In this paper we present a local fitting algorithm for converting smooth planar curves to Bsplines. For a smooth planar curve a set of points together with their tangent vectors a...
In this paper a method is presented to fair the limit surface of a subdivision algorithm locally around an extraordinary point. The dominant six eigenvalues of the subdivision mat...
We analyze the class of surfaces which are equipped with rational support functions. Any rational support function can be decomposed into a symmetric (even) and an antisymmetric (...
Geometric constraints have proved to be helpful for shape modeling. Moreover, they are efficient aids in controlling deformations and enhancing animation realism. The present pape...
In this paper, we describe a method for exact evaluation of a limit mesh defined via subdivision and its associated tangent vectors on a uniform grid of any size. Other exact eval...
In this paper we present a robust approach to construct a map between two triangulated meshes, M and M' of arbitrary and possibly unequal genus. We introduce a novel initial ...
In the paper, the geometric Lagrange interpolation by quadratic parametric patches is considered. The freedom of parameterization is used to raise the number of interpolated point...