MOVING A B-SPLINE SURFACE TO A CURVE - A TRIMMED SURFACE MATCHING ALGORITHM

For matching two trimmed B-spline surfaces, it is often necessary to m odify a surface locally to match a curve on one surface to a curve on the other surface. Sometimes, tangent or higher derivative constraints are imposed to ensure smoothness across the matching boundary. In thi s paper we present an algorithm for moving a B-spline surface to a B-s pline curve. The key step is the representation of compositions of spl ines and products of splines which we have handled by using an algorit hm of E. Lee. Some numerical examples are given at the end of the pape r. (C) 1997 Elsevier Science Ltd.