Results 21 to 30 of about 3,978,101 (278)

Spline Smoothing: A Special Case of Diffusion Smoothing [PDF]

open access: yesProcedings 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 ...
openaire   +2 more sources

Diffeomorphism Spline

open access: yesAxioms, 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
doaj   +1 more source

Mathematical approximator based on basic spline approximation [PDF]

open access: yesE3S Web of Conferences
The 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
doaj   +1 more source

Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto–Sivashinsky equation

open access: yesAdvances 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
doaj   +1 more source

Application of isogeometric analysis to modeling of elastic deformation in dual phase materials by using statistically similar representative volume element on heterogeneous hardware devices [PDF]

open access: yesComputer Methods in Materials Science, 2015
Statistically Similar Representative Volume Element (SSRVE) is a methodology applied for reduction of complexity of material microstructure representation for dual phase materials like DP steels or composites.
Daniel Bachniak, Łukasz Rauch
doaj   +1 more source

Isogeometric Analysis-Based Solidification Simulation and an Improved Way to Apply Supercooling on Droplet Boundary

open access: yesMetals, 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
doaj   +1 more source

The Hodrick-Prescott Filter: A special case of penalized spline smoothing

open access: yesElectronic Journal of Statistics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paige, Robert L., Trindade, A. Alexandre
openaire   +3 more sources

Cardinal approximation of functions by splines on an interval

open access: yesMathematical Modelling and Analysis, 2009
The cardinal interpolant of functions on the real line by splines is determined by certain formula free of solving large or infinite systems. We apply this formula to functions given on the interval [0,1] introducing special extensions of functions from [
Gennadi Vainikko
doaj   +1 more source

Special Spline Approximation in CAD Systems of Linear Structure Routing [PDF]

open access: yesMathematics 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
openaire   +1 more source

Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface

open access: yesJournal of Applied Mathematics, 2014
A biquartic rational interpolation spline surface over rectangular domain is constructed in this paper, which includes the classical bicubic Coons surface as a special case.
Xinru Liu, Yuanpeng Zhu, Shengjun Liu
doaj   +1 more source

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