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Spherical harmonics for surface parametrisation and remeshing

Nortje, Caitlin R.; Ward, Wil O.C.; Neuman, Bartosz P.; Bai, Li

Authors

Caitlin R. Nortje

Wil O.C. Ward

Bartosz P. Neuman

Li Bai



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.

Citation

Nortje, C. R., Ward, W. O., Neuman, B. P., & Bai, L. (in press). Spherical harmonics for surface parametrisation and remeshing. Mathematical Problems in Engineering, 2015, Article 82870. https://doi.org/10.1155/2015/582870

Journal Article Type Article
Acceptance Date Nov 9, 2015
Online Publication Date Nov 9, 2015
Deposit Date Oct 20, 2016
Publicly Available Date Mar 29, 2024
Journal Mathematical Problems in Engineering
Print ISSN 1024-123X
Electronic ISSN 1563-5147
Publisher Hindawi Publishing Corporation
Peer Reviewed Peer Reviewed
Volume 2015
Article Number 82870
DOI https://doi.org/10.1155/2015/582870
Public URL https://nottingham-repository.worktribe.com/output/767267
Publisher URL https://www.hindawi.com/journals/mpe/2015/582870/
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.

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