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Geodesics on Point Clouds
Joint Authors
Zhang, Jian J.
Jiao, Zheng
Yu, Hongchuan
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We present a novel framework to compute geodesics on implicit surfaces and point clouds.
Our framework consists of three parts, particle based approximate geodesics on implicit surfaces, Cartesian grid based approximate geodesics on point clouds, and geodesic correction.
The first two parts can effectively generate approximate geodesics on implicit surfaces and point clouds, respectively.
By introducing the geodesic curvature flow, the third part produces smooth and accurate geodesic solutions.
Differing from most of the existing methods, our algorithms can converge to a given tolerance.
The presented computational framework is suitable for arbitrary implicit hypersurfaces or point clouds with high genus or high curvature.
American Psychological Association (APA)
Yu, Hongchuan& Zhang, Jian J.& Jiao, Zheng. 2014. Geodesics on Point Clouds. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-504049
Modern Language Association (MLA)
Yu, Hongchuan…[et al.]. Geodesics on Point Clouds. Mathematical Problems in Engineering No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-504049
American Medical Association (AMA)
Yu, Hongchuan& Zhang, Jian J.& Jiao, Zheng. Geodesics on Point Clouds. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-504049
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504049