In recent work nonlinear subdivision schemes which operate on manifold-valued data have been successfully analyzed with the aid of so-called proximity conditions bounding the diffe...
We describe a new method for constructing a sequence of refined polygons, which starts with a sequence of points and associated normals. The newly generated points are sampled fr...
Subdivision surfaces are generated by repeated approximation or interpolation from initial control meshes. In this paper, two new nonlinear subdivision schemes, face based subdivi...
The quantization based filtering method (see [13], [14]) is a grid based approximation method to solve nonlinear filtering problems with discrete time observations. It relies on o...
We present a method for solving arbitrary systems of N nonlinear polynomials in n variables over an n-dimensional simplicial domain based on polynomial representation in the baryce...
Martin Reuter, Tarjei S. Mikkelsen, Evan C. Sherbr...