Wire-frame method for blending surface design

This paper introduces a wire-frame method for the generation of blending surfaces. It is a numerical approach to the design of surfaces that smoothly join two or more given surfaces. The blending surface generated by the wire-frame method is composed of a set of bicubic patches in parametric forms. The wire-frame method first constructs a set of wire-frames. Each element of the wire-frame is modeled as an elastic beam subject to external load. The stiffness of the beam and the distribution of the load are used to control the shape of the blending surfaces. The shape of the wire-frames can then be computed from the deflection of the beams. After the wire-frame is constructed, a set of bicubic patch can then be computed from the interpolating polynomials using the tensor product rule.