Reconstruction of n-dimensional convex bodies from surface tensors

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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.
OriginalsprogEngelsk
UdgiverCentre for Stochastic Geometry and advanced Bioimaging, Aarhus University
Antal sider25
StatusUdgivet - 2016
NavnCSGB Research Reports
Vol/bind2016/08

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