Abstract: This paper is devoted to the shape control of B-spline curves achieved by the modification of one of its knot values. At first those curves are described along which the points of a B-spline curve move under the modification of a knot value. Then we show that the one-parameter family of k-th order B-spline curves obtained by modifying a knot value has an envelope which is also a B-spline curve of order k-1.
Keywords: B-spline curves
Classification (MSC2000): 53A04; 68U05
Full text of the article will be available in mid of 2003.