Cubic splines on uniform meshes
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A very simple procedure is presented for constructing cubic splines, periodic or nonperiodic, on uniform meshes. Arcs of two cubics suffice to construct a basis of cardinal splines. An algorithm is given which requires only minimal storage and computation and permits easy trade-off of one against the other.
[1] J. L. Walsh,et al. The theory of splines and their applications , 1969 .