Isotropic Remeshing with Inter-Angle Optimization

TL;DR

This paper introduces an improved isotropy remeshing method that uses inter-angle optimization to better control shape, accelerate convergence, and enhance efficiency in mesh quality improvement tasks.

Contribution

The proposed method incorporates inter-angle optimization into isotropic remeshing, enabling better shape control and faster convergence compared to classical approaches.

Findings

Enhanced efficiency in mesh optimization

Improved shape control through angle monitoring

Faster convergence in isotropic remeshing

Abstract

As an important metric for mesh quality evaluation, the isotropy property holds significant value for applications such as texture UV-mapping, physical simulation, and discrete geometric analysis. Classical isotropy remeshing methods adjust vertices and edge lengths, which exhibit certain limitations in terms of input data sensitivity, geometric consistency control, and convergence speed. In this paper, we propose an improved isotropy remeshing solution with inter-angle optimization during mesh editing to enhance shape control capability and accelerate convergence. The advantage of the solution lies in its ability to predict the impact of edge length adjustments on subsequent optimization by monitoring angle transformations. It avoids inefficient editing that may cause performance fluctuations, thereby improving efficiency. Experiments demonstrate that the proposed method effectively improves the overall efficiency of mesh optimization.