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sets. A pseudotriangulation (pseudo-triangulations) is a partition of a region of the plane into pseudotriangles, and a pointed pseudotriangulation is a...

subdivisions into shapes related to triangles. In particular, a pseudotriangulation of a point set is a partition of the convex hull of the points into...

pointed pseudotriangulations are exactly the planar Laman graphs. However, Laman graphs have planar embeddings that are not pseudotriangulations, and there...

Streinu's version of the proof adds edges to the input to form a pointed pseudotriangulation, removes one added convex hull edge from this graph, and shows that...

the plane. As a planar Laman graph, it is the graph of a pointed pseudotriangulation, meaning that it can be embedded in the plane in such a way that...

system of multiple disjoint convex curves, using a technique based on pseudotriangulation. Bitangents may be used to speed up the visibility graph approach...

self-crossings. Streinu's solution augments the input to form a pointed pseudotriangulation, removes one convex hull edge from this graph, and shows that this...

can be embedded without crossings in the plane, as the graphs of pseudotriangulations, partitions of a plane region into subregions with three convex corners...

have also been studied include the construction of minimum-weight pseudotriangulations and the characterization of the graphs of minimum-weight triangulations...

that remain planar throughout such a motion can be derived from pseudotriangulations. In structural rigidity, the existence of (infinitesimal) parallel...