A G(1) connection around complicated curve meshes using C-1 NURBS boundarygregory patches

A method to design complicated free-form surfaces using a curve mesh is a v ery effective way to design a shape intuitively. When a user designs a curv e mesh, it is important that the user can concentrate on shape modeling wit hout considering the type of curves and the equations of surfaces interpola te an area of the curve mesh. One of the merits of using a NURBS curve is t hat various shapes such as arcs and free-form curves can be represented by the same equation. Therefore, a user can design curve meshes without taking type of curves and/or special features into consideration. However, it is difficult to interpolate the area of curve meshes with NURBS surfaces smoot hly. In this paper, we propose a method to interpolate and connect complica ted curve meshes with G(1) continuity by using C-1 continuous NURBS Boundar y Gregory patch representation. (C) 2001 Elsevier Science Ltd. All rights r eserved.