Affiliation:
1. School of Computer Science and Information Engineering Hefei University of Technology Hefei China
2. State Key Laboratory of Multimodal Artificial Intelligence Systems (MAIS) & National Laboratory of Pattern Recognition (NLPR) Institute of Automation of the Chinese Academy of Sciences Beijing China
3. School of Artificial Intelligence University of Chinese Academy of Sciences Beijing China
Abstract
AbstractTriangular meshes of superior quality are important for geometric processing in practical applications. Existing approximative CVT‐based remeshing methodology uses planar polygonal facets to fit the original surface, simplifying the computational complexity. However, they usually do not consider surface curvature. Topological errors and outliers can also occur in the close sheet surface remeshing, resulting in wrong meshes. With this regard, we present a novel method named PowerRTF, an extension of the restricted tangent face (RTF) in conjunction with the power diagram, to better approximate the original surface with curvature adaption. The idea is to introduce a weight property to each sample point and compute the power diagram on the tangent face to produce area‐controlled polygonal facets. Based on this, we impose the variable‐capacity constraint and centroid constraint to the PowerRTF, providing the trade‐off between mesh quality and computational efficiency. Moreover, we apply a normal verification‐based inverse side point culling method to address the topological errors and outliers in close sheet surface remeshing. Our method independently computes and optimizes the PowerRTF per sample point, which is efficiently implemented in parallel on the GPU. Experimental results demonstrate the effectiveness, flexibility, and efficiency of our method.
Subject
Computer Graphics and Computer-Aided Design