When using triangle meshes in numerical simulations or other sophisticated downstream applications, we have to guarantee that no degenerate faces are present since they have, e.g....
The motion-planning problem, involving the computation of a collision-free path for a moving entity amidst obstacles, is a central problem in fields like Robotics and Game Design....
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...
Recently, animations with deforming objects have been frequently used in various computer graphics applications. Metamorphosis (or morphing) of three-dimensional objects is one of...
Let F be a collection of n d-variate, possibly partially defined, functions, all algebraic of some constant maximum degree. We present a randomized algorithm that computes the vert...