Testing congruence and symmetry for general 3-dimensional objects.

DOI10.1016/j.comgeo.2003.07.002zbMath1039.65017OpenAlexW2005741374MaRDI QIDQ1421026

Christian Knauer, Peter Brass

Publication date: 23 January 2004

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.comgeo.2003.07.002

zbMATH Keywords

symmetryalgorithmgeometric objectsBézier curvescomputational geometrytensor product surfacescongruences and symmetry testingthree dimensional congruence

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (11)

Approximate symmetries of perturbed planar discrete curves ⋮ Symmetry detection of rational space curves from their curvature and torsion ⋮ Symmetries of discrete curves and point clouds via trigonometric interpolation ⋮ Detecting symmetries of rational plane and space curves ⋮ Involutions of polynomially parametrized surfaces ⋮ Projective and affine symmetries and equivalences of rational curves in arbitrary dimension ⋮ Polynomial-Time Algorithms for Continuous Metrics on Atomic Clouds of Unordered Points ⋮ Approximate symmetries of planar algebraic curves with inexact input ⋮ Computing projective equivalences of special algebraic varieties ⋮ A new method to detect projective equivalences and symmetries of rational \(3 D\) curves ⋮ Detecting symmetries in polynomial Bézier curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An n log n algorithm for determining the congruity of polyhedra
• Congruence, similarity, and symmetries of geometric objects
• Detection of rotational and involutional symmetries and congruity of polyhedra
• An optimal algorithm for geometrical congruence

This page was built for publication: Testing congruence and symmetry for general 3-dimensional objects.