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• W2338481370 startingPage "3301" @default.
• W2338481370 abstract "Because the relation between the arc length s and curve parameter u cannot be represented by explicit function for most of the curves, it is difficult to consider the accuracy, robustness, and computational efficiency for most of the parametric interpolation, especially when the curves are complex or extremes. Therefore, an off-line fitting interpolation method by using nonuniform rational basis spline is presented in this paper. As nonuniform rational basis spline has many geometry implementation tools and numerous good properties as compared to the polynomial, the required fitting accuracy can be obtained more easily than with polynomial. After the de Boor method is applied, the computational load of nonuniform rational basis spline is decreased as compared to the Taylor approximation and the higher order polynomial fitting method. In order to obtain the proper s-u fitting nonuniform rational basis spline and reduce the computational load of the fitting process, the sampled s-u data points are divided according to the properties of nonuniform rational basis spline, and in each segment, the knot vectors, control points, and weights are calculated by the iterative-optimization method. Then the s-u nonuniform rational basis spline can be applied in real-time interpolation, and the accuracy, robustness, and computational efficiency are demonstrated by simulations and experiments." @default.
• W2338481370 created "2016-06-24" @default.
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• W2338481370 date "2016-04-15" @default.
• W2338481370 modified "2023-10-10" @default.
• W2338481370 title "A parametric interpolation method with minimal feedrate fluctuation by nonuniform rational basis spline" @default.
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• W2338481370 doi "https://doi.org/10.1177/0954406216644473" @default.
• W2338481370 hasPublicationYear "2016" @default.
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