Topological Methods in Nonlinear Analysis

Hadwiger integration of random fields

Matthew L. Wright

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Abstract

Hadwiger integrals employ the intrinsic volumes as measures for integration of real-valued functions. We provide a formula for the expected values of Hadwiger integrals of Gaussian-related random fields. The expected Hadwiger integrals of random fields are both theoretically interesting and potentially useful in applications such as sensor networks, image processing, and cell dynamics. Furthermore, combining the expected integrals with a functional version of Hadwiger's theorem, we obtain expected values of more general valuations on Gaussian-related random fields.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 45, Number 1 (2015), 117-128.

Dates
First available in Project Euclid: 30 March 2016

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1459344024

Digital Object Identifier
doi:10.12775/TMNA.2015.007

Mathematical Reviews number (MathSciNet)
MR3365008

Zentralblatt MATH identifier
1381.60034

Citation

Wright, Matthew L. Hadwiger integration of random fields. Topol. Methods Nonlinear Anal. 45 (2015), no. 1, 117--128. doi:10.12775/TMNA.2015.007. https://projecteuclid.org/euclid.tmna/1459344024


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