Two improvements of the foliation based quad meshing method

TL;DR

This paper proposes two improvements to surface foliation-based quad meshing, enabling feature preservation and high-level structure generation for industrial applications.

Contribution

It introduces a novel method combining boundary curvature analysis and a modified double cover technique for feature-preserving quad mesh generation.

Findings

The algorithm effectively preserves boundary corners.

The method produces high-structure quad meshes.

Experimental results validate the approach's efficacy.

Abstract

Quadrilateral meshes with high level structure and feature preserving property benefit industrial applications the most. Generation of such quad mesh remains a challenge. Quad meshes generated using surface foliation have the highest level structure, however they lack of the feature preserving ability. In this paper, we analyze the boundary curvature with Gauss-Bonnet theorem to determine whether a boundary rectangle corner preserving foliation based method exists. When it exists, we adopt a modified double cover technique together with surface foliation method to generate a corner feature preserving quad mesh. The experiments demonstrate the efficacy of our algorithm.