introduced ...
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85
An Approximate and Efficient Method for Optimal Rotation ...
https://www.cs.jhu.edu/~misha/MyPapers/TPAMI07.pdf
The initial axis optimization step can then be performed using the Fast Spherical Harmonic Transform and the angular refinement can be performed ...
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https://www.cs.jhu.edu/~misha/MyPapers/TPAMI07.pdf
The initial axis optimization step can then be performed using the Fast Spherical Harmonic Transform and the angular refinement can be performed ...
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86
Gabriel Peyré on Twitter: "Approximation of a function on the ...
https://twitter.com/gabrielpeyre/status/1496726590058729473?lang=en
orthopy also has some nice visualizations of spherical harmonics without ... is there a fast transform to compute the coefficients?
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https://twitter.com/gabrielpeyre/status/1496726590058729473?lang=en
orthopy also has some nice visualizations of spherical harmonics without ... is there a fast transform to compute the coefficients?
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87
Computing Spherical Transform and Convolution on the 2 ...
http://people.csail.mit.edu/ythomas/unpublished/6869.pdf
function and filter onto the span of spherical harmonics and ... The sampling theorem, convolution theorem and fast spherical transform ...
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http://people.csail.mit.edu/ythomas/unpublished/6869.pdf
function and filter onto the span of spherical harmonics and ... The sampling theorem, convolution theorem and fast spherical transform ...
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88
fast algorithms for spherical harmonic expansions
http://tygert.com/sph2.pdf
Key words. spherical harmonics, fast algorithms, expansions ... Formula (1.6) is viewed as an approximation to the function f, and N is called.
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http://tygert.com/sph2.pdf
Key words. spherical harmonics, fast algorithms, expansions ... Formula (1.6) is viewed as an approximation to the function f, and N is called.
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89
Spherical Harmonics - University of Manitoba
https://home.cc.umanitoba.ca/~slevinrm/PDF/SphericalHarmonics2017.pdf
Fast and backward stable transforms between spherical harmonic expansions and bivariate Fourier series. Richard Mikael Slevinsky.
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https://home.cc.umanitoba.ca/~slevinrm/PDF/SphericalHarmonics2017.pdf
Fast and backward stable transforms between spherical harmonic expansions and bivariate Fourier series. Richard Mikael Slevinsky.
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90
A First-Order Spherical Harmonics Formulation ... - IPEN
https://www.ipen.br/biblioteca/cd/physor/2004/PHYSOR04/papers/95634.pdf
Similarly, spherical harmonic approximations are applied to the angular ... In VARIANT, the odd-parity spherical harmonics are rotated to align the polar ...
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https://www.ipen.br/biblioteca/cd/physor/2004/PHYSOR04/papers/95634.pdf
Similarly, spherical harmonic approximations are applied to the angular ... In VARIANT, the odd-parity spherical harmonics are rotated to align the polar ...
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91
The Spherical Harmonics
http://scipp.ucsc.edu/~haber/ph116C/SphericalHarmonics_12.pdf
chosen such that the spherical harmonics are normalized to one. ... invariant with respect to rigid rotations of the coordinate system. The length r is also.
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http://scipp.ucsc.edu/~haber/ph116C/SphericalHarmonics_12.pdf
chosen such that the spherical harmonics are normalized to one. ... invariant with respect to rigid rotations of the coordinate system. The length r is also.
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92
Spherical Harmonics for Lighting - Arm Community
https://community.arm.com/cfs-file/__key/telligent-evolution-components-attachments/01-2066-00-00-00-01-27-70/Simplifying_2D00_Spherical_2D00_Harmonics_2D00_for_2D00_Lighting.pdf
In computer graphics, spherical harmonics are used as a form of ... function is the same as the rotated SH approximation of the original function.
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https://community.arm.com/cfs-file/__key/telligent-evolution-components-attachments/01-2066-00-00-00-01-27-70/Simplifying_2D00_Spherical_2D00_Harmonics_2D00_for_2D00_Lighting.pdf
In computer graphics, spherical harmonics are used as a form of ... function is the same as the rotated SH approximation of the original function.
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93
Fast Algorithms for Spherical Harmonic Expansions
http://www.cs.yale.edu/publications/techreports/tr1309.pdf
evaluation of the coefficients in spherical harmonic expansions of functions ... (6) is viewed as an approximation to the function f, ...
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http://www.cs.yale.edu/publications/techreports/tr1309.pdf
evaluation of the coefficients in spherical harmonic expansions of functions ... (6) is viewed as an approximation to the function f, ...
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