On the approximation of intrinsic volumes

F. Pausinger, On the Approximation of Intrinsic Volumes, IST Austria, 2015.

Download
No fulltext has been uploaded. References only!
Thesis | Published | English
Department
Series Title
IST Austria Thesis
Abstract
This thesis is concerned with the computation and approximation of intrinsic volumes. Given a smooth body M and a certain digital approximation of it, we develop algorithms to approximate various intrinsic volumes of M using only measurements taken from its digital approximations. The crucial idea behind our novel algorithms is to link the recent theory of persistent homology to the theory of intrinsic volumes via the Crofton formula from integral geometry and, in particular, via Euler characteristic computations. Our main contributions are a multigrid convergent digital algorithm to compute the first intrinsic volume of a solid body in R^n as well as an appropriate integration pipeline to approximate integral-geometric integrals defined over the Grassmannian manifold.
Publishing Year
Date Published
2015-06-01
Page
144
IST-REx-ID

Cite this

Pausinger F. On the Approximation of Intrinsic Volumes. IST Austria; 2015.
Pausinger, F. (2015). On the approximation of intrinsic volumes. IST Austria.
Pausinger, Florian. On the Approximation of Intrinsic Volumes. IST Austria, 2015.
F. Pausinger, On the approximation of intrinsic volumes. IST Austria, 2015.
Pausinger F. 2015. On the approximation of intrinsic volumes, IST Austria, 144p.
Pausinger, Florian. On the Approximation of Intrinsic Volumes. IST Austria, 2015.

Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar