Pattern mapping with quad-pattern-coverable quad-meshes

详细信息	查看全文 | 推荐本文 |

• 作者：Shiyu Hu^a ; ^{syhu@cse.tamu.edu} ; Qing Xing^a ; Ergun Akleman^a ; Jianer Chen^a ; Jonathan Gross^b
• 关键词：Modeling
• 刊名：Computers and Graphics
• 出版年：2012
• 期刊代码：36_00978493
• 类别：cp
• 出版时间：August, 2012
• 卷：36
• 期：5
• 页码：455-465
• 文件大小：1520 K

摘要

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 鈥渜uad-pattern-coverable鈥? 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.