Subdivision schemes for the fair discretization of the spherical motion group

DOI10.1016/j.cam.2007.12.004zbMath1156.65019OpenAlexW2137172674MaRDI QIDQ955079

Helmut Pottmann, Georg Nawratil

Publication date: 18 November 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.12.004

zbMATH Keywords

computer graphicsgeometric modelling600-cellelliptic linear congruencefair discretizationrigid body displacementsspherical kinematic mappingspherical motion group

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Differential geometric aspects in kinematics (53A17) Projective analytic geometry (51N15) Line geometries and their generalizations (51M30)

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Generalized penetration depth computation based on kinematical geometry, Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles, Stable subdivision of 4D polytopes

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