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    Variational mesh segmentation via quadric surface fitting

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    Type
    Article
    Authors
    Yan, Dongming cc
    Wang, Wen Ping
    Liu, Yang
    Yang, Zhouwang
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Visual Computing Center (VCC)
    Date
    2012-11
    Permanent link to this record
    http://hdl.handle.net/10754/562378
    
    Metadata
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    Abstract
    We 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.
    Citation
    Yan, 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
    Sponsors
    We 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.
    Publisher
    Elsevier BV
    Journal
    Computer-Aided Design
    DOI
    10.1016/j.cad.2012.04.005
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cad.2012.04.005
    Scopus Count
    Collections
    Articles; Visual Computing Center (VCC); Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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