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An Integral Geometry Based Method for Fast Form‐Factor Computation
Author(s) -
Sbert Mateu
Publication year - 1993
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.1230409
Subject(s) - rendering (computer graphics) , computer science , computation , monte carlo method , monte carlo integration , algorithm , mathematical optimization , geometry , computer graphics (images) , mathematics , hybrid monte carlo , statistics , markov chain monte carlo
Monte Carlo techniques have been widely used in rendering algorithms for local integration. For example, to compute the contribution of a patch to the luminance of another. In the present paper we propose an algorithm based on Integral geometry where Monte Carlo is applied globally. We give some results of the implementation to validate the proposition and we study the error of the technique, as well as its complexity.