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- Simone Klenk, Volker Schmidt, Evgueni Spodarev
- Comput. Geom.
- 2006

An algorithm is proposed for the simultaneous computation of all Minkowski functionals (except for the volume) of sets from the convex ring in Rd discretized with respect to a given regular lattice. For this purpose, a polyhedral approximation is used to reconstruct their boundary structure. In the planar case d = 2, the performance and precision of the… (More)

- Ralph Guderlei, Simone Klenk, Johannes Mayer, Volker Schmidt, Evgueni Spodarev
- Image Vision Comput.
- 2007

We give algorithms for the simultaneous computation of the area, boundary length and connectivity (the so–called Minkowski functionals) of binary images. It is assumed that a binary image is a discretization of a two–dimensional polyconvex set which is a union of convex components. Edge–corrected versions of these algorithms are used for the estimation of… (More)

A new fast algorithm is proposed for simultaneous computation of all Minkowski functionals (or, equivalently, intrinsic volumes) of sets from the convex ring in Rd discretized with respect to a given rectangular lattice. For this purpose, a certain kind of polyhedral approximation is used to reconstruct their boundary structure. Furthermore, two efficient… (More)

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