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Reconstruction of n-dimensional convex bodies from surface tensors.
- Source :
-
Advances in Applied Mathematics . Feb2017, Vol. 83, p115-144. 30p. - Publication Year :
- 2017
-
Abstract
- In this paper, we derive uniqueness and stability results for surface tensors. Further, we develop two algorithms that reconstruct shape of n -dimensional convex bodies. One algorithm requires knowledge of a finite number of surface tensors, whereas the other algorithm is based on noisy measurements of a finite number of harmonic intrinsic volumes. The derived stability results ensure consistency of the two algorithms. Examples that illustrate the feasibility of the algorithms are presented. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01968858
- Volume :
- 83
- Database :
- Academic Search Index
- Journal :
- Advances in Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 119561085
- Full Text :
- https://doi.org/10.1016/j.aam.2016.09.004