Texture mapping on surfaces of arbitrary topology using norm preserving-based optimization

Shuhua Lai, Fuhua Cheng

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


A simple and yet highly efficient, high-quality texture mapping method for surfaces of arbitrary topology is presented. The new method projects the given surface from the 3D object space into the 2D texture space to identify the 2D texture structure that will be used to texture the surface. The object space to texture space projection is optimized to ensure minimum distortion of the texture mapping process. The optimization is achieved through a commonly used norm preserving minimization process on edges of the surface. The main difference here is, by using an initial value approach, the optimization problem can be set up as a quadratic programming problem and, consequently, solved by a linear least squares method. Three methods to choose a good initial value are presented. Test cases show that the new method works well on surfaces of arbitrary topology, with the exception of surfaces with exceptionally abnormal curvature distribution. Other advantages of the new method include uniformity and seamlessness of the texture mapping process. The new method is suitable for applications that do not require precise texture mapping results but demand highly efficient mapping process such as computer animation or video games.

Original languageEnglish
Pages (from-to)783-790
Number of pages8
JournalVisual Computer
Issue number8-10
StatePublished - Sep 2005


  • Optimization
  • Realistic rendering
  • Texture mapping

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition
  • Computer Graphics and Computer-Aided Design


Dive into the research topics of 'Texture mapping on surfaces of arbitrary topology using norm preserving-based optimization'. Together they form a unique fingerprint.

Cite this