13 citations · 62 across the 26 of their papers we have counts for
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math.MG2019
Integral geometry of pairs of hyperplanes or lines
Daniel Hug, Rolf Schneider
Crofton's formula of integral geometry evaluates the total motion invariant measure of the set of -dimensional planes having nonempty intersection with a given convex body. This…
math.MG2019
Separation bodies: a conceptual dual to floating bodies
Rolf Schneider
Let be a convex body in Euclidean space , and let a translation invariant, locally finite Borel measure on the space of hyperplanes in be given.…
math.PR2019
Poisson hyperplane processes and approximation of convex bodies
Daniel Hug, Rolf Schneider
A natural model for the approximation of a convex body in by random polytopes is obtained as follows. Take a stationary Poisson hyperplane process in the space,…