Local Stereology of Tensors of Convex Bodies


Autoria(s): Ziegel, Johanna F.; Jensen, Eva B. Vedel
Data(s)

01/06/2014

Resumo

In this paper, we present local stereological estimators of Minkowski tensors defined on convex bodies in ℝ d . Special cases cover a number of well-known local stereological estimators of volume and surface area in ℝ3, but the general set-up also provides new local stereological estimators of various types of centres of gravity and tensors of rank two. Rank two tensors can be represented as ellipsoids and contain information about shape and orientation. The performance of some of the estimators of centres of gravity and volume tensors of rank two is investigated by simulation.

Formato

application/pdf

Identificador

http://boris.unibe.ch/53253/1/Local%20stereology.pdf

Ziegel, Johanna F.; Jensen, Eva B. Vedel (2014). Local Stereology of Tensors of Convex Bodies. Methodology and computing in applied probability, 16(2), pp. 263-282. Springer 10.1007/s11009-013-9337-8 <http://dx.doi.org/10.1007/s11009-013-9337-8>

doi:10.7892/boris.53253

info:doi:10.1007/s11009-013-9337-8

urn:issn:1387-5841

Idioma(s)

eng

Publicador

Springer

Relação

http://boris.unibe.ch/53253/

http://link.springer.com/article/10.1007%2Fs11009-013-9337-8

Direitos

info:eu-repo/semantics/restrictedAccess

Fonte

Ziegel, Johanna F.; Jensen, Eva B. Vedel (2014). Local Stereology of Tensors of Convex Bodies. Methodology and computing in applied probability, 16(2), pp. 263-282. Springer 10.1007/s11009-013-9337-8 <http://dx.doi.org/10.1007/s11009-013-9337-8>

Palavras-Chave #510 Mathematics
Tipo

info:eu-repo/semantics/article

info:eu-repo/semantics/publishedVersion

PeerReviewed