Spherical harmonics for surface parametrisation and remeshing

Nortje, Caitlin R. and Ward, Wil O.C. and Neuman, Bartosz P. and Bai, Li (2015) Spherical harmonics for surface parametrisation and remeshing. Mathematical Problems in Engineering, 2015 . 82870/1-82870/11. ISSN 1563-5147

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Abstract

This paper proposes a novel method for parametrisation and remeshing incomplete and irregular polygonal meshes. Spherical harmonics basis functions are used for parametrisation. This involves least squares fitting of spherical harmonics basis functions to the surface mesh. Tikhonov regularisation is then used to improve the parametrisation before remeshing the surface. Experiments show that the proposed techniques are effective for parametrising and remeshing polygonal meshes.

Item Type: Article
Additional Information: Copyright © 2015 Caitlin R. Nortje et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Computer Science
Identification Number: 10.1155/2015/582870
Depositing User: Ward, Wil
Date Deposited: 20 Oct 2016 12:58
Last Modified: 13 Oct 2017 20:30
URI: http://eprints.nottingham.ac.uk/id/eprint/37741

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