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...
In this paper we describe a method for creating sharp features and trim regions on multiresolution subdivision surfaces along a set of user-defined curves. Operations such as engr...
Henning Biermann, Ioana M. Martin, Denis Zorin, Fa...
We present a novel geometric algorithm to construct a smooth surface that interpolates a triangular or a quadrilateral mesh of arbitrary topological type formed by n vertices. Alt...
The objective of this research is to apply the subdivision surface for surface fitting problems when generating surfaces from data points or polyhedral models. The basic idea is t...
In this paper we introduce a new surface representation, the displaced subdivision surface. It represents a detailed surface model as a scalar-valued displacement over a smooth do...