SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Stratified sampling of spherical triangles
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Consequences of stratified sampling in graphics
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Monte Carlo Methods for Applied Scientists
Monte Carlo Methods for Applied Scientists
Optimal Monte Carlo Algorithms
JVA '06 Proceedings of the IEEE John Vincent Atanasoff 2006 International Symposium on Modern Computing
Parallel Monte Carlo approach for integration of the rendering equation
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
Parallel Monte Carlo sampling scheme for sphere and hemisphere
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
Monte Carlo Methods in Global Illumination - Photo-realistic Rendering with Randomization
Monte Carlo Methods in Global Illumination - Photo-realistic Rendering with Randomization
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This paper considers the uniform separation technique of integration domain for Monte Carlo image creation Uniform Separation technique is based on symmetrical separation into small equal size sub-domains to solve the rendering equation which describes the photons propagation in a virtual scene It tries to reduce the variance at solving the rendering equation pixel by pixel in the image pixels matrix. Our goal is to analyze and study the Monte Carlo estimators by Uniform Separation for numerical treatment of the rendering equation, as well as the influence over the total process of image creation We develop our consideration on the base of mathematical theory for Monte Carlo estimations and the experience of image creation New results for the symmetric separation of integration domain are obtained and presented.