Investigation on a Novel Length-Based Local Linear Subdivision Strategy for Triangular Meshes

TL;DR

This paper introduces a new length-based local linear subdivision method for triangular meshes that improves computational efficiency and mesh quality, with auxiliary techniques enhancing its performance for applications like mesh refinement and CAD.

Contribution

The paper presents a novel length-based subdivision strategy with auxiliary techniques, offering better efficiency and mesh quality than existing methods.

Findings

Improved computational efficiency over traditional methods.

Fewer elements generated with higher mesh quality.

Enhanced performance with auxiliary techniques.

Abstract

Triangular meshes are a widely used representation in the field of 3D modeling. In this paper, we present a novel approach for edge length-based linear subdivision on triangular meshes, along with two auxiliary techniques. We conduct a comprehensive comparison of different subdivision methods in terms of computational capabilities and mesh-enhancing abilities. Our proposed approach demonstrates improved computational efficiency and generates fewer elements with higher quality compared to existing methods. The improvement in computational efficiency and mesh augmentation capability of our method is further enhanced when working with the two auxiliary techniques presented in this paper. Our novel strategy represents a significant contribution to the field and has important implications for local mesh refinement, computer-aided design, and isotropic remeshing.