A METHOD FOR SHAPE CONTROL AND ENERGY CONTROL IN CURVE DESIGN

Controlling the shape and the strain energy of the interpolating curve can be carried out by controlling the second-order derivative of the interpolating function．This paper deals with the convexity control and the strain energy control of the interpolating curves by controlling the second-order derivative of the rational cubic spline with linear denominator．The algorithm and the conditions for constraining the second-order derivative of the interpolating function to be in the given interval are obtained．