A family of tangent continuous cubic algebraic splines

Abstract

We present an algorithm for creating tangent continuous splines from segments of algebraic cubic curves. The curves used are cubic ovals, and thus are guaranteed convex. Each segment is given by an equation which has five coefficients, thus four degrees of freedom available for shape control. We describe shape handles that work via the coet%cients ta control the curve. Each segment can be chosen to interpolate one more point and slope and has two additional fullness parameters to control the shape. This family of curves naturally contains conic splines as a subfamily. © 1993, ACM. All rights reserved.