Description and Solution of an Unreported Intrinsic Bias in Photon Mapping Density Estimation with Constant Kernel

This paper presents an analysis of the irradiance estimator often used in photon mapping algorithms and concludes that the classical approach with a constant kernel overestimates the correct value. We propose a new estimator that solves this problem and provide both theoretical and empirical studies...

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Bibliographic Details
Published in:Computer graphics forum Vol. 31; no. 1; pp. 33 - 41
Main Authors: García, R., Ureña, C., Sbert, M.
Format: Journal Article
Language:English
Published: Oxford, UK Blackwell Publishing Ltd 01.02.2012
Subjects:
Algorithms
Analysis
Computer graphics
Density
Empirical analysis
Estimators
F.2.2 [Analysis of Algorithms and Problem Complexity]: Non-numerical Algorithms and Problems
G.3 [Probability and Statistics]
I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism
Image processing systems
Kernels
Mapping
Mathematical models
Photons
Studies
ISSN:0167-7055, 1467-8659
Online Access:Get full text
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Summary:This paper presents an analysis of the irradiance estimator often used in photon mapping algorithms and concludes that the classical approach with a constant kernel overestimates the correct value. We propose a new estimator that solves this problem and provide both theoretical and empirical studies to verify it.
Bibliography:ArticleID:CGF2081
istex:060A693554540703E3384BEE563323EE4AB8093B
ark:/67375/WNG-M353470G-Q
ObjectType-Article-1
SourceType-Scholarly Journals-1
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ObjectType-Article-2
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ISSN:0167-7055
1467-8659
DOI:10.1111/j.1467-8659.2011.02081.x