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Keywords
(7)
Computer Graphic
Distributed Ray Tracing
Integral Equation
Monte Carlo
Ray Tracing
Rendering Equation
Variance Reduction
Related Publications
(67)
Distributed ray tracing
An improved illumination model for shaded display
Modeling the interaction of light between diffuse surfaces
BiDirectional Path Tracing
Texture and reflection in computer generated images
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The rendering equation
The rendering equation,10.1145/15922.15902,ACM Siggraph Computer Graphics,James T. Kajiya
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The rendering equation
(
Citations: 893
)
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James T. Kajiya
We present an
integral equation
which generalizes a variety of known rendering algorithms. In the course of discussing a
monte carlo
solution we also present a new form of variance reduction, called Hierarchical sampling and give a number of elaborations shows that it may be an efficient new technique for a wide variety of
monte carlo
procedures. The resulting rendering algorithm extends the range of optical phenomena which can be effectively simulated.
Journal:
ACM Siggraph Computer Graphics
, vol. 20, no. 4, pp. 143150, 1986
DOI:
10.1145/15922.15902
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Citation Context
(395)
...Thefirst integrative approach was first stated as an algorithm by Kajiya (
1986
)...
Carlos E. Ochoa
,
et al.
State of the art in lighting simulation for building science: a litera...
...Assuming all objects in the scene are nonemitters and the light sources are infinitely distant, the image irradiance equation can be defined as [
17
]...
Chenglei Wu
,
et al.
Highquality shape from multiview stereo and shading under general il...
...A description of steadystate light transport in a scene is referred to as the rendering equation (
Kajiya 1986
)...
...We introduce a variation of the rendering equation (
Kajiya 1986;
Immel et al. 1986) in which we represent the time light takes to traverse distances within the scene by a finite delay...
Ahmed Kirmani
,
et al.
Looking Around the Corner using Ultrafast Transient Imaging
...LOBAL illumination algorithms focus on solving the light transport equation (LTE) [
1
]:...
...In the domain of rendering, several methods have emerged, taking into account the form of the integrand given by the rendering equation [
1
]...
Anthony Pajot
,
et al.
Representativity for Robust and Adaptive Multiple Importance Sampling
...With the development of physically based rendering algorithms based on the rendering equation [
9
], knowledge of the computer graphics community has been applied to the evaluation of vision metrology setups ([10], [11], [12])...
...It is based on the rendering and measurement equation [
9
], which are solved using Monte Carlo methods...
...The basic principle of our simulation approach is the path tracing algorithm originally formulated by Kajiya [
9
]...
...The rendering equation [
9
] is based on energy conservation:...
Sebastian von Enzberg
,
et al.
A physical simulation approach for active photogrammetric 3D measureme...
References
(13)
Stochastic sampling in computer graphics
(
Citations: 352
)
Robert L. Cook
Journal:
ACM Transactions on Graphics  TOG
, vol. 5, no. 1, pp. 5172, 1986
Hibbs quantum mechanic8 and path integrals
(
Citations: 2
)
R. P. Feynman
Published in 1965.
The hemicube: a radiosity solution for complex environments
(
Citations: 311
)
Michael F. Cohen
,
Donald P. Greenberg
Conference:
Annual Conference on Computer Graphics  SIGGRAPH
, pp. 3140, 1985
An improved illumination model for shaded display
(
Citations: 879
)
Turner Whitted
Journal:
Communications of The ACM  CACM
, vol. 23, no. 6, pp. 343349, 1980
Statistically optimized sampling for distributed ray tracing
(
Citations: 138
)
Mark E. Lee
,
Richard A. Redner
,
Samuel P. Uselton
Journal:
ACM Siggraph Computer Graphics
, vol. 19, no. 3, pp. 6168, 1985
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Citations
(893)
State of the art in lighting simulation for building science: a literature review
Carlos E. Ochoa
,
Myriam B. C. Aries
,
Jan L. M. Hensen
Journal:
Journal of Building Performance Simulation
, vol. 5, no. 4, pp. 209233, 2012
Efficient Rasterization for Outdoor Radio Wave Propagation
(
Citations: 2
)
Arne Schmitz
,
Tobias Rick
,
Thomas Karolski
,
Torsten Kuhlen
,
Leif Kobbelt
Journal:
IEEE Transactions on Visualization and Computer Graphics  TVCG
, vol. 17, no. 2, pp. 159170, 2011
Highquality shape from multiview stereo and shading under general illumination
(
Citations: 1
)
Chenglei Wu
,
Bennett Wilburn
,
Yasuyuki Matsushita
,
Christian Theobalt
Published in 2011.
Looking Around the Corner using Ultrafast Transient Imaging
Ahmed Kirmani
,
Tyler Hutchison
,
James Davis
,
Ramesh Raskar
Journal:
International Journal of Computer Vision  IJCV
, vol. 95, no. 1, pp. 1328, 2011
A comprehensive theory of volumetric radiance estimation using photon points and beams
Wojciech Jarosz
,
Derek Nowrouzezahrai
,
Iman Sadeghi
,
Henrik Wann Jensen
Journal:
ACM Transactions on Graphics  TOG
, vol. 30, no. 1, pp. 119, 2011