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Title of Journal: Int J Comput Vis

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Abbravation: International Journal of Computer Vision

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Springer US

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DOI

10.1016/j.aim.2012.08.011

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1573-1405

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Full and Partial Symmetries of Nonrigid Shapes

Authors: Dan Raviv Alexander M Bronstein Michael M Bronstein Ron Kimmel
Publish Date: 2010/02/12
Volume: 89, Issue: 1, Pages: 18-39
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Abstract

Symmetry and selfsimilarity are the cornerstone of Nature exhibiting themselves through the shapes of natural creations and ubiquitous laws of physics Since many natural objects are symmetric the absence of symmetry can often be an indication of some anomaly or abnormal behavior Therefore detection of asymmetries is important in numerous practical applications including crystallography medical imaging and face recognition to mention a few Conversely the assumption of underlying shape symmetry can facilitate solutions to many problems in shape reconstruction and analysis Traditionally symmetries are described as extrinsic geometric properties of the shape While being adequate for rigid shapes such a description is inappropriate for nonrigid ones extrinsic symmetry can be broken as a result of shape deformations while its intrinsic symmetry is preserved In this paper we present a generalization of symmetries for nonrigid shapes and a numerical framework for their analysis addressing the problems of full and partial exact and approximate symmetry detection and classification

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Other Papers In This Journal:
  1. Growing Regression Tree Forests by Classification for Continuous Object Pose Estimation
  2. Objects, Actions, Places
  3. Hierarchical Shape Segmentation and Registration via Topological Features of Laplace-Beltrami Eigenfunctions
  4. Geometric Image Parsing in Man-Made Environments
  5. On Taxonomies for Multi-class Image Categorization
  6. A Two-Layer Framework for Piecewise Linear Manifold-Based Head Pose Estimation
  7. Learning Discriminative Space–Time Action Parts from Weakly Labelled Videos
  8. Recognizing Fine-Grained and Composite Activities Using Hand-Centric Features and Script Data
  9. 3D Human Pose Tracking Priors using Geodesic Mixture Models
  10. Exemplar-Guided Similarity Learning on Polynomial Kernel Feature Map for Person Re-identification
  11. Ethnicity- and Gender-based Subject Retrieval Using 3-D Face-Recognition Techniques
  12. A Variational Approach to Video Registration with Subspace Constraints
  13. The Fisher-Rao Metric for Projective Transformations of the Line
  14. Planar Motion Estimation and Linear Ground Plane Rectification using an Uncalibrated Generic Camera
  15. Guest Editorial: Human Activity Understanding from 2D and 3D Data
  16. Fast and Stable Polynomial Equation Solving and Its Application to Computer Vision
  17. Robust Pose Recognition of the Obscured Human Body
  18. Teichmüller Shape Descriptor and Its Application to Alzheimer’s Disease Study
  19. Parsing Images into Regions, Curves, and Curve Groups
  20. Using Biologically Inspired Features for Face Processing
  21. Two-View Motion Segmentation with Model Selection and Outlier Removal by RANSAC-Enhanced Dirichlet Process Mixture Models
  22. Information-Theoretic Active Polygons for Unsupervised Texture Segmentation
  23. Virtual Volumetric Graphics on Commodity Displays Using 3D Viewer Tracking
  24. 3-D Symmetry Detection and Analysis Using the Pseudo-polar Fourier Transform
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