Iterative Method for Edge Length Equalization
João Paulo Peçanha,J. L. Souza Filho,Marcelo Bernardes Vieira,Marcelo Lobosco,Sócrates O. Dantas +4 more
- 01 Jan 2013
- Vol. 18, pp 481-490
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TL;DR: The proposed algorithm runs iteratively, automatically adjusting the necessary amount of vertices, and applies a global relaxation process using a variation of Laplace-Beltrami discrete operator, which results in a trivalent, mostly hexagonal mesh, suitable for several applications.
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Abstract: This paper presents a method for triangular surface remeshing to obtain new faces whose edge lengths are as close as possible to a target value m. The process uses as input a 2-manifold mesh with arbitrary geometry and topology. The proposed algorithm runs iteratively, automatically adjusting the necessary amount of vertices, and applies a global relaxation process using a variation of Laplace-Beltrami discrete operator. We introduce geometry constraints in order to preserve salient features of the original model. The method results on a grid with edge lengths near to m with low standard deviation, i.e. the vertices are uniformly distributed over the original surface. The dual space of the final triangular surface results in a trivalent, mostly hexagonal mesh, suitable for several applications.
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Citations
Iterative Remeshing for Edge Length Interval Constraining
João Vitor De Sá Hauck,Ramon Nogueira Da Silva,Marcelo Bernardes Vieira,Rodrigo Luis de Souza da Silva +3 more
- 30 Jun 2014
TL;DR: A new approach for edge length equalization, with explicit constraints definition, lower global geometry losses and lower memory cost if compared to previous works is presented.
1
•Proceedings Article
Constrained Texture Mapping
Bruno Levy
- 01 Jan 2000
TL;DR: This paper introduces a new optimization-based method for parameterizing polygonal meshes with minimum deformations, while enabling the user to interactively define and edit a set of constraints.
1
•Journal Article
Adaptive Remeshing for Edge Length Interval Constraining.
TL;DR: A new approach for edge length equalization, with explicit constraints definition, higher computational performance and lower global geometry losses if compared to previous works is presented.
As-equilateral-as-possible surface remeshing
Jiang Du,Yao Jin,Ruofeng Tong +2 more
TL;DR: This paper presents a practical approach to isotropic surface remeshing of triangular meshes in an as-equilateral-as-possible (AEAP) manner, and the remeshed results generate more well-shaped triangles and preserve the features of the original surface.
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