华东师范大学学报（自然科学版）Issue(6)：63-75,113,14.DOI:10.3969/j.issn.1000-5641.2017.06.006
一种改进的三维网格凸度衡量方法
An improved convexity measure for 3D meshes
摘要
Abstract
In this paper we proposed an improved 3D mesh convexity measure by projecting only once a given 3D mesh onto the orthogonal 2D planes along its principal directions.Unlike the previous work which was time-consuming and required constant adaptations of the projection direction,we used the calculated result along the principal directions as an initial estimate of mesh convexity,followed by a correction process.In the initial estimation,our measure computed only once the summed area ratio of mesh silhouette images to mesh faces,along the principal directions of the mesh.Then,the mesh was sliced into a number of 2D cross sections along its principal directions.Finally,a 2D convexity measure for the 2D sliced cross sections was employed to correct the convexity overestimated by the initial estimation.Experimental results had demonstrated the effectiveness and effciency of the improved convexity measure against the existing ones.关键词
形状分析/凸度衡量/主成分分析Key words
shape analysis/convexity measure/principal component analysis分类
信息技术与安全科学引用本文复制引用
李瑞,刘磊,盛蕴,张桂戌..一种改进的三维网格凸度衡量方法[J].华东师范大学学报（自然科学版）,2017,(6):63-75,113,14.基金项目
国家自然科学基金(61202291) （61202291）
