A G~1 connection around complicated curve meshes using C~1 NURBS Boundary Gregory Patches

摘要

A method to design complicated free-from surfaces using a curve mesh is a very effective way to design a shape intuitively. WHen a user designs a curve mesh, it is important that the user can concentrate on shape modeling without considering the type of curves and the equations of surfaces interpolate an area of the curve mesh. One of the merits of using a NURBS curve is that 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 smoothly. In this paper, we propose a method to interpolate and connect complicated curve meshes with G~1 continuity by using C~1 continuous NURBS Boundary Gregory patch representation.