Parameterization of Quadrilateral Meshes

Authors:
Li Liu;Caiming Zhang;Frank Cheng
Affiliations:
School of Computer Science and Technology, Shandong University, Jinan, China;School of Computer Science and Technology, Shandong University, Jinan, China and Department of Computer Science and Technology, Shandong Economic University, Jinan, China;Department of Computer Science, College of Engineering, University of Kentucky, America
Venue:
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Year:
2007

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Abstract

Low-distortion parameterization of 3D meshes is a fundamental problem in computer graphics. Several widely used approaches have been presented for triangular meshes. But no direct parameterization techniques are available for quadrilateral meshes yet. In this paper, we present a parameterization technique for non-closed quadrilateral meshes based on mesh simplification. The parameterization is done through a simplify-project-embed process, and minimizes both the local and global distortion of the quadrilateral meshes. The new algorithm is very suitable for computer graphics applications that require parameterization with low geometric distortion.