Results 11 to 20 of about 11,116 (261)

Convergence Analysis of Cubic Spline Function with Fractional Degree and Applications [PDF]

open access: yesمجلة 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
doaj   +1 more source

Smoothing data series by means of cubic splines: quality of approximation and introduction of a repeating spline approach [PDF]

open access: yesAtmospheric Measurement Techniques, 2017
Cubic splines with equidistant spline sampling points are a common method in atmospheric science, used for the approximation of background conditions by means of filtering superimposed fluctuations from a data series.
S. Wüst   +7 more
doaj   +1 more source

Methods of Spline Functions in Solving Problems of Telecommunication and Information Technologies

open access: yesProceedings of the International Conference on Applied Innovations in IT, 2023
The solution to problems of telecommunications and information technologies using spline approximation and spline extrapolation based on real and complex spline functions is considered.
Irina Strelkovskaya   +2 more
doaj   +1 more source

Bivariate segment approximation and splines [PDF]

open access: yesAdvances in Computational Mathematics, 1996
The problem to determine partitions of a given rectangle which are optimal for segment approximation (e.g., by bivariate piecewise polynomials) is investigated. We give criteria for optimal partitions and develop algorithms for computing optimal partitions of certain types.
Nürnberger, Günther   +2 more
openaire   +4 more sources

An Iterative Method Based on the Marginalized Particle Filter for Nonlinear B-Spline Data Approximation and Trajectory Optimization

open access: yesMathematics, 2019
The B-spline function representation is commonly used for data approximation and trajectory definition, but filter-based methods for nonlinear weighted least squares (NWLS) approximation are restricted to a bounded definition range.
Jens Jauch   +3 more
doaj   +1 more source

Optimal Approximation of Biquartic Polynomials by Bicubic Splines

open access: yesEPJ Web of Conferences, 2018
Recently an unexpected approximation property between polynomials of degree three and four was revealed within the framework of two-part approximation models in 2-norm, Chebyshev norm and Holladay seminorm.
Kačala Viliam, Török Csaba
doaj   +1 more source

Neutrosophic B-spline Surface Approximation Model for 3-Dimensional Data Collection [PDF]

open access: yesNeutrosophic Sets and Systems
Since there are threei membershipi functions: truth, false, and indeterminacyi, geometrical modelingi for B-spline surface approximation including neutrosophic data is particularly difficult to construct.
Siti Nur Idara Rosli   +2 more
doaj   +1 more source

New Cubic B-Spline Approximation for Solving Linear Two-Point Boundary-Value Problems

open access: yesMathematics, 2021
In this study, we introduce a new cubic B-spline (CBS) approximation method to solve linear two-point boundary value problems (BVPs). This method is based on cubic B-spline basis functions with a new approximation for the second-order derivative.
Busyra Latif   +2 more
doaj   +1 more source

Contour Detection of Mammogram Masses Using ChanVese Model and B-Spline Approximation

open access: yesInternational Journal of Interactive Multimedia and Artificial Intelligence, 2017
ChanVese model segmentation has been applied for contour detection of mass region in mammogram in our previous work. Available information of the desired object contour is used, in this paper, for B-spline approximation. The mass region boundary (contour)
Youssef Benyoussef   +2 more
doaj   +1 more source

Perfect spline approximation

open access: yesJournal of Approximation Theory, 2003
Uniqueness and approximation orders of perfect splines are studied in this article. In the main result, upper bounds to the best approximation by perfect splines to continuous functions are provided. Moreover, the approximation results are related to the so-called \(\Sigma\Delta\) modulation of bandlimited univariate signals.
Yingkang Hu, Xiang Ming Yu
openaire   +2 more sources

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