Visualization and Analysis for Mesh Surface Curvature Based on Interpolation

• Yoo-Joo Choi,
• Ku-Jin Kim,

Vol. 19, No. 3, March 31, 2025
10.3837/tiis.2025.03.009, Download Paper (Free):

• Gaussian Curvature
• Mean Curvature
• Principal Curvature
• Linear Interpolation
• triangular mesh

Abstract

In this paper, we propose a method for visualizing a triangular mesh surface according to the curvature classes and calculating the surface area for each class. The curvature is calculated at each vertex of a mesh, and the curvature class is decided by the predefined range. Under the assumption that the curvature changes continuously, the proposed method calculates the interpolation points corresponding to the boundary of each curvature class along the edge of the face. By connecting those interpolation points appropriately, the region of the face is subdivided by the curvature classes. The proposed method visualizes and analyzes the curvature range of the entire mesh efficiently using the divided face regions, where it contributes to clear visualization and analysis of curvature distribution. Through experiments, we show that the proposed algorithm has better visual performance than previous ones.

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