There are many depth measures on point sets that yield centerpoint theorems. These theorems guarantee the existence of points of a specified depth, a kind of geometric median. How...
We pose a monotonicity conjecture on the number of pseudo-triangulations of any planar point set, and check it on two prominent families of point sets, namely the so-called double...
Oswin Aichholzer, David Orden, Francisco Santos, B...
We consider the problem of removing c points from a set S of n points so that the resulting point set has the smallest possible convex hull. Our main result is an O n 4c 2c (3c)c +...
We present a generalization of Welzl's smallest enclosing disk algorithm [E. Welzl, Smallest enclosing disks (balls and ellipsoids), in: New Results and New Trends in Compute...
We introduce the concept of region-fault tolerant spanners for planar point sets, and prove the existence of region-fault tolerant spanners of small size. For a geometric graph G ...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...
Pattern matching in point sets is a well studied problem with numerous applications. We assume that the point sets may contain outliers (missing or spurious points) and are subjec...
We give a brief account of results concerning the number of triangulations on finite point sets in the plane, both for arbitrary sets and for specific sets such as the n
A center-transversal line for two finite point sets in R3 is a line with the property that any closed halfspace that contains it also contains at least one third of each point set...
Pankaj K. Agarwal, Sergio Cabello, Joan Antoni Sel...
We present a novel, efficient, initializationfree approach to the problem of epipolar geometry estimation, by formulating it as one of hyperplane inference from a sparse and noisy...
We present a new approach for reconstructing a smooth surface from a set of scattered points in three-dimensional (3D) space. Our algorithm first decomposes a given point set int...
Benjamin F. Gregorski, Bernd Hamann, Kenneth I. Jo...