We derive the stability inequality C i cibi for the B-splines bi from the formula for knot insertion. The key observation is that knot removal increases the norm of the B-spline ...
This paper gives an algorithm for computing proper polynomial parametrizations for a particular class of curves. This class is characterized by the existence of a polynomial param...
The matrix forms for curves and surfaces were largely promoted in CAD/CAM. In this paper we have presented two matrix representation formulations for arbitrary degree NURBS curves...
By its dual representation, a developable surface can be viewed as a curve of dual projective 3-space. After introducing an appropriate metric in the dual space and restricting ou...
The concept of stationary scalar subdivision being interpolatory does not always extend immediately to the vector valued case. We introduce the concepts of interpolating and data p...