2006
DOI: 10.1007/s10559-006-0041-3
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Optimizing a mathematical model of a 3D body surface

Abstract: A general method is proposed to select the number and arrangement of horizontal and vertical sections of a surface sufficient to describe this surface by splines of two variables with an accuracy sufficient from the technological point of view. An analytical review is given to methods that can be used to solve the problem posed (spline-interpolation, spline-interlineation of functions, R-functions, the theory of polynomial operator interpolation). The results of a computation experiment are presented.

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“…Economic operators of mixed wavelet approximation of functions of two variables based on Haar wavelets are analyzed in [15,16]. The methods of optimizing the number of experimental data to recover the surface of a three-dimensional body are studied in [27]. The methods considered are applied to optimize the surface of a tailor dummy.…”
Section: Historical Essaymentioning
confidence: 99%
“…Economic operators of mixed wavelet approximation of functions of two variables based on Haar wavelets are analyzed in [15,16]. The methods of optimizing the number of experimental data to recover the surface of a three-dimensional body are studied in [27]. The methods considered are applied to optimize the surface of a tailor dummy.…”
Section: Historical Essaymentioning
confidence: 99%