Automatic 3d free form shape matching using the graduated assignment algorithm
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[65] casts registration as a continuous optimization problem that handles both rigid transformation and correspondence determination simultaneously. It uses CPC, and formulates a regularization term based on entropy. This term can be interpreted as equalizing the importances of point matches, forcing them to the same distance and thus causing the surfaces to run parallel, rather than intersecting.
“Equalization: [65] casts registration as a continuous optimization problem that handles both rigid transformation and correspondence determination simultaneously.It uses CPC, and formulates a regularization term based on entropy:i j M ij log M ij where M is the matching probability matrix of all correspondences.When all point matches are equally likely, the entropy reaches a maximum.This term can”
From Registration of 3D Point Clouds and Meshes: A Survey from Rigid to Nonrigid (2013) · cites this paper as [59]
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References 38 · Cited by 37
- Authors
- Liu, Y.
- Affiliations
- Aberystwyth University (GB)
- Corresponding author
- Liu, Yonghuai
- ORCID
- Liu, Yonghuai
- Venue
- Pattern Recognition
- Publisher
- Elsevier BV
- Published
- 2005-10
- Volume
- 38
- Issue
- 10
- Pages
- 1615-1631
- ISSN
- 0031-3203 (ISSN-L)
- OpenAlex
- W2149637533
- Cited by
- 37
- References
- 38
- Citations by year
- 2021: 2 · 2020: 1 · 2017: 2 · 2016: 1 · 2015: 2 · 2014: 4 · 2013: 2 · 2012: 5
- FWCI
- 2.27
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Pattern Recognition (publishedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › 3D Shape Modeling and Analysis
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Vision and Imaging
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Image and Video Retrieval Techniques
- Keywords
- k-d tree, occlusion handling, slack variables, camera motion estimation, quaternions, weighted least squares, point matching
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