Article

Refinement criteria based on f-divergences

Authors:

Mateu SbertAuthors Info & Claims

EGRW '03: Proceedings of the 14th Eurographics workshop on Rendering

Pages 260 - 269

Published: 25 June 2003 Publication History

Abstract

In several domains a refinement criterion is often needed to decide whether to go on or to stop sampling a signal. When the sampled values are homogeneous enough, we assume that they represent the signal fairly well and we do not need further refinement, otherwise more samples are required, possibly with adaptive subdivision of the domain. For this purpose, a criterion which is very sensitive to variability is necessary. In this paper we present a family of discrimination measures, the f-divergences, meeting this requirement. These functions have been well studied and successfully applied to image processing and several areas of engineering. Two applications to global illumination are shown: oracles for hierarchical radiosity and criteria for adaptive refinement in ray-tracing. We obtain significantly better results than with classic criteria, showing that f-divergences are worth further investigation in computer graphics.

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Cited By

Yuan HZheng C(2018)Adaptive rendering based on robust principal component analysisThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-017-1360-234:4(551-562)Online publication date: 1-Apr-2018
https://dl.acm.org/doi/10.1007/s00371-017-1360-2
Nabata KIwasaki KDobashi YNishita T(2016)An Error Estimation Framework for Many-Light RenderingComputer Graphics Forum10.5555/3151666.315171035:7(431-439)Online publication date: 1-Oct-2016
https://dl.acm.org/doi/10.5555/3151666.3151710
Kim YSeo WKim YLim YNah JIhm I(2016)Adaptive undersampling for efficient mobile ray tracingThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-016-1251-y32:6-8(801-811)Online publication date: 1-Jun-2016
https://dl.acm.org/doi/10.1007/s00371-016-1251-y
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Index Terms

Refinement criteria based on f-divergences
1. Computing methodologies
  1. Artificial intelligence
    1. Computer vision
      1. Image and video acquisition
        3D imaging
  2. Computer graphics
    1. Animation

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cover image ACM Other conferences

EGRW '03: Proceedings of the 14th Eurographics workshop on Rendering

June 2003

320 pages

ISBN:3905673037

Conference Chairs:
Philip Dutré
Katholieke Universiteit Leuven
,
Frank Suykens
Katholieke Universiteit Leuven
,
Program Chairs:
Per H. Christensen
Pixar Animation Studios
,
Daniel Cohen-Or
Tel Aviv University

Sponsors

EUROGRAPHICS: The European Association for Computer Graphics

Publisher

Eurographics Association

Goslar, Germany

Publication History

Published: 25 June 2003

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EUROGRAPHICS

EGSR03: Eurographics Symposium on Rendering 2003

June 25 - 27, 2003

Leuven, Belgium

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Cited By

Yuan HZheng C(2018)Adaptive rendering based on robust principal component analysisThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-017-1360-234:4(551-562)Online publication date: 1-Apr-2018
https://dl.acm.org/doi/10.1007/s00371-017-1360-2
Nabata KIwasaki KDobashi YNishita T(2016)An Error Estimation Framework for Many-Light RenderingComputer Graphics Forum10.5555/3151666.315171035:7(431-439)Online publication date: 1-Oct-2016
https://dl.acm.org/doi/10.5555/3151666.3151710
Kim YSeo WKim YLim YNah JIhm I(2016)Adaptive undersampling for efficient mobile ray tracingThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-016-1251-y32:6-8(801-811)Online publication date: 1-Jun-2016
https://dl.acm.org/doi/10.1007/s00371-016-1251-y
Liu XZheng C(2015)Adaptive cluster rendering via regression analysisThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-013-0914-131:1(105-114)Online publication date: 1-Jan-2015
https://dl.acm.org/doi/10.1007/s00371-013-0914-1
Bramon RRuiz MBardera ABoada IFeixas MSbert MScheuermann G(2013)An information-theoretic observation channel for volume visualizationProceedings of the 15th Eurographics Conference on Visualization10.5555/2600534.2600591(411-420)Online publication date: 17-Jun-2013
https://dl.acm.org/doi/10.5555/2600534.2600591
Sbert MFeixas MViola IRigau JChover MSander P(2011)Information theory in computer graphics and visualizationSIGGRAPH Asia 2011 Courses10.1145/2077434.2077443(1-58)Online publication date: 12-Dec-2011
https://dl.acm.org/doi/10.1145/2077434.2077443
Szécsi LSzirmay-Kalos LKurt MCsébfalvi BHauser HKlein R(2010)Adaptive sampling for environment mappingProceedings of the 26th Spring Conference on Computer Graphics10.1145/1925059.1925073(69-76)Online publication date: 13-May-2010
https://dl.acm.org/doi/10.1145/1925059.1925073
Szirmay-Kalos LSzécsi L(2009)Deterministic importance sampling with error diffusionProceedings of the Twentieth Eurographics conference on Rendering10.1111/j.1467-8659.2009.01482.x(1055-1064)Online publication date: 29-Jun-2009
https://dl.acm.org/doi/10.1111/j.1467-8659.2009.01482.x
Křivánek JGautron PPattanaik SBouatouch K(2008)Radiance caching for efficient global illumination computationACM SIGGRAPH 2008 classes10.1145/1401132.1401228(1-19)Online publication date: 11-Aug-2008
https://dl.acm.org/doi/10.1145/1401132.1401228
Hachisuka TJarosz WWeistroffer RDale KHumphreys GZwicker MJensen H(2008)Multidimensional adaptive sampling and reconstruction for ray tracingACM SIGGRAPH 2008 papers10.1145/1399504.1360632(1-10)Online publication date: 11-Aug-2008
https://dl.acm.org/doi/10.1145/1399504.1360632
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