KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Visual Computing Center (VCC)
Permanent link to this recordhttp://hdl.handle.net/10754/562378
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AbstractWe present a new variational method for mesh segmentation by fitting quadric surfaces. Each component of the resulting segmentation is represented by a general quadric surface (including plane as a special case). A novel energy function is defined to evaluate the quality of the segmentation, which combines both L2 and L2 ,1 metrics from a triangle to a quadric surface. The Lloyd iteration is used to minimize the energy function, which repeatedly interleaves between mesh partition and quadric surface fitting. We also integrate feature-based and simplification-based techniques in the segmentation framework, which greatly improve the performance. The advantages of our algorithm are demonstrated by comparing with the state-of-the-art methods. © 2012 Elsevier Ltd. All rights reserved.
CitationYan, D.-M., Wang, W., Liu, Y., & Yang, Z. (2012). Variational mesh segmentation via quadric surface fitting. Computer-Aided Design, 44(11), 1072–1082. doi:10.1016/j.cad.2012.04.005
SponsorsWe would like to thank the reviewers for their detailed comments and suggestions which greatly improved the manuscript. We also thank Xiaohong Jia and Yong-Liang Yang for proofreading. This work is partially supported by the Research Grant Council of Hong Kong (718209 and 718010), NSFC (11171322), and ANR/NSFC (60625202, 60911130368) Program.