An adaptive algorithm for the approximate calculation of multiple integrals
ACM Transactions on Mathematical Software (TOMS)
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
A New Way to Represent the Relative Position between Areal Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Modeling Visual Patterns by Integrating Descriptive and Generative Methods
International Journal of Computer Vision
Texture optimization for example-based synthesis
ACM SIGGRAPH 2005 Papers
Parallel Poisson disk sampling
ACM SIGGRAPH 2008 papers
Appearance-guided synthesis of element arrangements by example
Proceedings of the 7th International Symposium on Non-Photorealistic Animation and Rendering
Fuzzy spatial relationships for image processing and interpretation: a review
Image and Vision Computing
Anisotropic blue noise sampling
ACM SIGGRAPH Asia 2010 papers
Sample-Based Synthesis of Illustrative Patterns
PACIFIC_GRAPHICS '10 Proceedings of the 2010 18th Pacific Conference on Computer Graphics and Applications
Blue-noise point sampling using kernel density model
ACM SIGGRAPH 2011 papers
ACM SIGGRAPH 2011 papers
Point sampling with general noise spectrum
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
Centroidal Voronoi Tessellation of Line Segments and Graphs
Computer Graphics Forum
Analysis and synthesis of point distributions based on pair correlation
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
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We present a novel shape-aware method for synthesizing 2D and 3D discrete element textures consisting of collections of distinct vector graphics objects. Extending the long-proven point process framework, we propose a shape process, a novel stochastic model based on spatial measurements that fully take into account the geometry of the elements. We demonstrate that our approach is well-suited for discrete texture synthesis by example. Our model enables for both robust statistical parameter estimation and reliable output generation by Monte Carlo sampling. Our numerous experiments show that contrary to current state-of-the-art techniques, our algorithm manages to capture anisotropic element distributions and systematically prevents undesirable collisions between objects.