期刊
ACM TRANSACTIONS ON GRAPHICS
卷 32, 期 6, 页码 -出版社
ASSOC COMPUTING MACHINERY
DOI: 10.1145/2508363.2508386
关键词
Anisotropic Spherical Gaussians; Spherical Gaussians; Anisotropic BRDFs
资金
- National Basic Research Project of China [2012CB316400]
- Natural Science Foundation of China [61120106007, 61170153]
- National High Technology Research and Development Program of China [2012AA011503]
- PCSIRT
- Tsinghua University Initiative Scientific Research Program
- CCF-Intel Young Faculty Researcher Program
We present a novel anisotropic Spherical Gaussian (ASG) function, built upon the Bingham distribution [Bingham 1974], which is much more effective and efficient in representing anisotropic spherical functions than Spherical Gaussians (SGs). In addition to retaining many desired properties of SGs, ASGs are also rotationally invariant and capable of representing all-frequency signals. To further strengthen the properties of ASGs, we have derived approximate closed-form solutions for their integral, product and convolution operators, whose errors are nearly negligible, as validated by quantitative analysis. Supported by all these operators, ASGs can be adapted in existing SG-based applications to enhance their scalability in handling anisotropic effects. To demonstrate the accuracy and efficiency of ASGs in practice, we have applied ASGs in two important SG-based rendering applications and the experimental results clearly reveal the merits of ASGs.
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