Polynomial Curve and Surface Fitting

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Description

The main problems of numerical analysis involve performing analytical operations, such as integration, differentiation, finding zeroes, interpolation, and so forth, of a function when all the data available are some samples of the function. Therefore, the purpose of this paper is to investigate the following problem: given a set of data points (x[sub i], y[sub i]) which are samples of some function, determine an approximating function. Further, extend the problem to that of determining an approximating function for a surface given some samples (x[sub i], y[sub j], z[sub ij]) of the surface.

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vi, 77 leaves

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Capps, Ann Dowdy January 1968.

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  • Capps, Ann Dowdy

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Description

The main problems of numerical analysis involve performing analytical operations, such as integration, differentiation, finding zeroes, interpolation, and so forth, of a function when all the data available are some samples of the function. Therefore, the purpose of this paper is to investigate the following problem: given a set of data points (x[sub i], y[sub i]) which are samples of some function, determine an approximating function. Further, extend the problem to that of determining an approximating function for a surface given some samples (x[sub i], y[sub j], z[sub ij]) of the surface.

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vi, 77 leaves

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  • January 1968

Added to The UNT Digital Library

  • Dec. 27, 2012, 10:03 p.m.

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  • Aug. 15, 2013, 12:17 p.m.

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Capps, Ann Dowdy. Polynomial Curve and Surface Fitting, thesis, January 1968; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc130895/: accessed April 24, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .

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