KNOT REMOVAL FOR B-SPLINE CURVES

In this paper the problem of removing one inner knot from the knot seq uence of a B-spline curve is discussed. Doing so, a local (geometric) construction of the new control points from the given ones is first in troduced. Then the degrees of freedom appearing in this general constr uction are determined by minimizing three different norms between the old curve and the new curve. Here the best results are obtained by con sidering the local (continuous) min-max problem. This solution is base d on a variant of the (second) algorithm of Remes.