Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/29147
Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Numerical reconstruction of convex polytopes from directional moments
Author(s): Collowald, Mathieu
Cuyt, Annie
Hubert, Evelyne
Lee, Wen-shin
Salazar Celis, Oliver
Contact Email: wen-shin.lee@stir.ac.uk
Keywords: Shape from moment
Brion’s formula
Directional moments
Prony
Generalized eigenvalues
Interval interpolation
Issue Date: Dec-2015
Citation: Collowald M, Cuyt A, Hubert E, Lee W & Salazar Celis O (2015) Numerical reconstruction of convex polytopes from directional moments. Advances in Computational Mathematics, 41 (6), pp. 1079-1099. https://doi.org/10.1007/s10444-014-9401-0
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.
DOI Link: 10.1007/s10444-014-9401-0
Rights: [Collowald et al-ACM-2015.pdf] [Copyright] The publisher does not allow this work to be made publicly available in this Repository. Please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study.
[moments.pdf] This is a post-peer-review, pre-copyedit version of an article published in Advances in Computational Mathematics. The final authenticated version is available online at: https://doi.org/10.1007/s10444-014-9401-0

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