Planar Strong Visibility

The study of nontraditional notions of visibility and convexity is a fruitful branch of geometry, which has found applications in vlsi design, graphics, and motion planning. Researchers have investigated multiple variations of these notions, including orthogonal, finitely oriented, and restricted-orientation visibility and convexity, as well as nesw and link convexity. Rawlins introduced the notions of strong visibility and convexity in his doctoral dissertation, as part of his research on restricted-orientation geometry. Rawlins and Wood studied strongly convex sets, and demonstrated that they generalize not only standard convexity, but also the notions of ortho-rectangles and C-oriented polygons. We extended restricted-orientation geometry to higher dimensions and reported the results in a series of articles. Martynchik, Metelski, Rawlins, Schuierer, and Wood explored computational problems in restricted-orientation geometry and developed a suite of related