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Point Ordering with Natural Distance Based on Brownian Motion
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-03
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We consider a curve reconstruction problem from unorganized point clouds with noise.
In general, the result of curve reconstruction depends on how to select and order the representative points to resemble the shape of the clouds.
We exploit a natural distance based on a property of one-dimensional Brownian motion to order sample points, which simultaneously reflect smoothness and nearness of points, so that our algorithm is able to reconstruct not only simple curves but also nonsimple curves.
Numerous examples show that this algorithm is effective.
The natural distance proposed in this paper is able to play an important role in a variety of fields of measuring the distance of points with considering direction.
American Psychological Association (APA)
Kim, Philsu& Kim, Hyoungseok. 2010. Point Ordering with Natural Distance Based on Brownian Motion. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-472540
Modern Language Association (MLA)
Kim, Philsu& Kim, Hyoungseok. Point Ordering with Natural Distance Based on Brownian Motion. Mathematical Problems in Engineering No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-472540
American Medical Association (AMA)
Kim, Philsu& Kim, Hyoungseok. Point Ordering with Natural Distance Based on Brownian Motion. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-472540
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472540