Isotropic Surface Remeshing without Large and Small Angles

Citation Author(s):
Yiqun Wang, Dong-Ming Yan, Chengcheng Tang, Xiaohan Liu, Jianwei Guo, Peter Wonka
Submitted by:
Dongming Yan
Last updated:
Tue, 05/17/2022 - 22:17
DOI:
10.21227/H2766V
Research Article Link:
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Abstract 

We introduce a novel algorithm for isotropic surface remeshing which progressively eliminates obtuse triangles and improves small angles. The main novelty of the proposed approach is a simple vertex insertion scheme that facilitates the removal of large angles, and a vertex removal operation that improves the distribution of small angles. Combined with other standard local mesh operators, e.g., connectivity optimization and local tangential smoothing, our algorithm is able to remesh a

low-quality mesh surface efficiently. Our approach can be used as a post-processing step following other remeshing approaches or applied directly. Our method has a similar computational efficiency compared to the fastest approach available, i.e., real-time adaptive remeshing [1]. Compared with state-of-the-art approaches, our method consistently generates better results evaluated by different metrics.

Instructions: 

Explanation of the methods and models

 

The meaning of the suffix of the model name:

 

 

Input: The original input models

 

mps: Maximal Poisson-disk Sampling

Reference: Gap processing for adaptive maximal Poisson-disk sampling

 

rar: Real-time Adaptive Remeshing

Reference: Adaptive remeshing for real-time mesh deformation

 

mai: Minimal Angle Improvement

Reference: Error bounded and feature preserving surface remeshing 

 

with minimal angle improvement

 

cvt: Centroidal Voronoi tessellation

Reference: Isotropic remeshing with fast and exact computation of 

 

restricted Voronoi diagram

 

nob: Non-OBtuse remeshing

Reference: Non-obtuse Remeshing with Centroidal Voronoi Tessellation

 

spp: Simple Push-Pull

Reference: A simple push-pull algorithm for blue-noise sampling

 

fpo: Farthest Point Optimization

Reference: Blue noise remeshing with farthest point optimization

 

ifm: Instant Field-aligned Meshes

Reference: Instant field-aligned meshes

 

_35-86: reach 35-86 degree after our method

 

_30-90: reach 30-90 degree after our method

Reference: Isotropic Surface Remeshing without Large and Small 

 

Angles

 

Note that different methods have different initial normalization or 

 

initial processing, so the scale of the model is not the same