G1 interpolation of mesh curves

Abstract

The paper studies the interpolation of mesh curves by a G1 smooth surface of rectangular Bézier patches. Two methods are presented, using (a) Bézier patches of degree 6 × 6, and (b) Bézier patches of degree 4 × 4. In the first case, the twists are decoupled, and the algorithm is local. In the second case, the patches are of lower degree, but the algorithm is global. In both cases, the algorithms are stable. © 1994.