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Green Image
Issue No. 10 - October (2011 vol. 17)
ISSN: 1077-2626
pp: 1531-1544
Huai-Yu Wu , Peking University, Beijing and Chinese Academy of Sciences, Beijing
Chunhong Pan , Chinese Academy of Sciences, Beijing
Hongbin Zha , Peking University, Beijing
Qing Yang , Chinese Academy of Sciences, Beijing
Songde Ma , Chinese Academy of Sciences, Beijing
In this paper, we propose a novel partwise framework for cross-parameterization between 3D mesh models. Unlike most existing methods that use regular parameterization domains, our framework uses nonregular approximation domains to build the cross-parameterization. Once the nonregular approximation domains are constructed for 3D models, different (and complex) input shapes are transformed into similar (and simple) shapes, thus facilitating the cross-parameterization process. Specifically, a novel nonregular domain, the convex hull, is adopted to build shape correspondence. We first construct convex hulls for each part of the segmented model, and then adopt our convex-hull cross-parameterization method to generate compatible meshes. Our method exploits properties of the convex hull, e.g., good approximation ability and linear convex representation for interior vertices. After building an initial cross-parameterization via convex-hull domains, we use compatible remeshing algorithms to achieve an accurate approximation of the target geometry and to ensure a complete surface matching. Experimental results show that the compatible meshes constructed are well suited for shape blending and other geometric applications.
Cross-parameterization, nonregular approximation domains, convex hull, critical points, compatible remeshing, sketch-based segmentation.

H. Wu, S. Ma, H. Zha, C. Pan and Q. Yang, "Partwise Cross-Parameterization via Nonregular Convex Hull Domains," in IEEE Transactions on Visualization & Computer Graphics, vol. 17, no. , pp. 1531-1544, 2010.
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