Articles with "rational basis" as a keyword



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A Unifying Method to Construct Rational Basis Functions for Linear and Nonlinear Systems

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Published in 2018 at "Circuits, Systems, and Signal Processing"

DOI: 10.1007/s00034-017-0683-6

Abstract: This paper proposes a general and unifying method for constructing rational basis functions (RBFs). The proposal is specifically designed for finding characterizing matrices of linear RBF state equations. Analytic expressions for the realization of such… read more here.

Keywords: basis functions; linear nonlinear; method construct; rational basis ... See more keywords
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Nonuniform Rational Basis Spline Interpolation for Off-Axis Aspheric Mirror Grinding Based on Wheel Path Planning

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Published in 2021 at "Mathematical Problems in Engineering"

DOI: 10.1155/2021/6640299

Abstract: Large-diameter aspheric mirrors made of hard and brittle materials suffer from low efficiency in the grinding stage, making them difficult to process. In this study, a nonuniform rational basis spline (NURBS) interpolation method is proposed… read more here.

Keywords: rational basis; nonuniform rational; path; interpolation ... See more keywords