—This paper presents the first practical method for “origamizing” or obtaining the folding pattern that folds a single sheet of material into a given polyhedral surface with...
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia
This work concerns the approximation of the shape operator of smooth surfaces in R3 from polyhedral surfaces. We introduce two generalized shape operators that are vector-valued l...
We develop algorithms to compute edge sequences, Voronoi diagrams, shortest path maps, the Fréchet distance, and the diameter for a polyhedral surface. Distances on the surface a...
The video Geodesics and Waves introduces the concepts of straightest geodesics and geodesic flow on polyhedral surfaces. It is the third in a series of videos presenting research ...
Konrad Polthier, Markus Schmies, Martin Steffens, ...