Pattern mapping with quad-pattern-coverable quad-meshes Academic Article uri icon

abstract

  • 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. 2012 Elsevier Ltd. All rights reserved.

published proceedings

  • COMPUTERS & GRAPHICS-UK

author list (cited authors)

  • Hu, S., Xing, Q., Akleman, E., Chen, J., & Gross, J.

citation count

  • 4

complete list of authors

  • Hu, Shiyu||Xing, Qing||Akleman, Ergun||Chen, Jianer||Gross, Jonathan

publication date

  • August 2012