Symmetry and Orbit Detection via Lie-Algebra Voting
نویسندگان
چکیده
منابع مشابه
Symmetry and Orbit Detection via Lie-Algebra Voting
In this paper, we formulate an automatic approach to the detection of partial, local, and global symmetries and orbits in arbitrary 3D datasets. We improve upon existing voting-based symmetry detection techniques by leveraging the Lie group structure of geometric transformations. In particular, we introduce a logarithmic mapping that ensures that orbits are mapped to linear subspaces, hence uni...
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2. Analysis. A local frame is constructed for each point pi ∈ P based on local (C(pi)) estimation of normal, principal curvatures (λmin, λmax), and principal curvature directions. 3. Sample pruning. A sample for which λmin = λmax is invariant under rotations around its normal, thus a point pair containing such a sample can not define a unique transformation. We reject this kind of samples by us...
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ژورنال
عنوان ژورنال: Computer Graphics Forum
سال: 2016
ISSN: 0167-7055
DOI: 10.1111/cgf.12978