3 papers
math.MG2016
Reconstruction of -dimensional convex bodies from surface tensors
Astrid Kousholt
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 algor…
math.MG2016
Reconstruction of convex bodies from moments
Astrid Kousholt, Julia Schulte
We investigate how much information about a convex body can be retrieved from a finite number of its geometric moments. We give a sufficient condition for a convex body to be uniqu…
math.PR2014
Surface tensor estimation from linear sections
Astrid Kousholt, Markus Kiderlen, Daniel Hug
From Crofton's formula for Minkowski tensors we derive stereological estimators of translation invariant surface tensors of convex bodies in the n-dimensional Euclidean space. The…