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US-2015381146-A1 · Dec 31, 2015 · US
US9703756B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-9703756-B2 |
| Application number | US-35458309-A |
| Country | US |
| Kind code | B2 |
| Filing date | Jan 15, 2009 |
| Priority date | Sep 5, 2008 |
| Publication date | Jul 11, 2017 |
| Grant date | Jul 11, 2017 |
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An analytical method to efficiently convert a function that is stored in spherical harmonics into a function that is stored in a wavelet or mip map representation enables a variety of computer graphics functions to be efficiently performed. A function may be stored as a spherical harmonic representation and rotated in the spherical harmonic domain; the function can then be converted to a wavelet representation. The conversion method may be used to convert a spherical harmonic function to wavelets, and then an importance sampling technique may be applied to the wavelet representation to generate a set of importance samples for the function. The conversion method may be applied to convert a spherical harmonic representation into the wavelet domain, and an importance sampling technique may then be applied which samples the product of the function and another function in the wavelet domain.
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What is claimed is: 1. A computer-implemented method, comprising: storing a function as a spherical harmonic representation that is a weighted sum of basis functions; converting, by a computing device, the spherical harmonic representation of the function into a multi-resolution representation of the function according to an analytic conversion technique, the analytic conversion technique including: calculating an integral of the spherical harmonic representation of the functio…
Physics · mapped topic
Physics · mapped topic
Physics · mapped topic
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