1971Unpublished venueOpen access

Piecewise linear approximations of fewest line segments

Dan Wilson

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Abstract

Schwerdtfeger has considered the problem of interpolation and curve fitting over a given partition by a sum of continuous sectionally linear functions. He showed how to construct an orthogonal system of these functions over a given partition and how to use this system to obtain an approximation of a given function which is best in the least square sense.

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Schwerdtfeger has considered the problem of interpolation and curve fitting over a given partition by a sum of continuous sectionally linear functions. He showed how to construct an orthogonal system of these functions over a given partition and how to use this system to obtain an approximation of a given function which is best in the least square sense.

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Available abstract

Schwerdtfeger has considered the problem of interpolation and curve fitting over a given partition by a sum of continuous sectionally linear functions. He showed how to construct an orthogonal system of these functions over a given partition and how to use this system to obtain an approximation of a given function which is best in the least square sense.

Key concepts: Piecewise linear function, Partition (number theory), Interpolation (computer graphics), Mathematics, Piecewise, Linear system, Applied mathematics, Approximations of π

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