The general B-spline interpolation method and its application to the modification of curves and surfaces

Direct manipulation of B-spline control points has been used for modifying B-spline curves and surfaces. But, designers usually wish to modify shapes in more direct ways in practical designing situations, such as moving a point on a curve to some desirable location or modifying a tangent vector at some point on a curve into another direction etc. The author will propose a method that enables arbitrary and direct modification of curves by constructing a displacement function. Moreover, a systematic B-spline interpolation method which has enough generality for practical use will be proposed. The method is also available for surfaces and some interesting applications will be shown. (C) 1997 Elsevier Science Ltd.