Reconstruction of $n$-dimensional convex bodies from surface tensors
Metric Geometry
2016-06-28 v1
Abstract
In this paper, we derive uniqueness and stability results for surface tensors. Further, we develop two algorithms that reconstruct shape of -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.
Keywords
Cite
@article{arxiv.1606.08240,
title = {Reconstruction of $n$-dimensional convex bodies from surface tensors},
author = {Astrid Kousholt},
journal= {arXiv preprint arXiv:1606.08240},
year = {2016}
}