Stratification by Rank-1-Lattices

  • Many rendering problems can only be solved using Monte Carlo integration. The noise and variance inherent with the statistical method efficiently can be reduced by stratification. So far only uncorrelated stratification methods were used that in addition depend on the dimension of the integration domain. Based on rank-1-lattices we present a new stratification technique that removes this dependency on dimension, is much more efficient by correlation, is trivial to implement, and robust to use. The superiority of the new scheme is demonstrated for standard rendering algorithms.

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Author:Alexander Keller
Serie (Series number):Interner Bericht des Fachbereich Informatik (322)
Document Type:Report
Language of publication:English
Publication Date:2017/10/26
Year of Publication:2002
Publishing Institute:Technische Universit├Ąt Kaiserslautern
Date of the Publication (Server):2017/10/26
Number of page:8
Faculties / Organisational entities:Kaiserslautern - Fachbereich Informatik
DDC-Cassification:0 Allgemeines, Informatik, Informationswissenschaft / 004 Informatik
Licence (German):Creative Commons 4.0 - Namensnennung, nicht kommerziell, keine Bearbeitung (CC BY-NC-ND 4.0)