Results 11 to 20 of about 10,513 (148)
SURFACE APPROXIMATION OF COASTAL REGIONS: LR B-SPLINE FOR DETECTION OF DEFORMATION PATTERN [PDF]
ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2022 Geospatial data acquisition of terrains produces huge, noisy and scattered point clouds. An efficient use of the acquired data requires structured and compact data representations. Working directly in a point cloud is often not appealing.
G. Kermarrec, V. Skytt, T. Dokken
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Spline Approximation, Part 2: From Polynomials in the Monomial Basis to B-splines—A Derivation
Mathematics, 2021 In a series of three articles, spline approximation is presented from a geodetic point of view. In part 1, an introduction to spline approximation of 2D curves was given and the basic methodology of spline approximation was demonstrated using splines ...
Nikolaj Ezhov +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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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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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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Multidimensional Additive Spline Approximation [PDF]
SIAM Journal on Scientific and Statistical Computing, 1983 We describe an adaptive procedure that approximates a function of many variables by a sum of (univariate) spline functions $s_m $ of selected linear combinations $a_m \cdot x$ of the coordinates \[ \phi (x) = \sum_{1 \leqq m \leqq M} {s_m ( a_m \cdot x)}.
Friedman, Jerome H. +2 more
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Methods of Spline Functions in Solving Problems of Telecommunication and Information Technologies
Proceedings 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
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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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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 ...
Ghosh, Sunayana +2 more
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Biquadratic Spline Approximations
Publications of the Research Institute for Mathematical Sciences, 1984 We shall consider two kinds of spline approximations over a uniform mesh. The first of them is mid-point spline interpolation and the second is histospline approximation. Our methods don't need any knowledge of derivative values, that is, end conditions are homogeneous ones dealing with function values.
Sakai, Manabu, Usmani, Riaz A.
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