Symmetry group detection of point clouds in 3D via a decomposition method
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Publication:6615388
DOI10.1016/J.CAGD.2024.102376zbMATH Open1548.65061MaRDI QIDQ6615388
Michal Bizzarri, Miroslav Lávička, Jan Vršek, Lukáš Hruda
Publication date: 8 October 2024
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
decomposition methodobject recognitionsymmetry analysisshape completionpoint cloudsgeometric transformations
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)
Cites Work
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- Involutions of polynomially parametrized surfaces
- Projective and affine symmetries and equivalences of rational curves in arbitrary dimension
- Projective and affine symmetries and equivalences of rational and polynomial surfaces
- Projective isomorphisms between rational surfaces
- Rotational symmetry detection in 3D using reflectional symmetry candidates and quaternion-based rotation parameterization
- Approximate symmetries of perturbed planar discrete curves
- Approximate symmetries of planar algebraic curves with inexact input
- Computing projective equivalences of special algebraic varieties
- Symmetry detection of rational space curves from their curvature and torsion
- Symmetries and similarities of planar algebraic curves using harmonic polynomials
- Symmetries of discrete curves and point clouds via trigonometric interpolation
- Computing symmetries of implicit algebraic surfaces
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