Partial shape matching of 3D models based on the Laplace-Beltrami operator eigenfunction

被引:5
|
作者
Jiang, Lijun [1 ]
Zhang, Xutang [1 ]
Zhang, Guangyu [1 ]
机构
[1] Jiang, Lijun
[2] Zhang, Xutang
[3] Zhang, Guangyu
关键词
Laplace transforms - Clustering algorithms - Combinatorial optimization;
D O I
10.4304/jmm.8.6.655-661
中图分类号
学科分类号
摘要
The comparison and matching based on partial description of the 3D model is the current focus of study in the shape analysis. The partial description based on the eigenfunction of the Laplace-Beltrami operator is an important way. A large number of eigenfunction values of any point on the surface of the model form a eigenvector; based on this vector, K-means clustering method will be used to query the model which is divided into several regions; for each region, based on the Hungarian method which is used in the solving of optimal assignment problem, search a corresponding region in the compared model, so that achieving the partial matching between the two models. © 2013 Academy Publisher.
引用
收藏
页码:655 / 661
相关论文
共 50 条
  • [1] Laplace-Beltrami Eigenfunctions for 3D Shape Matching
    Isaacs, Jason C.
    DETECTION AND SENSING OF MINES, EXPLOSIVE OBJECTS, AND OBSCURED TARGETS XVI, 2011, 8017
  • [2] Mandible shape modeling using the second eigenfunction of the Laplace-Beltrami operator
    Seo, Seongho
    Chung, Moo K.
    Whyms, Brian J.
    Vorperian, Houri K.
    MEDICAL IMAGING 2011: IMAGE PROCESSING, 2011, 7962
  • [3] On the eigenfunction expansion of the Laplace-Beltrami operator in hyperbolic space
    Guseinov, Gusein Sh.
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2015, 60 (10) : 1309 - 1326
  • [4] Estimating the Laplace-Beltrami Operator by Restricting 3D Functions
    Chuang, Ming
    Luo, Linjie
    Brown, Benedict J.
    Rusinkiewicz, Szymon
    Kazhdan, Michael
    COMPUTER GRAPHICS FORUM, 2009, 28 (05) : 1475 - 1484
  • [5] Shape sensitivity for the Laplace-Beltrami operator with singularities
    Ferchichi, J
    Zolésio, JP
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 196 (02) : 340 - 384
  • [6] ENTROPIC HASHING OF 3D OBJECTS USING LAPLACE-BELTRAMI OPERATOR
    Ghaderpanah, Mohammadreza
    Abbas, Abdullah
    Ben Hamza, A.
    2008 15TH IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOLS 1-5, 2008, : 3104 - 3107
  • [7] Metrics of the Laplace-Beltrami Eigenfunctions for 2D Shape Matching
    Isaacs, Jason C.
    Roberts, Rodney G.
    2011 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC), 2011, : 3347 - 3352
  • [8] LAPLACE-BELTRAMI NODAL COUNTS: A NEW SIGNATURE FOR 3D SHAPE ANALYSIS
    Lai, Rongjie
    Shi, Yonggang
    Dinov, Ivo
    Chan, Tony F.
    Toga, Arthur W.
    2009 IEEE INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING: FROM NANO TO MACRO, VOLS 1 AND 2, 2009, : 694 - +
  • [9] On the Weak Localization Principle of the Eigenfunction Expansions of the Laplace-Beltrami Operator by Riesz Method
    Ahmedov, Anvarjon
    Rasedee, Ahmad Fadly Nurullah
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2015, 9 (02): : 337 - 348