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Extending and complementing the definition of C 1 surface splines in [Peters '93], the biquartic surface splines improve continuity and shape properties in the case where the user chooses to model entirely with four-sided patches. The splines generalize the construction of C 1 surfaces from tensor-product B-spline control points to a wider class of control meshes capable of outlining arbitrary free-form surfaces in space. Irregular meshes with non quadrilateral cells and more or fewer than fourdoi:10.1016/0010-4485(95)00010-0 fatcat:hv3dalosrjgevaoeiipquqwuua