Piecewise algebraic surface patches

A technique is presented for modelling with piecewise algebraic surface patches. Each surface patch is defined within a tetrahedral lattice of control points. The shape of the surface is modified by adjusting the weights of the control points. This scheme makes it possible to piece together two algebraic surface patches with any degree of cross-boundary derivative continuity. The application of piecewise algebraic surface patches to solid modelling is discussed.

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