It is often helpful to compute the intrinsic volumes of a set of which only a pixel image is observed. A computational efficient approach, which is suggested by several authors and used in practice,… (More)

We prove a functional central limit theorem for integrals ∫ W f(X(t)) dt, where (X(t))t∈Rd is a stationary mixing random field and the stochastic process is indexed by the function f , as the… (More)

The Wills functional of a convex body was originally defined as the sum of its intrinsic volumes. Meanwhile, various integral representations of the Wills functional have been introduced. In this… (More)

The r-parallel volume V (Cr) of a compact subset C in d-dimensional Euclidean space is the volume of the set Cr of all points of Euclidean distance at most r > 0 from C. According to Steiner’s… (More)

In this paper we examine the asymptotic behavior of the parallel volume of planar non-convex bodies as the distance tends to infinity. We show that the difference between the parallel volume of the… (More)

A constitutive equation based on stress-strain models of bulk solids was adapted to relate the surface pressure, compression rate, and temperature of an insoluble monolayer of monodendrons during… (More)

We use the empirical normalized (smoothed) periodogram of a SαS moving average random function to estimate its kernel function from high frequency observation data. The weak consistency of the… (More)