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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

10.1007/bf00896943

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1573-1405

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3D Symmetry Detection and Analysis Using the Pseu

Authors: Amit Bermanis Amir Averbuch Yosi Keller
Publish Date: 2010/05/26
Volume: 90, Issue: 2, Pages: 166-182
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Abstract

Symmetry detection and analysis in 3D images is a fundamental task in a gamut of scientific fields such as computer vision medical imaging and pattern recognition to name a few In this work we present a computational approach to 3D symmetry detection and analysis Our analysis is conducted in the Fourier domain using the pseudopolar Fourier transform The pseudopolar representation enables to efficiently and accurately analyze angular volumetric properties such as rotational symmetries Our algorithm is based on the analysis of the angular correspondence rate of the given volume and its rotated and rotatedinverted replicas in their pseudopolar representations We also derive a novel rigorous analysis of the inherent constraints of 3D symmetries via groupstheory based analysis Thus our algorithm starts by detecting the rotational symmetry group of a given volume and the rigorous analysis results pave the way to detect the rest of the symmetries The complexity of the algorithm is ON 3log N where N×N×N is the volumetric size in each direction This complexity is independent of the number of the detected symmetries We experimentally verified our approach by applying it to synthetic as well as real 3D objects

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  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. Full and Partial Symmetries of Non-rigid Shapes
  7. A Two-Layer Framework for Piecewise Linear Manifold-Based Head Pose Estimation
  8. Learning Discriminative Space–Time Action Parts from Weakly Labelled Videos
  9. Recognizing Fine-Grained and Composite Activities Using Hand-Centric Features and Script Data
  10. 3D Human Pose Tracking Priors using Geodesic Mixture Models
  11. Exemplar-Guided Similarity Learning on Polynomial Kernel Feature Map for Person Re-identification
  12. Ethnicity- and Gender-based Subject Retrieval Using 3-D Face-Recognition Techniques
  13. A Variational Approach to Video Registration with Subspace Constraints
  14. The Fisher-Rao Metric for Projective Transformations of the Line
  15. Planar Motion Estimation and Linear Ground Plane Rectification using an Uncalibrated Generic Camera
  16. Guest Editorial: Human Activity Understanding from 2D and 3D Data
  17. Fast and Stable Polynomial Equation Solving and Its Application to Computer Vision
  18. Robust Pose Recognition of the Obscured Human Body
  19. Teichmüller Shape Descriptor and Its Application to Alzheimer’s Disease Study
  20. Parsing Images into Regions, Curves, and Curve Groups
  21. Using Biologically Inspired Features for Face Processing
  22. Two-View Motion Segmentation with Model Selection and Outlier Removal by RANSAC-Enhanced Dirichlet Process Mixture Models
  23. Information-Theoretic Active Polygons for Unsupervised Texture Segmentation
  24. Virtual Volumetric Graphics on Commodity Displays Using 3D Viewer Tracking
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