Article ID Journal Published Year Pages File Type
4624994 Advances in Applied Mathematics 2010 11 Pages PDF
Abstract

A new rotational formula of Crofton type is derived for intrinsic volumes of a compact subset X⊂Rd of positive reach. The formula provides a functional defined on the section of X with a j-dimensional linear subspace with rotational average equal to the intrinsic volumes of X. Simplified forms of the functional are derived in special cases.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics