Accurate detection of symmetries in 3D shapes

被引：94
|
作者：
Martinet, A [1 ]
Soler, C [1 ]
Holzschuch, N [1 ]
Sillion, FX [1 ]
机构：
[1] INRIA Rhone Alpes, ARTIS, Saint Ismier, France
来源：
ACM TRANSACTIONS ON GRAPHICS | 2006年 / 25卷 / 02期
关键词：
algorithms;
D O I：
10.1145/1138450.1138462
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We propose an automatic method for finding symmetries of 3D shapes, that is, isometric transforms which leave a shape globally unchanged. These symmetries are deterministically found through the use of an intermediate quantity: the generalized moments. By examining the extrema and spherical harmonic coefficients of these moments, we recover the parameters of the symmetries of the shape. The computation for large composite models is made efficient by using this information in an incremental algorithm capable of recovering the symmetries of a whole shape using the symmetries of its subparts. Applications of this work range from coherent remeshing of geometry with respect to the symmetries of a shape to geometric compression, intelligent mesh editing, and automatic instantiation.
引用
收藏
页码：439 / 464
页数：26
相关论文
共 50 条
  • [41] Accurate saliency detection based on depth feature of 3D images
    Haoqian Wang
    Bing Yan
    Xingzheng Wang
    Yongbing Zhang
    Yi Yang
    [J]. Multimedia Tools and Applications, 2018, 77 : 14655 - 14672
  • [42] Tracking-by-Detection of 3D Human Shapes: From Surfaces to Volumes
    Huang, Chun-Hao Paul
    Allain, Benjamin
    Boyer, Edmond
    Franco, Jean-Sebastien
    Tombari, Federico
    Navab, Nassir
    Ilic, Slobodan
    [J]. IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2018, 40 (08) : 1994 - 2008
  • [43] Part Detection for 3D Shapes via Multi-view Rendering
    Song, Youcheng
    Sun, Zhengxing
    Song, Mofei
    Wu, Yunjie
    [J]. ADVANCES IN MULTIMEDIA INFORMATION PROCESSING - PCM 2017, PT I, 2018, 10735 : 619 - 628
  • [44] Asymptotic symmetries in 3D gravity with torsion
    Blagojevic, M
    Vasilic, M
    [J]. PHYSICAL REVIEW D, 2003, 67 (08)
  • [45] On asymptotic symmetries of 3d extended supergravities
    Poojary, Rohan R.
    Suryanarayana, Nemani V.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (02)
  • [46] Bootstrapping 3D fermions with global symmetries
    Luca Iliesiu
    Filip Kos
    David Poland
    Silviu S. Pufu
    David Simmons-Duffin
    [J]. Journal of High Energy Physics, 2018
  • [47] Symmetries of Thirring Models on 3D Lattices
    Wipf, Andreas W.
    Lenz, Julian J.
    [J]. SYMMETRY-BASEL, 2022, 14 (02):
  • [48] On asymptotic symmetries of 3d extended supergravities
    Rohan R. Poojary
    Nemani V. Suryanarayana
    [J]. Journal of High Energy Physics, 2019
  • [49] Detection, classification and estimation of individual shapes in 2D and 3D point clouds
    Su, J.
    Srivastava, A.
    Huffer, F. W.
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2013, 58 : 227 - 241
  • [50] Deep Sliding Shapes for Amodal 3D Object Detection in RGB-D Images
    Song, Shuran
    Xiao, Jianxiong
    [J]. 2016 IEEE CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION (CVPR), 2016, : 808 - 816
12345