We consider the family of area bisectors of a polygon possibly with holes in the plane. We say that two bisectors of a polygon P are combinatorially distinct if they induce di e...
Many algorithms developed in computational geometry are needlessly complicated and slow because they have to be prepared for very complicated, hypothetical inputs. To avoid this, ...
Mark de Berg, Matthew J. Katz, A. Frank van der St...
We describe the first known algorithm for efficiently maintaining a Binary Space Partition (BSP) for n continuously moving segments in the plane, whose interiors remain disjoint...
Pankaj K. Agarwal, Leonidas J. Guibas, T. M. Mural...
In this paper we study the following problem: how to divide a cake among the children attending a birthday party such that all the children get the same amount of cake and the same...
Jin Akiyama, Atsushi Kaneko, Mikio Kano, Gisaku Na...
We study the minimum number g(m, n) (respectively, p(m, n)) of pieces needed to dissect a regular m-gon into a regular n-gon of the same area using glass-cuts (respectively, polygo...