Isotropic Surface Remeshing without Large and Small Angles.

Area of Science:

• Computer Graphics
• Computational Geometry
• Mesh Processing

Background:

• Surface remeshing is crucial for various applications, including finite element analysis and computer graphics.
• Existing methods often struggle with generating high-quality meshes with well-distributed angles, particularly for low-quality input surfaces.
• Isotropic remeshing aims to create meshes with elements of similar size and shape, leading to improved numerical stability and visual quality.

Purpose of the Study:

• To introduce a novel algorithm for isotropic surface remeshing.
• To address the limitations of existing methods in eliminating obtuse triangles and improving small angles.
• To provide an efficient and effective solution for generating high-quality surface meshes.

Main Methods:

• A novel vertex insertion scheme to eliminate large angles.
• A vertex removal operation to improve the distribution of small angles.
• Integration with standard mesh operators like connectivity optimization and local tangential smoothing.

Main Results:

• The algorithm effectively eliminates obtuse triangles and improves small angles in surface meshes.
• It efficiently remeshes low-quality surfaces, producing high-quality results.
• The method demonstrates comparable computational efficiency to real-time adaptive remeshing.

Conclusions:

• The proposed isotropic surface remeshing algorithm offers a robust and efficient approach for generating high-quality meshes.
• It outperforms current state-of-the-art methods in terms of mesh quality metrics.
• The algorithm can be used as a standalone solution or as a post-processing step for other remeshing techniques.