Stochastic sampling in computer graphics
ACM Transactions on Graphics (TOG)
Generating antialiased images at low sampling densities
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Spectrally optimal sampling for distribution ray tracing
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Hierarchical Poisson disk sampling distributions
Proceedings of the conference on Graphics interface '92
A rapid hierarchical rendering technique for translucent materials
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Antialiasing with Line Samples
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
Wang Tiles for image and texture generation
ACM SIGGRAPH 2003 Papers
Fast hierarchical importance sampling with blue noise properties
ACM SIGGRAPH 2004 Papers
A frequency analysis of light transport
ACM SIGGRAPH 2005 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
A first-order analysis of lighting, shading, and shadows
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2007 papers
Fast Poisson disk sampling in arbitrary dimensions
ACM SIGGRAPH 2007 sketches
Stochastic rasterization using time-continuous triangles
Proceedings of the 22nd ACM SIGGRAPH/EUROGRAPHICS symposium on Graphics hardware
Parallel Poisson disk sampling
ACM SIGGRAPH 2008 papers
Multidimensional adaptive sampling and reconstruction for ray tracing
ACM SIGGRAPH 2008 papers
ACM SIGGRAPH 2008 papers
Fast, realistic lighting and material design using nonlinear cut approximation
ACM SIGGRAPH Asia 2008 papers
ACM Transactions on Graphics (TOG)
Poisson Disk Point Sets by Hierarchical Dart Throwing
RT '07 Proceedings of the 2007 IEEE Symposium on Interactive Ray Tracing
Capacity-constrained point distributions: a variant of Lloyd's method
ACM SIGGRAPH 2009 papers
Frequency analysis and sheared reconstruction for rendering motion blur
ACM SIGGRAPH 2009 papers
Line space gathering for single scattering in large scenes
ACM SIGGRAPH 2010 papers
Multi-class blue noise sampling
ACM SIGGRAPH 2010 papers
Parallel Poisson disk sampling with spectrum analysis on surfaces
ACM SIGGRAPH Asia 2010 papers
Anisotropic blue noise sampling
ACM SIGGRAPH Asia 2010 papers
Spectral sampling of manifolds
ACM SIGGRAPH Asia 2010 papers
A comprehensive theory of volumetric radiance estimation using photon points and beams
ACM Transactions on Graphics (TOG)
Analytical motion blur rasterization with compression
Proceedings of the Conference on High Performance Graphics
Frequency analysis and sheared filtering for shadow light fields of complex occluders
ACM Transactions on Graphics (TOG)
Blue-noise point sampling using kernel density model
ACM SIGGRAPH 2011 papers
Efficient maximal poisson-disk sampling
ACM SIGGRAPH 2011 papers
Differential domain analysis for non-uniform sampling
ACM SIGGRAPH 2011 papers
High-quality spatio-temporal rendering using semi-analytical visibility
ACM SIGGRAPH 2011 papers
Temporal light field reconstruction for rendering distribution effects
ACM SIGGRAPH 2011 papers
Proceedings of the 2011 SIGGRAPH Asia Conference
Virtual ray lights for rendering scenes with participating media
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Point sampling with general noise spectrum
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
A Simple Algorithm for Maximal Poisson-Disk Sampling in High Dimensions
Computer Graphics Forum
Progressive Virtual Beam Lights
Computer Graphics Forum
High-quality curve rendering using line sampled visibility
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Axis-aligned filtering for interactive sampled soft shadows
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Analysis and synthesis of point distributions based on pair correlation
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Ray maps for global illumination
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
High-quality parallel depth-of-field using line samples
EGGH-HPG'12 Proceedings of the Fourth ACM SIGGRAPH / Eurographics conference on High-Performance Graphics
Stratified point sampling of 3D models
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
ACM Transactions on Graphics (TOG)
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Line segment sampling has recently been adopted in many rendering algorithms for better handling of a wide range of effects such as motion blur, defocus blur and scattering media. A question naturally raised is how to generate line segment samples with good properties that can effectively reduce variance and aliasing artifacts observed in the rendering results. This paper studies this problem and presents a frequency analysis of line segment sampling. The analysis shows that the frequency content of a line segment sample is equivalent to the weighted frequency content of a point sample. The weight introduces anisotropy that smoothly changes among point samples, line segment samples and line samples according to the lengths of the samples. Line segment sampling thus makes it possible to achieve a balance between noise (point sampling) and aliasing (line sampling) under the same sampling rate. Based on the analysis, we propose a line segment sampling scheme to preserve blue-noise properties of samples which can significantly reduce noise and aliasing artifacts in reconstruction results. We demonstrate that our sampling scheme improves the quality of depth-of-field rendering, motion blur rendering, and temporal light field reconstruction.