3D Shape Classification Based on Spectral Function and MDS Mapping

Author:

Chen Zhanqing1,Tang Kai1

Affiliation:

1. Department of Mechanical Engineering, Hong Kong University of Science and Technology, Hong Kong, China

Abstract

This paper reports a new method for 3D shape classification. Given a 3D shape M, we first define a spectral function at every point on M that is a weighted summation of the geodesics from the point to a set of curvature-sensitive feature points on M. Based on this spectral field, a real-valued square matrix is defined that correlates the topology (the spectral field) with the geometry (the maximum geodesic) of M, and the eigenvalues of this matrix are then taken as the fingerprint of M. This fingerprint enjoys several favorable characteristics desired for 3D shape classification, such as high sensitivity to intrinsic features on M (because of the feature points and the correlation) and good immunity to geometric noise on M (because of the novel design of the weights and the overall integration of geodesics). As an integral part of the work, we finally apply the classical multidimensional scaling method to the fingerprints of the 3D shapes to be classified. In all, our classification algorithm maps 3D shapes into clusters in a Euclidean plane that possess high fidelity to intrinsic features—in both geometry and topology—of the original shapes. We demonstrate the versatility of our approach through various classification examples.

Publisher

ASME International

Subject

Industrial and Manufacturing Engineering,Computer Graphics and Computer-Aided Design,Computer Science Applications,Software

Reference35 articles.

1. A Search Engine for 3D Models;Funkhouser;ACM Trans. Graphics

2. Three-Dimensional Shape Searching: State-of-the-Art Review and Future Trends;Iyer;Comput.-Aided Des.

3. Skeleton Based Shape Matching and Retrieval;Sundar

4. Recognition of Shapes by Editing Shock Graphs;Sebastian

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Visualizing Google Sheets Data in Web Applications with Laravel;International Journal of Advanced Research in Science, Communication and Technology;2023-07-29

2. Outlier Detection for Robust Multi-Dimensional Scaling;IEEE Transactions on Pattern Analysis and Machine Intelligence;2019-09-01

3. Three-Dimensional CAD Model Matching With Anisotropic Diffusion Maps;IEEE Transactions on Industrial Informatics;2018-01

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3