Conformal geometry is in the core of pure mathematics. Conformal structure is more flexible than Riemaniann metric but more rigid than topology. Conformal geometric methods have p...
In this paper a method is presented to fair the limit surface of a subdivision algorithm around an extraordinary point. The eigenvalues and eigenvectors of the subdivision matrix d...
We present a shape deformation approach which preserves volume, prevents self-intersections and allows for exact control of the deformation impact. The volume preservation and prev...
Wolfram von Funck, Holger Theisel, Hans-Peter Seid...
We present C1 methods for either interpolating data or for fitting scattered data associated with a smooth function on a two-dimensional smooth manifold Ω embedded into R3 . The ...
Abstract. In this work we focus on approximations of continuous harmonic functions by discrete harmonic functions based on the discrete Laplacian in a triangulation of a point set....
Tom Bobach, Gerald E. Farin, Dianne Hansford, Geor...
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
We argue that the mathematics developed for the semantics of computer languages can be fruitfully applied to problems in human communication and action.