2007
DOI: 10.1145/1276377.1276412
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Frequency domain normal map filtering

Abstract: Filtering is critical for representing image-based detail, such as textures or normal maps, across a variety of scales. While mipmapping textures is commonplace, accurate normal map filtering remains a challenging problem because of nonlinearities in shading-we cannot simply average nearby surface normals. In this paper, we show analytically that normal map filtering can be formalized as a spherical convolution of the normal distribution function (NDF) and the BRDF, for a large class of common BRDFs such as La… Show more

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Cited by 87 publications
(13 citation statements)
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“…Our method is also limited by the use of a single SGGX lobe: it cannot pre-filter surfaces with strong microscopic correlations between the geometry and albedos [HSRG07,HN12] or normal distributions that are very different from SGGX lobes. More accurate solutions could be computed using multi-lobe SGGX distributions similarly to Zhao et al [ZWDR16] in order to handle more complex appearances and avoid accumulation of errors during the process, leading to overly rough normal distributions.…”
Section: Discussionmentioning
confidence: 99%
“…Our method is also limited by the use of a single SGGX lobe: it cannot pre-filter surfaces with strong microscopic correlations between the geometry and albedos [HSRG07,HN12] or normal distributions that are very different from SGGX lobes. More accurate solutions could be computed using multi-lobe SGGX distributions similarly to Zhao et al [ZWDR16] in order to handle more complex appearances and avoid accumulation of errors during the process, leading to overly rough normal distributions.…”
Section: Discussionmentioning
confidence: 99%
“…Remark 6: In order to evaluate (19), we note that the separation of variables approach [21] can be used as an alternative to the factoring of rotation approach to develop a fast algorithm. This is due to the factorized form of Wigner-D function and the consideration of equiangular tessellation scheme for SO (3), which keeps the independence between the samples along different Euler angles. In terms of the computational complexity, the separation of variable approach has the same computational complexity as the factoring of rotation approach.…”
Section: A Direct Quadrature and Harmonic Formulationmentioning
confidence: 99%
“…S IGNALS that are inherently defined on the sphere appear in various fields of science and engineering, such as medical image analysis [1], geodesy [2], computer graphics [3], planetary science [4], electromagnetic inverse problems [5], cosmology [6], 3D beamforming [7] and wireless channel modeling [8]. In order to analyze and process signals on the sphere, many signal processing techniques have been extended from the Euclidean domain to the spherical domain [2], [9]- [23].…”
Section: Introductionmentioning
confidence: 99%
“…Deferred Shading Molecular dynamics data sets often consist of hundreds of thousands of glyphs and the rendering is prone to aliasing, which typically stems from strongly varying normals. Similar problems are known from pointbased rendering and are typically addressed using prefiltering [ZPvBG01] or by accumulating prefiltered input to the lighting computation [BSK04,HSRG07]. We do not prefilter normal information, but instead estimate normals on-the-fly from data in image-space.…”
Section: Deferredmentioning
confidence: 99%