The Effect of Knot Modifications on the Shape of B-spline Curves
Journal for geometry and graphics, Tome 5 (2001) no. 2, pp. 111-12
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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.