We present a simple randomized scheme for triangulating a set P of n points in the plane, and construct a kinetic data structure which maintains the triangulation as the points of...
The best known upper bound on the number of topological changes in the Delaunay triangulation of a set of moving points in R2 is (nearly) cubic, even if each point is moving with ...
Pankaj K. Agarwal, Jie Gao, Leonidas J. Guibas, Ha...
We study the problem of computing the similarity between two piecewise-linear bivariate functions defined over a common domain, where the surfaces they define in 3D—polyhedral...
Pankaj K. Agarwal, Boris Aronov, Marc J. van Kreve...
Orthogonal range reporting is the problem of storing a set of n points in d-dimensional space, such that the k points in an axis-orthogonal query box can be reported efficiently. ...
Let P be a set of n points in R3 . The 2-center problem for P is to find two congruent balls of the minimum radius whose union covers P. We present two randomized algorithms for ...
Pankaj K. Agarwal, Rinat Ben Avraham, Micha Sharir