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.

翻译：三角网格是三维建模领域中广泛使用的一种表示形式。本文提出了一种基于边长的三角网格线性细分新方法，并辅以两种辅助技术。我们全面比较了不同细分方法在计算能力和网格增强能力方面的表现。与现有方法相比，我们提出的方法展现出更高的计算效率，并能以更少的单元生成更高质量的网格。当结合本文提出的两种辅助技术时，我们的方法在计算效率和网格增强能力方面的提升效果进一步增强。本项新策略对该领域做出了重要贡献，并对局部网格细化、计算机辅助设计及各向同性网格重划具有重要意义。