Abstract
Weighted v-spline curves are used here with a new technique that forms a parametric surface interpolant to a given rectangular set of control points. The shape of the resulting piecewise bicubic surface can be interactively changed by manipulating the control points or by modifying the interval or point tension parameters. The cardinal product representation is equivalent to forming a network of interpolating weighted v-spline curves through the control points and then using blending functions that are cardinal weighted v-splines with the same shape control parameters of the network curves. This differs from the spline blending technique which uses blending functions that are generally of a different type than the network curves, namely the cardinal C 2 cubic splines, which do not provide any tension controls.
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