Triangular mesh parameterization with trimmed surfaces

2015 ◽  
Vol 9 (4) ◽  
pp. 303-316 ◽  
Author(s):  
Oscar E. Ruiz ◽  
Daniel Mejia ◽  
Carlos A. Cadavid
Keyword(s):  
Triangular Mesh ◽  
Mesh Parameterization ◽  
Trimmed Surfaces

HIERARCHICAL PARAMETERIZATION OF TRIANGULAR MESH WITH A BOUNDARY POLYGON TRIANGULATION

2010 ◽  
Vol 10 (03) ◽  
pp. 449-466 ◽  
Author(s):  
XIAOLIANG BAI ◽  
SHUSHENG ZHANG
Keyword(s):  
Texture Mapping ◽  
Surface Fitting ◽  
Triangular Mesh ◽  
Mesh Simplification ◽  
Mesh Parameterization ◽  
Multiresolution Representation ◽  
Fast Approach ◽  
Representation Model ◽  
Low Distortion

Parameterizing a 3D triangular mesh is the process of finding an isomorphic planar mesh. It is widely used in graphics, as it is required, for instance, for surface fitting, texture mapping and re-meshing. In this paper, we present a new 3D approach to triangular mesh parameterization, which includes three steps: (1) construct a boundary polygon triangulation by mesh simplification; (2) parameterize the boundary polygon triangulation by first smoothing and then flattening it; (3) parameterize the interior vertices by parameterizing the vertex-split-cells one by one while refining the boundary polygon triangulation to the original one. The fact that all calculations are local makes it a fast approach, and the fact that a series of meshes in a multiresolution representation model could be well parameterized makes it appropriate for hierarchical surface fitting. Experiments show that the approach presented can result in a low distortion parameterization.

Tubular triangular mesh parameterization and applications

2010 ◽  
Vol 21 (2) ◽  
pp. 91-102 ◽  
Author(s):  
Yimin Wang ◽  
Jianmin Zheng
Keyword(s):  
Triangular Mesh ◽  
Mesh Parameterization

From Point Cloud to Triangular Mesh by Growing Neural Gas

2014 ◽  
Vol 24 (3) ◽  
pp. 651-662
Author(s):  
Feng ZENG ◽  
Tong YANG ◽  
Shan YAO
Keyword(s):  
Point Cloud ◽  
Triangular Mesh ◽  
Growing Neural Gas ◽  
Neural Gas

Fast Computing for the Approximate Straightest Path on Triangular Mesh Surfaces

2010 ◽  
Vol 22 (4) ◽  
pp. 599-604
Author(s):  
Yao Jin ◽  
Zhong Li ◽  
Jianfeng Shi ◽  
Zhongcheng Zhou ◽  
Ruifang Pan ◽  
...  
Keyword(s):  
Triangular Mesh

Testing the novel method for angle of repose measurement based on area-weighted average slope of a triangular mesh

2021 ◽  
Vol 387 ◽  
pp. 396-405
Author(s):  
M. Klanfar ◽  
T. Korman ◽  
D. Domitrović ◽  
V. Herceg
Keyword(s):  
Weighted Average ◽  
Triangular Mesh ◽  
Angle Of Repose ◽  
The Novel ◽  
Average Slope ◽  
Novel Method

Triangulation of trimmed surfaces in parametric space

1992 ◽  
Vol 24 (8) ◽  
pp. 437-444 ◽  
Author(s):  
X. Sheng ◽  
B.E. Hirsch
Keyword(s):  
Parametric Space ◽  
Trimmed Surfaces

Research on Triangular Mesh Simplification Algorithm of Virtual Object Model

2012 ◽  
Vol 271-272 ◽  
pp. 1410-1414 ◽  
Author(s):  
Yang Ping Wang ◽  
Jian Wu Dang ◽  
Jin Yu Yang ◽  
Song Wang
Keyword(s):  
Triangular Mesh ◽  
Mesh Simplification ◽  
Virtual Object ◽  
Object Model ◽  
Model Simplification ◽  
Model Quality ◽  
Weight Calculation ◽  
Edge Surface

To improve the model quality of mesh simplification, reduce the model deformation and the lost of the detail characteristics with multiple folding, the paper represents a triangular mesh simplification algorithm based on edge-surface folding. The algorithm introduces curvature characteristics of model vertexes into the weight calculation of effective points, and introduces weight of triangular facets at the same time. The facets with the smallest weight adjacent the candidate edge is shrunk. The experiment results show that the algorithm has provided a higher quality of model simplification and effectively kept the graphic features.

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