We address two-dimensional shape-based classification, considering shapes described by arbitrary sets of unlabeled points, or landmarks. This is relevant in practice because, in m...
In many situations it is convenient to represent pictorial data in the form of contours. It may become necessary to compress such contour data for efficient storage and transmissi...
A set of points in the plane is said to be in general position if no three of them are collinear and no four of them are cocircular. If a point set determines only distinct vector...
Abstract Formal topology is today an established topic in the development of constructive mathematics and constructive proofs for many classical results of general topology have be...
We consider a variation of a problem stated by Erd˝os and Szekeres in 1935 about the existence of a number fES (k) such that any set S of at least fES (k) points in general posit...
Oswin Aichholzer, Thomas Hackl, Clemens Huemer, Fe...