Rotational symmetry detection in 3D using reflectional symmetry candidates and quaternion-based rotation parameterization

DOI10.1016/j.cagd.2022.102138zbMath1503.65044OpenAlexW4292551392WikidataQ114202254 ScholiaQ114202254MaRDI QIDQ2082604

Miroslav Lávička, Lukáš Hruda, Ivana Kolingerová, Martin Manak

Publication date: 4 October 2022

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2022.102138

zbMATH Keywords

rotationrotational symmetryquaternionsymmetry detectionrotation parameterization

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (1)

Computing symmetries of implicit algebraic surfaces

Uses Software

• L-BFGS
• Metro
• MeshLab
• Thingi10K

Cites Work

• On the limited memory BFGS method for large scale optimization
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Geometry and convergence analysis of algorithms for registration of 3D shapes
• Steepest descent preconditioning for nonlinear GMRES optimization
• Rethinking Quaternions
• Numerical Optimization
• Relating shapes via geometric symmetries and regularities

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