Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624483 | Advances in Applied Mathematics | 2017 | 30 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Astrid Kousholt,