A Translative Integral Formula for Absolute Curvature Measures

Author: Rataj J.¹

Source: Geometriae Dedicata, Volume 84, Numbers 1-3, February 2001 , pp. 245-252(8)

Publisher: Springer

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Abstract:

Absolute curvature measures are certain positive variants of curvature measures which are defined by means of the kinematic measure of flats of a given dimension touching the examined body. A kinematic flat section formula for absolute curvature measures was proved by Baddeley and Rother and Zähle. We present here a translative version of this formula.

Keywords: Curvature measure; positive reach; Grassmann manifold

Language: English

Document Type: Regular paper

Affiliations: 1: Mathematical Institute of Charles University, Sokolovská 83, 18675 Praha 8, Czech Republic. E-mail: rataj@karlin.mff.cuni.cz

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