Results 201 to 210 of about 7,674 (246)
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The Visual Computer, 2006
In this paper, we present a new SH operation, called spherical harmonics scaling, to shrink or expand a spherical function in the frequency domain. We show that this problem can be elegantly formulated as a linear transformation of SH projections, which is efficient to compute and easy to implement on a GPU.
Jiaping Wang +5 more
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In this paper, we present a new SH operation, called spherical harmonics scaling, to shrink or expand a spherical function in the frequency domain. We show that this problem can be elegantly formulated as a linear transformation of SH projections, which is efficient to compute and easy to implement on a GPU.
Jiaping Wang +5 more
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SIGGRAPH Asia 2017 Technical Briefs, 2017
Spherical Harmonics (SH) are a convenient basis for representing various signals in computer graphics, with lighting and visibility being the most common. While the inputs tend to be strictly positive, after projection the reconstructed function can be negative.
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Spherical Harmonics (SH) are a convenient basis for representing various signals in computer graphics, with lighting and visibility being the most common. While the inputs tend to be strictly positive, after projection the reconstructed function can be negative.
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On the Symmetries of Spherical Harmonics
Canadian Journal of Mathematics, 1954Letbe a finite group of transformations of three-dimensional Euclidean space, such that the distance between any two points is preserved by all transformations of the group. Such a group is a group of orthogonal linear transformations of three variables, or, geometrically speaking, a group of rotations and rotatory inversions. Thirty-two groups of this
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Advances in Applied Clifford Algebras, 2016
Let \(\Delta\) be the Laplace operator in \(\mathbb R^3\) with the coordinates \((x,y,t)\). The author is interested in the solutions of the equation \[ t \Delta v + \frac{\partial v}{\partial t} =0 \tag{1} \] which is a particular case of the equation \[ t \Delta v+ \lambda \frac{\partial v}{\partial t} =0 ,\tag{2} \] with \(\lambda\) real ...
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Let \(\Delta\) be the Laplace operator in \(\mathbb R^3\) with the coordinates \((x,y,t)\). The author is interested in the solutions of the equation \[ t \Delta v + \frac{\partial v}{\partial t} =0 \tag{1} \] which is a particular case of the equation \[ t \Delta v+ \lambda \frac{\partial v}{\partial t} =0 ,\tag{2} \] with \(\lambda\) real ...
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1998
Abstract J 28.] The mathematical theory of spherical harmonics has been made the subject of several special treatises. The Handbuch <ler Kuge(functionen of Dr. E. Heine, which is the most elaborate work on the subject, has now (1878) reached a second edition in two volumes, and Dr. F.
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Abstract J 28.] The mathematical theory of spherical harmonics has been made the subject of several special treatises. The Handbuch <ler Kuge(functionen of Dr. E. Heine, which is the most elaborate work on the subject, has now (1878) reached a second edition in two volumes, and Dr. F.
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Computation of Spherical Harmonics and Approximation by Spherical Harmonic Expansions,
1985Abstract : A technique is developed for generating spherical harmonics by exact computation (in integer mode) thereby circumventing any source of rounding errors. Essential results of the theory of spherical harmonics are recapitulated by intrinsic properties of the space of homogeneous harmonic polynomials.
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1988
In Chaps. 13, 14 and 15 we have studied the motion of a particle of mass m under the influence of a spherically symmetric potential V(r). With such a potential the forces act only in the direction of the line from the origin of coordinates to the position of the particle, i.e.
Erich W. Schmid +2 more
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In Chaps. 13, 14 and 15 we have studied the motion of a particle of mass m under the influence of a spherically symmetric potential V(r). With such a potential the forces act only in the direction of the line from the origin of coordinates to the position of the particle, i.e.
Erich W. Schmid +2 more
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Fast and accurate spherical harmonics products
ACM Transactions on Graphics, 2021Hanggao Xin, Ling-Qi Yan, Shi-Min Hu
exaly