COMPUTATION OF THE PERIMETER OF MEASURABLE SETS VIA THEIR COVARIOGRAM. APPLICATIONS TO RANDOM SETS

COMPUTATION OF THE PERIMETER OF MEASURABLE SETS VIA THEIR COVARIOGRAM. APPLICATIONS TO RANDOM SETS

The covariogram of a measurable set A ⊂ Rd is the function gA which to each y ∈ Rd associates the Lebesgue measure of A ∩ (y + A). This paper proves two formulas. The first equates the directional derivatives at the origin of gA to the directional variations of A. The second equates the average di...

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Bibliographic Details
Main Author: Bruno Galerne
Format: Article
Language:English
Published: Slovenian Society for Stereology and Quantitative Image Analysis 2011-03-01
Series:Image Analysis and Stereology
Subjects:
Boolean model
covariogram
directional variation
random closed sets
set of finite perimeter
specific variation
Online Access:http://www.ias-iss.org/ojs/IAS/article/view/22

Internet

http://www.ias-iss.org/ojs/IAS/article/view/22

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