Results 21 to 30 of about 1,170,819 (338)
The International Journal of Advanced Manufacturing Technology, 2023 B-spline curve approximation is widely used for fitting linear toolpaths to improve machining quality and efficiency in CNC machining. For a high-quality smoothing method, the control of both approximation error and curve curvature needs to be taken into
Li Hua +4 more
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Approximation by Conic Splines [PDF]
Mathematics in Computer Science, 2007 We show that the complexity of a parabolic or conic spline approximating a sufficiently smooth curve with non-vanishing curvature to within Hausdorff distance $\varepsilon$ is $c_1\varepsilon^{-\frac{1}{4}} + O(1)$, if the spline consists of parabolic arcs, and $c_2\varepsilon^{-\frac{1}{5}} + O(1)$, if it is composed of general conic arcs of varying ...
Sunayana Ghosh +2 more
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Optimization of spline parameters in approximation of multivalued functions
Российский технологический журнал, 2023 Objectives. Methods for spline approximation of a sequence of points in a plane are increasingly used in various disciplines. A spline is defined as a single-valued function consisting of a known number of repeating elements, of which the most widely ...
D. A. Karpov, V. I. Struchenkov
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Differentiable Spline Approximations
CoRR, 2021 9 pages, accepted in Neurips ...
Minsu Cho +8 more
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Spline approximation of multivalued functions in linear structures routing
Российский технологический журнал, 2022 Objectives. The theory and methods of spline approximation of plane curves given by a sequence of points are currently undergoing rapid development.
D. A. Karpov, V. I. Struchenkov
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Cubic B-spline approximation for linear stochastic integro-differential equation of fractional order
Journal of Computational and Applied Mathematics, 2020 In this paper, the cubic B-spline collocation method is used for solving the stochastic integro-differential equation of fractional order. we show that stochastic integro-differential equation of fractional order is equivalent to a modified stochastic ...
Farshid Mirzaee, S. Alipour
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On the approximation of bounded functions by trigonometric polynomials in Hausdorff metric [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 The article discusses a method for constructing a spline function to obtain estimates that are exact in order to approximate bounded functions by trigonometric polynomials in the Hausdorff metric.
Sadekova, Ekaterina H.
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A numerical study on time fractional Fisher equation using an extended cubic B-spline approximation
Journal of Mathematics and Computer Science, 2020 A new extended cubic B-spline approximation for the numerical solution of the time-fractional fisher equation is formed and examined. The given non-linear partial differential equation through substitution is converted into a linear partial differential ...
Tayyaba Akram, M. Abbas, Ajmal Ali
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A new deterministic heuristic knots placement for B-Spline approximation
Mathematics and Computers in Simulation, 2020 In this paper, we propose an adaptive knot placement algorithm for B-Spline curve approximation to dense and noisy 2D data points. The proposed algorithm is based on a heuristic rule for knot placement.
D. Michel, A. Zidna
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Convergence Analysis of Cubic Spline Function with Fractional Degree and Applications [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2023 In this paper, a fractional degree cubic spline scheme is proposed and analyzed for fractional order with the multi-term Riemann–Liouvile (R–L) derivatives. For the integral and fractional differential equations, we handle fractional continuity equations
Twana Hidayat +2 more
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