Algorithmic blending (Q1803996)

An algorithm is given by wich one can obtain a 4-sided \(C^ 1\) surface patch. The algorithm can be used to interpolate 4 arbitrary polynomial boundary curves together with corresponding tangent planes. The method presented can be generalized to produce \(C^ K\) surfaces which are piecewise polynomial of degree \(2k+1\) or higher and which interpolate arbitrary \(C^ K\) boundary information. Furthermore the method can be modified to produce triangular patches to interpolate arbitrary \(C^ K\) information along their boundaries.