CPSC 548 - Directed Studies - Report Vertex-Edge Quadric for Edge Collapse Mesh Simplification

In order to preserve structural edges and shapes while simplifying the triangle mesh of man-made 3D models, we propose a new quadric error metric based on the distances between the new vertex position and the affected edges for edge collapse operations. With a 2D view sampling method, the contour and silhouette likelihood of the edges are computed, which act as the quadric’s weights during the mesh decimation. The comparisons and analysis among our methods with different weighting schemes will be presented in this report. We also compare our method with QSlim [Garland and Heckbert 1997] and structure-aware mesh decimation method [Salinas et al. 2015] in multiple cases. Output generated by our method is better than QSlim and comparable to structure-aware method in most of the cases.