Adaptively Isotropic Remeshing Based on Curvature Smoothed Field

Area of Science:

• Computer Graphics
• Computational Geometry
• Digital Geometry Processing

Background:

• 3D triangular meshes are crucial for representing real-world objects in manufacturing and entertainment.
• Anisotropic meshes excel at sharp features, while isotropic meshes offer numerical stability.
• Isotropic triangles are preferred when anisotropic properties are not required.

Purpose of the Study:

• To propose a novel remeshing method for generating adaptively isotropic 3D triangular meshes.
• To improve the balance between geometric feature preservation and mesh quality.
• To avoid obtuse triangles in the remeshed models.

Main Methods:

• Developed a remeshing technique that converts input meshes into adaptively isotropic ones.
• Utilized a curvature smoothed field (CSF) to guide the remeshing process.
• Ensured curvature sensitivity for retaining geometric features.

Main Results:

• The proposed method successfully generates adaptively isotropic meshes.
• The method demonstrates improved geometric feature preservation compared to existing techniques.
• The remeshed models exhibit enhanced mesh quality with fewer obtuse triangles.

Conclusions:

• The adaptively isotropic remeshing method offers a superior balance between feature preservation and mesh quality.
• The locally isotropic property of the remeshed triangles benefits downstream geometric processes.
• The method provides a valuable tool for 3D digital geometry applications.