Generation of Curves and Surfaces with Smoothly Varying Curvature Based on Evolutes(2nd Report)

This report presents a method which enables a designer to control a curve shape with smooth curvature variation and also a method for generating a space curve from two projected curves.Acording to designer's indication for changing a tangent direction on a point of a curve and a parameter for displacement along the normal direction, the system generates an evolute consisting of two 2nd-degree rational Bezier curves and displays a curvature profile and a curvature plot of its involute.The desinger decides the curve shape, in real-time observing these results.A space curve is represented as G2 NURBS which is determined from an intersection curve of tabcyl surfaces using its tangent directions, osculating planes and curvature values.