Browsing by Author "44093656-0318-4740-9a00-d646c8ff2531"
Now showing items 1-5 of 5
-
A new expression for the density of totally geodesic submanifolds in space forms, with stereological applications
Elsevier (2009)Integral section formulae for totally geodesic submanifolds (planes) intersecting a compact submanifold in a space form are available from appropriate representations of the motion invariant density (measure) of these ... -
A new rotational integral formula for intrinsic volumes in space forms
Elsevier (2010)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 ...
-
New rotational integrals in space forms, with an application to surface area estimation
Springer (2016-08)A surface area estimator for three-dimensional convex sets, based on the invariator principle of local stereology, has recently motivated its generalization by means of new rotational Crofton-type formulae using Morse ... -
Stereology with cylinder probes
International Society for Stereology (2020)Intersection formulae of Croton type for general geometric probes are well known in integral geometry. For the special case of cylinders with non necessarily convex direktrix, however, no equivalent formula seems to exist ...
-
The invariator Design: An update
International Society for Stereology (2015-09)The invariator is a method to generate a test line within an isotropically oriented plane through a fixed point, in such a way that the test line is effectively motion invariant in three dimensional space. Generalizations ...
