Spherical harmonics for surface parametrisation and remeshing
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...
| Main Authors: | , , , |
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| Format: | Article |
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Hindawi Publishing Corporation
2015
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| Online Access: | https://eprints.nottingham.ac.uk/37741/ |
| _version_ | 1848795524470145024 |
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| author | Nortje, Caitlin R. Ward, Wil O.C. Neuman, Bartosz P. Bai, Li |
| author_facet | Nortje, Caitlin R. Ward, Wil O.C. Neuman, Bartosz P. Bai, Li |
| author_sort | Nortje, Caitlin R. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:33:27Z |
| format | Article |
| id | nottingham-37741 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:33:27Z |
| publishDate | 2015 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-377412020-05-04T17:23:54Z https://eprints.nottingham.ac.uk/37741/ Spherical harmonics for surface parametrisation and remeshing Nortje, Caitlin R. Ward, Wil O.C. Neuman, Bartosz P. Bai, Li 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. Hindawi Publishing Corporation 2015-11-09 Article PeerReviewed Nortje, Caitlin R., Ward, Wil O.C., 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 https://www.hindawi.com/journals/mpe/2015/582870/ doi:10.1155/2015/582870 doi:10.1155/2015/582870 |
| spellingShingle | Nortje, Caitlin R. Ward, Wil O.C. Neuman, Bartosz P. Bai, Li Spherical harmonics for surface parametrisation and remeshing |
| title | Spherical harmonics for surface parametrisation and remeshing |
| title_full | Spherical harmonics for surface parametrisation and remeshing |
| title_fullStr | Spherical harmonics for surface parametrisation and remeshing |
| title_full_unstemmed | Spherical harmonics for surface parametrisation and remeshing |
| title_short | Spherical harmonics for surface parametrisation and remeshing |
| title_sort | spherical harmonics for surface parametrisation and remeshing |
| url | https://eprints.nottingham.ac.uk/37741/ https://eprints.nottingham.ac.uk/37741/ https://eprints.nottingham.ac.uk/37741/ |