Title
Numerical reconstruction of convex polytopes from directional moments Numerical reconstruction of convex polytopes from directional moments
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Basel :Baltzer ,
Subject
Mathematics
Source (journal)
Advances in computational mathematics. - Basel
Volume/pages
41(2015) :6 , p. 1079-1099
ISSN
1019-7168
ISI
000365740800006
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We reconstruct an n-dimensional convex polytope from the knowledge of its directional moments. The directional moments are related to the projection of the polytope vertices on a particular direction. To extract the vertex coordinates from the moment information we combine established numerical algorithms such as generalized eigenvalue computation and linear interval interpolation. Numerical illustrations are given for the reconstruction of 2-d and 3-d convex polytopes.
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Full text (open access)
https://repository.uantwerpen.be/docman/irua/44db0f/130231.pdf
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