Parametrization and shape of B-spline curves for CAD

Abstract It is found that Bezier-type B-spline curves cannot, in general, be given an arc length parametrization. In view of this, two ways of choosing knots are discussed: an iterative method and a simple formula. The formula, already published in the context of ab initio design, is found to be useful when applied to interpolating B-apline curves; when the B-spline nodes are used as parameter values, good shape and good parametrization are usually achieved.