On estimation of intrinsic volume densities of stationary random closed sets via parallel sets in the plane

Title:

On estimation of intrinsic volume densities of stationary random closed sets via parallel sets in the plane

Creator:

Mrkvička, Tomáš and Rataj, Jan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:97cdcce0-7c94-4a98-a099-3f09124530e4
uuid:97cdcce0-7c94-4a98-a099-3f09124530e4

Subject:

random closed set, convex ring, curvature measure, and intrinsic volume

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

A method of estimation of intrinsic volume densities for stationary random closed sets in Rd based on estimating volumes of tiny collars has been introduced in T. Mrkvička and J. Rataj, On estimation of intrinsic volume densities of stationary random closed sets, Stoch. Proc. Appl. 118 (2008), 2, 213-231. In this note, a stronger asymptotic consistency is proved in dimension 2. The implementation of the method is discussed in detail. An important step is the determination of dilation radii in the discrete approximation, which differs from the standard techniques used for measuring parallel sets in image analysis. A method of reducing the bias is proposed and tested on simulated data.

Language:

English

Rights:

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

Coverage:

[931]-945

Source:

Kybernetika | 2009 Volume:45 | Number:6

Harvested from:

CDK

Metadata only:

false