A Mesh Simplification Algorithm Based on Curvature Factor of Collapsing Edge

Abstract

Because the current triangle mesh simplification algorithm base on edge collapse have the problem that it always miss the Geometric Features of models,we present a new method of edge collapse triangle mesh simplification.The new method based on the classical algorithm QEM,using Guassian curvature we define the concept of curvature factors of collapsing edge and embed it into the original Garland's quadric error metric,so that the metric can not only measure distance error but also reflect geometric variations of local surface.The experimental results show that the new method can reserve quite a number of important shape features and reduce visual distortion effectively at low levels of detail.