A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Analysis Using Multigrid Relaxation Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Illumination and color in computer generated imagery
Illumination and color in computer generated imagery
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Particle transport and image synthesis
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Adaptive Smoothing: A General Tool for Early Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Unbiased sampling techniques for image synthesis
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Image selective smoothing and edge detection by nonlinear diffusion
SIAM Journal on Numerical Analysis
Discontinuity Meshing for Accurate Radiosity
IEEE Computer Graphics and Applications
A multi-scale approach to nonuniform diffusion
CVGIP: Image Understanding
Geometry-limited diffusion in the characterization of geometric patches in images
CVGIP: Image Understanding
Energy preserving non-linear filters
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
The RADIANCE lighting simulation and rendering system
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Optimally combining sampling techniques for Monte Carlo rendering
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Smooth B-spline illumination maps for bidirectional ray tracing
ACM Transactions on Graphics (TOG)
Monte Carlo techniques for direct lighting calculations
ACM Transactions on Graphics (TOG)
Global illumination using local linear density estimation
ACM Transactions on Graphics (TOG)
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
A model of visual masking for computer graphics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Orientable textures for image-based pen-and-ink illustration
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Processing images and video for an impressionist effect
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
A perceptually based adaptive sampling algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Efficient simulation of light transport in scenes with participating media using photon maps
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Stratified wavelength clusters for efficient spectral Monte Carlo rendering
Proceedings of the 1999 conference on Graphics interface '99
Principles of Digital Image Synthesis
Principles of Digital Image Synthesis
An Introduction to Nonlinear Image Processing
An Introduction to Nonlinear Image Processing
A Visibility Matching Tone Reproduction Operator for High Dynamic Range Scenes
IEEE Transactions on Visualization and Computer Graphics
Filtering: A note on the Use of Nonlinear Filtering in Computer Graphics
IEEE Computer Graphics and Applications
Composite Lighting Simulations with Lighting Networks
IEEE Computer Graphics and Applications
Multigrid anisotropic diffusion
IEEE Transactions on Image Processing
A Volterra type model for image processing
IEEE Transactions on Image Processing
Efficient and reliable schemes for nonlinear diffusion filtering
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Fast bilateral filtering for the display of high-dynamic-range images
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Accelerating path tracing by re-using paths
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
A Novel Monte Carlo Noise Reduction Operator
IEEE Computer Graphics and Applications
A frequency analysis of light transport
ACM SIGGRAPH 2005 Papers
Statistical acceleration for animated global illumination
ACM SIGGRAPH 2006 Papers
ACM SIGGRAPH Asia 2009 papers
ICCSA'07 Proceedings of the 2007 international conference on Computational science and Its applications - Volume Part II
Sample-space bright spots removal using density estimation
Proceedings of Graphics Interface 2011
On filtering the noise from the random parameters in Monte Carlo rendering
ACM Transactions on Graphics (TOG)
Reconstructing the indirect light field for global illumination
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Spatio-Temporal Filtering of Indirect Lighting for Interactive Global Illumination
Computer Graphics Forum
The State of the Art in Interactive Global Illumination
Computer Graphics Forum
Axis-aligned filtering for interactive sampled soft shadows
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Axis-aligned filtering for interactive physically-based diffuse indirect lighting
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Boosting monte carlo rendering by ray histogram fusion
ACM Transactions on Graphics (TOG)
Interactive appearance design in the presence of optically complex materials
MAM '13 Proceedings of the Eurographics 2013 Workshop on Material Appearance Modeling: Issues and Acquisition
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Monte Carlo sampling can be used to estimate solutions to global light transport and other rendering problems. However, a large number of observations may be needed to reduce the variance to acceptable levels. Rather than computing more observations within each pixel, if spatial coherence exists in image space it can be used to reduce visual error by averaging estimators in adjacent pixels. Anisotropic diffusion is a space-variant noise reduction technique that can selectively preserve texture, edges, and other details using a map of image coherence. The coherence map can be estimated from depth and normal information as well as interpixel color distance. Incremental estimation of the reduction in variance, in conjunction with statistical normalization of interpixel color distances, yields an energy-preserving algorithm that converges to a spatially nonconstant steady state.