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A method to express complex curves concisely and with high fidelity.

F Bessette·W D Seufert
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Abstract

Piecewise spline interpolation between judiciously selected points on a curve reproduces it with great precision. A number of points much smaller than in current digitization techniques is needed and their positions fully characterize a curve. We present the rules to select the nodal points and we demonstrate that their positions are very sensitive to changes in wave form. They can therefore be used to identify a curve in parts or in its entirety, to provide its mathematical definition.

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F Bessette, W D Seufert. 1985. A method to express complex curves concisely and with high fidelity.. https://doi.org/10.1139/y85-169

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