On set covariance and three-point test sets

Title:

On set covariance and three-point test sets

Creator:

Rataj, Jan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1f0e7837-686d-4436-a246-b01d53283268
uuid:1f0e7837-686d-4436-a246-b01d53283268

Subject:

convex body, set with positive reach, normal measure, and set covariance

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The information contained in the measure of all shifts of two or three given points contained in an observed compact subset of $\mathbb{R}^d $ is studied. In particular, the connection of the first order directional derivatives of the described characteristic with the oriented and the unoriented normal measure of a set representable as a finite union of sets with positive reach is established. For smooth convex bodies with positive curvatures, the second and the third order directional derivatives of the characteristic is computed.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

205-214

Source:

Czechoslovak Mathematical Journal | 2004 Volume:54 | Number:1

Harvested from:

CDK

Metadata only:

false