Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624994 | Advances in Applied Mathematics | 2010 | 11 Pages |
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