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Numerical reconstruction of convex polytopes from directional moments.
- Source :
- Advances in Computational Mathematics; Dec2015, Vol. 41 Issue 6, p1079-1099, 21p
- Publication Year :
- 2015
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- POLYTOPES
GEOMETRIC vertices
EIGENVALUES
Subjects
Details
- Language :
- English
- ISSN :
- 10197168
- Volume :
- 41
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Advances in Computational Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 111241763
- Full Text :
- https://doi.org/10.1007/s10444-014-9401-0