We present a reliable method to generate planar meshes of nonlinear rational triangular elements. The elements are guaranteed to be valid, i.e. defined by injective rational functions. The mesh is guaranteed to conform ...

We show how to sample uniformly within the three-sided region bounded by a circle, a radial ray, and a tangent, called a ''chock.'' By dividing a 2D planar rectangle into a background grid, and subtracting Poisson disks ...

Non-linear optimization is essential to many areas of geometry processing research. However, when experimenting with different problem formulations or when prototyping new algorithms, a major practical obstacle is the need ...