Generating antialiased images at low sampling densities
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Generating textures on arbitrary surfaces using reaction-diffusion
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Spot noise texture synthesis for data visualization
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 cellular texture basis function
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Image quilting for texture synthesis and transfer
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Texture Synthesis by Non-Parametric Sampling
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Synthesis of progressively-variant textures on arbitrary surfaces
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2005 Papers
Computational Geometry: Algorithms and Applications
Computational Geometry: Algorithms and Applications
Procedural noise using sparse Gabor convolution
ACM SIGGRAPH 2009 papers
Capacity-constrained point distributions: a variant of Lloyd's method
ACM SIGGRAPH 2009 papers
Differential domain analysis for non-uniform sampling
ACM SIGGRAPH 2011 papers
Partition of unity parametrics: a framework for meta-modeling
The Visual Computer: International Journal of Computer Graphics - CGI'2011 Conference
Partition of unity parametrics for texture synthesis
Proceedings of Graphics Interface 2013
Introduction: Foreword to special section on Graphics Interface
Computers and Graphics
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Partition of unity parametrics (PUPs) are a recent framework designed for geometric modelling. We propose employing PUPs for procedural texture synthesis, taking advantage of the framework's guarantees of high continuity and local support. Using PUPs to interpolate among data values distributed through the plane, the problem of texture synthesis can be approached from the perspective of point placement and attribute assignment; a graph over the points, such as the Delaunay triangulation, allows us to apply attributes or labels to the nodes in a structured way. We present several alternative mechanisms for point distribution and demonstrate how the system is able to produce a variety of distinct classes of texture, including analogs to cellular texture, Perlin noise, and progressively-variant textures. We further describe structured textures obtained by assigning label clusters using queries over the graph, such as breadth-first or depth-first traversal.