Stochastic sampling in computer graphics
ACM Transactions on Graphics (TOG)
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Generating antialiased images at low sampling densities
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Antialiased ray tracing by adaptive progressive refinement
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Adaptive radiosity textures for bidirectional ray tracing
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Physically based lighting calculations for computer graphics
Physically based lighting calculations for computer graphics
Statistically optimized sampling for distributed ray tracing
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Antialiasing through stochastic sampling
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An improved illumination model for shaded display
Communications of the ACM
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Interval arithmetic recursive subdivision for implicit functions and constructive solid geometry
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
An updated cross-indexed guide to the ray-tracing literature
ACM SIGGRAPH Computer Graphics
Interactive manipulation and display of surfaces in four dimensions
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Spatial anti-aliasing for animation sequences with spatio-temporal filtering
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Energy preserving non-linear filters
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Monte Carlo approximation of form factors with error bounded a priori
Proceedings of the eleventh annual symposium on Computational geometry
Monte Carlo techniques for direct lighting calculations
ACM Transactions on Graphics (TOG)
Computing the discrepancy with applications to supersampling patterns
ACM Transactions on Graphics (TOG)
Image-guided streamline placement on curvilinear grid surfaces
Proceedings of the conference on Visualization '98
Splatting of Non Rectilinear Volumes Through Stochastic Resampling
IEEE Transactions on Visualization and Computer Graphics
Splatting of curvilinear volumes
VIS '95 Proceedings of the 6th conference on Visualization '95
Proceedings of the 3rd international symposium on Information processing in sensor networks
Fast hierarchical importance sampling with blue noise properties
ACM SIGGRAPH 2004 Papers
A procedural object distribution function
ACM Transactions on Graphics (TOG)
A spatial data structure for fast Poisson-disk sample generation
ACM SIGGRAPH 2006 Papers
Recursive Wang tiles for real-time blue noise
ACM SIGGRAPH 2006 Papers
ACM SIGGRAPH 2006 Papers
An alternative for Wang tiles: colored edges versus colored corners
ACM Transactions on Graphics (TOG)
Parallel Poisson disk sampling
ACM SIGGRAPH 2008 papers
Multidimensional adaptive sampling and reconstruction for ray tracing
ACM SIGGRAPH 2008 papers
A meshless hierarchical representation for light transport
ACM SIGGRAPH 2008 papers
Tile-based methods for interactive applications
ACM SIGGRAPH 2008 classes
ACM Transactions on Graphics (TOG)
Frequency analysis and sheared reconstruction for rendering motion blur
ACM SIGGRAPH 2009 papers
Data-parallel rasterization of micropolygons with defocus and motion blur
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Accurate multidimensional Poisson-disk sampling
ACM Transactions on Graphics (TOG)
Multi-class blue noise sampling
ACM SIGGRAPH 2010 papers
Global registration of dynamic range scans for articulated model reconstruction
ACM Transactions on Graphics (TOG)
Farthest-point optimized point sets with maximized minimum distance
Proceedings of the ACM SIGGRAPH Symposium on High Performance Graphics
On filtering the noise from the random parameters in Monte Carlo rendering
ACM Transactions on Graphics (TOG)
A theory of monte carlo visibility sampling
ACM Transactions on Graphics (TOG)
SURE-based optimization for adaptive sampling and reconstruction
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
EGSR'09 Proceedings of the Twentieth Eurographics conference on Rendering
Shadow penumbras for complex objects by depth-dependent filtering of multi-layer depth images
EGWR'99 Proceedings of the 10th Eurographics conference on Rendering
The ImageSwitcher: a proposed system architecture designed to reduce VR lag
EGGH'96 Proceedings of the Eleventh Eurographics conference on Graphics Hardware
Fourier analysis of stochastic sampling strategies for assessing bias and variance in integration
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Line segment sampling with blue-noise properties
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Blue noise sampling with controlled aliasing
ACM Transactions on Graphics (TOG)
5D Covariance tracing for efficient defocus and motion blur
ACM Transactions on Graphics (TOG)
Parallel adaptive sampling and reconstruction using multi-scale and directional analysis
The Visual Computer: International Journal of Computer Graphics
Gap processing for adaptive maximal poisson-disk sampling
ACM Transactions on Graphics (TOG)
A parallel algorithm for improving the maximal property of Poisson disk sampling
Computer-Aided Design
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Nonuniform sampling of images is a useful technique in computer graphics, because a properly designed pattern of samples can make aliasing take the form of high-frequency random noise. In this paper, the technique of nonuniform sampling is extended from two dimensions to include the extra parameter dimensions of distribution ray tracing. A condition for optimality is suggested, and algorithms for approximating optimal sampling are developed. The technique is demonstrated at low sampling densities, so the characteristics of aliasing noise are clearly visible. At supersampling rates, this technique should move noise into frequencies above the passband of the pixel-reconstruction filter.