Spherical harmonics for surface parametrisation and remeshing

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

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: Oct 20, 2016
• Journal: Mathematical Problems in Engineering
• Print ISSN: 1024-123X
• Electronic ISSN: 1563-5147
• Publisher: Hindawi
• 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.
• Contract Date: Oct 20, 2016