Pattern-based texturing revisited
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Web-based intuitive and effective design of symmetric tiles
MULTIMEDIA '00 Proceedings of the 2000 ACM workshops on Multimedia
Image quilting for texture synthesis and transfer
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Wang Tiles for image and texture generation
ACM SIGGRAPH 2003 Papers
Regular Mesh Construction Algorithms using Regular Handles
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Symmetric tiling of closed surfaces: visualization of regular maps
ACM SIGGRAPH 2009 papers
ACM SIGGRAPH 2009 papers
A wave-based anisotropic quadrangulation method
ACM SIGGRAPH 2010 papers
Editing operations for irregular vertices in triangle meshes
ACM SIGGRAPH Asia 2010 papers
Connectivity editing for quadrilateral meshes
Proceedings of the 2011 SIGGRAPH Asia Conference
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We show that for every surface of positive genus, there exist many quadrilateral manifold meshes that can be texture-mapped with locally translated copies of a single square-texture pattern. This implies, for instance, that every positive-genus surface can be covered seamlessly with any of the 17 plane symmetric wallpaper patterns. We identify sufficient conditions for meshes to be classified as ''quad-pattern-coverable'', and we present several methods to construct such meshes. Moreover, we identify some mesh operations that preserve the quad-pattern-coverability property. For instance, since vertex insertion remeshing, which is the remeshing operation behind Catmull-Clark subdivision, preserves quad-pattern-coverability, it is possible to cover any surface of positive genus with iteratively finer versions of the same texture.