A New Method for the Construction of Blend Surfaces

       The blending of parametric surfaces is an important subject in geometry modeling. Since most of the CAD/CAM surfaces are expressed in parametric form and blend surfaces are often occurred in shape design, it is in urgent need of developing the blending techniques for parametric surfaces. This thesis develops a very easy and flexible procedure to blend parametric surfaces. In this procedure, a new method called the MINACP method is provided. This new method could prevent the corresponding blends from the undesirable oscillation. As the blend is derived, the normals and offsets of the blend surface can also be calculated exactly.
      This procedure generally guarantees the tangent plane continuity along the boundary curves on　compound surfaces. There are many cases provided to show this design procedure. As a result, it is easy to apply this blending procedure to an exiting CAD/CAM system.