By introducing some redundant Klee-Minty constructions, we have previously shown that the central path may visit every vertex of the Klee-Minty cube having 2n - 2 "sharp"...
Randomized incremental constructions are widely used in computational geometry, but they perform very badly on large data because of their inherently random memory access patterns...
This paper prescribes an incremental procedure to construct roadmaps of unknown environments. Recall that a roadmap is a geometric structure that a robot uses to plan a path betwe...
Howie Choset, Sean Walker, Kunnayut Eiamsa-Ard, Jo...
The clock signal and clock skew become more and more important for the circuit performance. Since there are salient shortcomings in the conventional topology construction algorith...
Geometric constructions applied to a rational action of an algebraic group lead to a new algorithm for computing rational invariants. A finite generating set of invariants appear...