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Spectral Partial Shape Matching.pdf

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Preview of Spectral Partial Shape Matching
🔗 Source: cvg.cit.tum.de
📊 Size: 11.32 MB
📄 Pages: 12 pages
⬇️ Downloads: 42

Summary

presents an efficient method for calculating partial dense intrinsic correspondence between deformable 3D shapes, entirely in the spectral domain. Key aspects include:

- Methodology: The technique uses the partial functional maps formalism and joint approximate diagonalization (JAD) of Laplace-Beltrami operators, with a modified coupling term to construct quasi-harmonic bases localized on corresponding parts.
- Advantages: This approach avoids explicit computation of unknown parts, allowing constant complexity calculations independent of the number of shape vertices.
- Applications: The method is evaluated on standard non-rigid correspondence benchmarks, demonstrating state-of-the-art performance in settings with partiality and topological noise.
- Related Work: The paper discusses classical non-rigid correspondence methods, partial correspondence approaches, and functional maps, highlighting the limitations of previous works and the novelty of their method.
- Goal: The main objective is to address challenging settings involving real data acquisition, which often combine partiality, clutter, and topological noise.

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Description

We propose an efficient procedure for calculating partial dense intrinsic correspondence between deformable shapes in the spectral domain. Our technique relies on partial functional maps and joint approximate diagonalization of Laplace-Beltrami operators. This enables matching non-isometric shapes.

Technical Information

  • File Format: PDF
  • File Size: 11.32 MB
  • Pages: 12
  • Language: EN
  • Total Downloads: 42
  • Last Updated: 2 weeks ago

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