Spline Curves and Spline Surfaces
In the previous chapter, we used cubic parabolas (Equation 22) to interpolate the line of intersection P 1 P 2 of the graph Γ with a vertical plane ψ Analogously, a patch Ψ on Γ, which is roughly approximated by two triangles, can be replaced by a cubic graph that consists of all the cubic parabolas we get when we vary the plane ψ Such a graph is called an “interpolating surface.”
KeywordsControl Point Tangent Vector Spline Interpolation Function Graph Spline Curve
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