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Meschers: Geometry Processing of Impossible Objects

Meschers: Geometry Processing of Impossible Objects Fig. 1. The mescher is a geometry representation that allows rendering and relighting impossible objects (left), as well as performing intrinsic geometry processing operations like heat diffusion (center) and geodesic distance queries (right). Abstract Impossible objects, geometric constructions that humans can perceive but that cannot exist in real life, have been a topic of intrigue in visual arts, perception, and graphics, yet no satisfyin

Computing simplified coverage polygons

A somewhat recurring problem I encounter in things I work on is the need to compute simplified geographic polygons, or more specifically, simplified hulls of geographic polygons. Here’s an overview on the currently used approach, maybe someone has pointers to better algorithms for this. Coverage polygons Geographic polygons are used in a few different places: The Transport API Repository and consumers of it like KPublicTransport use them for describing areas covered by a public transport rout

Meet Meschers, MIT’s Tool for Building Paradoxical Digital Objects

Meet “impossibagel,” a physically impossible bagel that mathematicians use to resolve intricate geometry problems. But impossibagel—and other “impossible objects” in mathematics—is notoriously difficult to replicate, and researchers haven’t been able to fully tap into their mathematical potential. That may no longer be a problem, thanks to a new tool. On Monday, researchers at MIT’s Computer Science and Artificial Intelligence Laboratory (CSAIL) announced “Meschers,” software capable of visuali