Results 21 to 30 of about 8,329 (301)
Spline Smoothing: A Special Case of Diffusion Smoothing [PDF]
Procedings of the Alvey Vision Conference 1989, 1989 Diffusion Smoothing (DS) implements the smoothing by directly solving a boundary value problem of the diffusion equation — = b V2u with explicit or implicit numerical schemes, it provides a uniform theoretical base for some other smoothing methods. It has shown that the elegant Gaussian smoothing (GS) is equivalent to the initial value problem of DS ...
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Two-Stage Spline-Approximation with an Unknown Number of Elements in Applied Optimization Problem of a Special Kind [PDF]
Mathematics and Statistics, 2021 Being a continuation of the paper published in Mathematics and Statistics, vol. 7, No. 5, 2019, this article describes the algorithm for the first stage of spline- approximation with an unknown number of elements of the spline and constraints on its parameters. Such problems arise in the computer-aided design of road routes and other linear structures.
V. I. Struchenkov, D. A. Karpov
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Axioms, 2015 Conventional splines offer powerful means for modeling surfaces and volumes in three-dimensional Euclidean space. A one-dimensional quaternion spline has been applied for animation purpose, where the splines are defined to model a one-dimensional ...
Wei Zeng +2 more
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Mathematical approximator based on basic spline approximation [PDF]
E3S Web of ConferencesThe article considers the problem of constructing a mathematical piecewise linear approximator based on approximation by basis splines. An algorithm has been developed designed to implement a class of special functions and create parallel ...
Turdimatov Mamirjon +5 more
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Advances in Difference Equations, 2020 A spline is a piecewise defined special function that is usually comprised of polynomials of a certain degree. These polynomials are supposed to generate a smooth curve by connecting at given data points.
Muhammad Kashif Iqbal +3 more
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Metals, 2022 The classic finite difference method (FDM) has been successfully adopted in the simulation of dendritic solidification, which is based on phase-field theory. Nevertheless, special strategies of boundary integral and projection are required for applying a
Jiangping Xu +5 more
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Reconstruction Algorithm of Signals from Special Samples in Spline Spaces [PDF]
, 2005 In this paper, we introduce integral sampling and study the reconstruction of signals based on non-uniform average samples in spline subspace. By using a new method, we obtain a new reconstruction formula.
Jun Xian, Degao Li
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The Hodrick-Prescott Filter: A special case of penalized spline smoothing
Electronic Journal of Statistics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paige, Robert L., Trindade, A. Alexandre
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Exponential Pseudo-Splines: looking beyond Exponential B-splines [PDF]
, 2016 Pseudo-splines are a rich family of functions that allows the user to meet various demands for balancing polynomial reproduction (i.e., approximation power), regularity and support size.
Gemignani L +5 more
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Special Spline Approximation in CAD Systems of Linear Structure Routing [PDF]
Mathematics and Statistics, 2019 This article deals with the problem of approximation of plane curves defined by a sequence of points by a spline of a given type. This task arises when developing methods for computer-aided design of linear structures: railways and roads, trenches for laying pipelines, canals, etc.
D. A. Karpov, V. I. Struchenkov
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