Publication
Title
Numerical reconstruction of convex polytopes from directional moments
Author
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.
Language
English
Source (journal)
Advances in computational mathematics. - Basel
Publication
Basel : Baltzer, 2015
ISSN
1019-7168
Volume/pages
41:6(2015), p. 1079-1099
ISI
000365740800006
Full text (Publisher's DOI)
Full text (open access)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 15.01.2016
Last edited 12.09.2017
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