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Novel method of boundary-free mesh parameterization
- Source :
- PLoS ONE, Vol 14, Iss 6, p e0217537 (2019), PLoS ONE
- Publication Year :
- 2019
- Publisher :
- Public Library of Science (PLoS), 2019.
-
Abstract
- Unless the targeted mesh is developable, metric distortion is inevitable during the process of surface mesh parameterization, thus one important objective of all involved parametric studies is to reduce the metric distortion. In order to further reduce area and angle distortion, a novel method of boundary-free mesh parameterization is presented in the paper. Firstly, the initial boundary-fixed conformal parameterization from 3D surface mesh patch to a plane is performed in the method. Then, based on the initial parameterization, the iterations of boundary-free quasi-harmonic parameterization are developed, where the tensor field is updated in each iterative step and the principal curvature direction is utilized to terminate the iteration. The solution of the novel method is convenient to calculate since it involves a series of linear systems. In our novel parameterization method, lower metric distortion and considerable efficiency have been obtained in experiments.
- Subjects :
- Optimization
Computer and Information Sciences
Arthropoda
Computer science
Mesh parameterization
Science
Finite Element Analysis
Geometry
Boundary (topology)
02 engineering and technology
Research and Analysis Methods
01 natural sciences
Tensor field
Beetles
Principal curvature
Distortion
Tangents
0202 electrical engineering, electronic engineering, information engineering
Animals
0101 mathematics
Parametric statistics
ComputingMethodologies_COMPUTERGRAPHICS
Multidisciplinary
Curvature
Plane (geometry)
Applied Mathematics
Simulation and Modeling
Linear system
Organisms
Biology and Life Sciences
Eukaryota
020207 software engineering
Models, Theoretical
Surgical Mesh
Invertebrates
Computing Methods
Insects
010101 applied mathematics
Ellipses
Physical Sciences
Metric (mathematics)
Medicine
Parametrization
Algorithm
Mathematics
Algorithms
Research Article
Subjects
Details
- Language :
- English
- ISSN :
- 19326203
- Volume :
- 14
- Issue :
- 6
- Database :
- OpenAIRE
- Journal :
- PLoS ONE
- Accession number :
- edsair.doi.dedup.....36063f3018b1d7eee3c44cc841b3ef9f