Refinement Criteria Based on f-Divergences

Rigau, Jaume; Feixas, Miquel; Sbert, Mateu

Refinement Criteria Based on f-Divergences

Files

260-269.pdf (9.27 MB)

Date

2003

Authors

Rigau, Jaume
Feixas, Miquel
Sbert, Mateu

Publisher

The Eurographics Association

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.

        @inproceedings{:10.2312/EGWR/EGWR03/260-269
,
booktitle = {Eurographics Workshop on Rendering
},
editor = {Philip Dutre and Frank Suykens and Per H. Christensen and Daniel Cohen-Or
},
title = {{Refinement Criteria Based on f-Divergences
}},
author = {Rigau, Jaume and 
Feixas, Miquel and 
Sbert, Mateu
},
year = {2003
},
publisher = {The Eurographics Association
},
ISSN = {1727-3463
},
ISBN = {3-905673-03-7
},
DOI = {/10.2312/EGWR/EGWR03/260-269
}
}