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Improved non-uniform subdivision scheme with modified Eigen-polyhedron

In this study, a systematic refinement method was developed for non-uniform Catmull-Clark subdivision surfaces to improve the quality of the surface at extraordinary points (EPs). The developed method modifies the eigenpolyhedron by designing the angles between two adjacent edges that contain an EP....

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Detalles Bibliográficos
Autores principales: Zhang, Jingjing, Tian, Yufeng, Li, Xin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Nature Singapore 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9276890/
https://www.ncbi.nlm.nih.gov/pubmed/35819659
http://dx.doi.org/10.1186/s42492-022-00115-2
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author Zhang, Jingjing
Tian, Yufeng
Li, Xin
author_facet Zhang, Jingjing
Tian, Yufeng
Li, Xin
author_sort Zhang, Jingjing
collection PubMed
description In this study, a systematic refinement method was developed for non-uniform Catmull-Clark subdivision surfaces to improve the quality of the surface at extraordinary points (EPs). The developed method modifies the eigenpolyhedron by designing the angles between two adjacent edges that contain an EP. Refinement rules are then formulated with the help of the modified eigenpolyhedron. Numerical experiments show that the method significantly improves the performance of the subdivision surface for non-uniform parameterization.
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spelling pubmed-92768902022-07-14 Improved non-uniform subdivision scheme with modified Eigen-polyhedron Zhang, Jingjing Tian, Yufeng Li, Xin Vis Comput Ind Biomed Art Original Article In this study, a systematic refinement method was developed for non-uniform Catmull-Clark subdivision surfaces to improve the quality of the surface at extraordinary points (EPs). The developed method modifies the eigenpolyhedron by designing the angles between two adjacent edges that contain an EP. Refinement rules are then formulated with the help of the modified eigenpolyhedron. Numerical experiments show that the method significantly improves the performance of the subdivision surface for non-uniform parameterization. Springer Nature Singapore 2022-07-11 /pmc/articles/PMC9276890/ /pubmed/35819659 http://dx.doi.org/10.1186/s42492-022-00115-2 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Article
Zhang, Jingjing
Tian, Yufeng
Li, Xin
Improved non-uniform subdivision scheme with modified Eigen-polyhedron
title Improved non-uniform subdivision scheme with modified Eigen-polyhedron
title_full Improved non-uniform subdivision scheme with modified Eigen-polyhedron
title_fullStr Improved non-uniform subdivision scheme with modified Eigen-polyhedron
title_full_unstemmed Improved non-uniform subdivision scheme with modified Eigen-polyhedron
title_short Improved non-uniform subdivision scheme with modified Eigen-polyhedron
title_sort improved non-uniform subdivision scheme with modified eigen-polyhedron
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9276890/
https://www.ncbi.nlm.nih.gov/pubmed/35819659
http://dx.doi.org/10.1186/s42492-022-00115-2
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