A representation for volume involving interior reach (Q1318116)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A representation for volume involving interior reach |
scientific article; zbMATH DE number 537304
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A representation for volume involving interior reach |
scientific article; zbMATH DE number 537304 |
Statements
A representation for volume involving interior reach (English)
0 references
26 May 1994
0 references
The interior reach at a boundary point of an \(n\)-dimensional convex body is the radius of the largest ball contained within the body which also includes the boundary point. The author shows: The volume of a convex body may be represented as an alternating sum of integrals of powers of the interior reach function. Each integral is over the boundary of the body and the integration is with respect to the appropriate Federer curvature measure.
0 references
\(n\)-dimensional convex body
0 references
interior reach
0 references
volume
0 references
Federer curvature measure
0 references
