We consider the motion planning problem for a 2-link robot amidst polygonal obstacles. The two links are normally allowed to cross each other, but in this paper, we introduce the non-crossing version of this robot. This 4DOF configuration space is novel and interesting. Using the recently introduced algorithmic framework of Soft Subdivision Search (SSS), we design a resolution-exact planner for...

A 7-year-old boy was presented with a long-standing slowly growing mass of the left supraorbital area. A biopsy specimen revealed a bland spindle cell proliferation with scattered polygonal cells with acidophilic cytoplasm and cross-striations. Our differential diagnosis included rhabdomyoma of fetal type, leiomyoma with trapping of regenerating skeletal muscle elements, and rhabdomyomatous mes...

In this paper we propose a new method for morphing between two polygonal, possibly non-simply-connected, shapes in the plane. The method is based on reconstructing an xy-monotone surface whose extreme cross-sections coincide with the given shapes. The surface generated by our algorithm does not contain any self-intersections, does not change the topologies of the input slices, does not contain ...

Layer-bound, low-displacement normal faults, arranged into a broadly polygonal pattern, are common in many sedimentary basins. Despite having constrained their gross geometry, we have a relatively poor understanding of the processes controlling the nucleation and growth (i.e., the kinematics) of polygonal fault systems. In this study we use high-resolution 3-D seismic reflection and borehole da...