Stochastic sampling in computer graphics
ACM Transactions on Graphics (TOG)
Digital halftoning
Algorithms for solid noise synthesis
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Hierarchical Poisson disk sampling distributions
Proceedings of the conference on Graphics interface '92
Realistic modeling and rendering of plant ecosystems
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Interactive geometry remeshing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Fast hierarchical importance sampling with blue noise properties
ACM SIGGRAPH 2004 Papers
A vortex particle method for smoke, water and explosions
ACM SIGGRAPH 2005 Papers
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
Parallel Poisson disk sampling
ACM SIGGRAPH 2008 papers
Wavelet turbulence for fluid simulation
ACM SIGGRAPH 2008 papers
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
Synthetic turbulence using artificial boundary layers
ACM SIGGRAPH Asia 2009 papers
Aggregate dynamics for dense crowd simulation
ACM SIGGRAPH Asia 2009 papers
Accurate multidimensional Poisson-disk sampling
ACM Transactions on Graphics (TOG)
Multi-class blue noise sampling
ACM SIGGRAPH 2010 papers
Anisotropic blue noise sampling
ACM SIGGRAPH Asia 2010 papers
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
ACM SIGGRAPH 2011 papers
Farthest-point optimized point sets with maximized minimum distance
Proceedings of the ACM SIGGRAPH Symposium on High Performance Graphics
Least squares quantization in PCM
IEEE Transactions on Information Theory
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
Towards effective evaluation of geometric texture synthesis algorithms
Proceedings of the Symposium on Non-Photorealistic Animation and Rendering
Blue noise sampling with controlled aliasing
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG)
Interactive by-example design of artistic packing layouts
ACM Transactions on Graphics (TOG)
A shape-aware model for discrete texture synthesis
EGSR '13 Proceedings of the Eurographics Symposium on Rendering
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Analyzing and synthesizing point distributions are of central importance for a wide range of problems in computer graphics. Existing synthesis algorithms can only generate white or blue-noise distributions with characteristics dictated by the underlying processes used, and analysis tools have not been focused on exploring relations among distributions. We propose a unified analysis and general synthesis algorithms for point distributions. We employ the pair correlation function as the basis of our methods and design synthesis algorithms that can generate distributions with given target characteristics, possibly extracted from an example point set, and introduce a unified characterization of distributions by mapping them to a space implied by pair correlations. The algorithms accept example and output point sets of different sizes and dimensions, are applicable to multi-class distributions and non-Euclidean domains, simple to implement and run in O(n) time. We illustrate applications of our method to real world distributions.