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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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Publisher

Springer US

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DOI

10.1007/s12540-010-0412-1

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ISSN

1573-1405

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Hierarchical Shape Segmentation and Registration v

Authors: Martin Reuter
Publish Date: 2009/08/14
Volume: 89, Issue: 2-3, Pages: 287-308
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Abstract

This work introduces a method to hierarchically segment articulated shapes into meaningful parts and to register these parts across populations of nearisometric shapes eg head arms legs and fingers of humans in different body postures The method exploits the isometry invariance of eigenfunctions of the LaplaceBeltrami operator and uses topological features level sets at important saddles for the segmentation Concepts from persistent homology are employed for a hierarchical representation for the elimination of topological noise and for the comparison of eigenfunctions The obtained parts can be registered via their spectral embedding across a population of near isometric shapes This work also presents the highly accurate computation of eigenfunctions and eigenvalues with cubic finite elements on triangle meshes and discusses the construction of persistence diagrams from the MorseSmale complex as well as the relation to size functions

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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. Geometric Image Parsing in Man-Made Environments
  4. On Taxonomies for Multi-class Image Categorization
  5. Full and Partial Symmetries of Non-rigid Shapes
  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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