An algorithm and a robust floating point implementation is given for rotational polygon containment: given polygons P1,P2,P3,...,Pk and a container polygon C, find rotations and...
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...
Abstract. In the context of methodologies intended to confer robustness to geometric algorithms, we elaborate on the exact-computation paradigm and formalize the notion of degree o...
Giuseppe Liotta, Franco P. Preparata, Roberto Tama...
We consider the problem of a robot which has to find a target in an unknown simple polygon, based only on what it has seen so far. A street is a polygon for which the two boundary...
Ray (segment) shooting is the problem of determining the first intersection between a ray (directed line segment) and a collection of polygonal or polyhedral obstacles. In order t...
Joseph S. B. Mitchell, David M. Mount, Subhash Sur...