| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4625082 | Advances in Applied Mathematics | 2010 | 11 Pages |
Abstract
A new rotational version of Crofton's formula is derived for the intrinsic volumes of a domain Y in a space form. More precisely, a functional is defined on the intersection between Y and a totally geodesic submanifold (plane) through a fixed point, such that the rotational average of this functional is equal to the intrinsic volumes of Y. Particular cases of interest in stereology are considered for the Euclidean case.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
