Three-monotone spline approximation
Journal of Approximation Theory, 2010 Jackson theorems for functions \(f\) whose third order divided differences are always nonnegative are studied. They are approximated by piecewise polynomial splines with minimal defect, and the error is bounded above in a Jackson-type theorem using the fourth modulus of smoothness of \(f\). Such functions are called three-monotone, and so is the spline
G. A. Dzyubenko +2 more
openaire +3 more sources
Spline- and tensor-based signal reconstruction : from structure analysis to high-performance algorithms to multiplatform implementations and medical applications [PDF]
, 2015 The problem of signal reconstruction is of fundamental practical value for many applications associated with the field of signal and image processing.
Morozov, Oleksii
core +1 more source
Smoothing under Diffeomorphic Constraints with Homeomorphic Splines [PDF]
, 2010 In this paper we introduce a new class of diffeomorphic smoothers based on general spline smoothing techniques and on the use of some tools that have been recently developed in the context of image warping to compute smooth diffeomorphisms.
Gadat, Sébastien, Bigot, Jérémie
core +1 more source
Hermite bicubic spline collocation method for Poisson's equations
Journal of Numerical Analysis and Approximation Theory, 2004 In this paper is presented a bicubic spline collocation method for the numerical approximation of the solution of Dirichlet problem for the Poisson's equation.
Mihaela Puşcaş
doaj +2 more sources
Approximation of Double-dimensional Densities of Probabilities by Orthogonal Bases
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2009 Approach to approximation of double-dimensional densities of probabilities in rectangle areas by the families of double-dimensional orthogonal functions created by multiplication of single-dimensional orthogonal functions is studied. Calculation formulas
l. A. Lyozin
doaj +1 more source
Dynamic Programming as a Method of Spline Approximation in the CAD Systems of Linear Constructions
Российский технологический журнал, 2019 Under study is a problem of the line structure routing of roads, railways and other linear constructions. Designing a trace plan and longitudinal profile are considered as non-linear programming tasks.
D. A. Karpov, V. I. Struchenkov
doaj +1 more source
USING SPLINE FUNCTIONS FOR THE SUBSTANTIATION OF TAX POLICIES BY LOCAL AUTHORITIES [PDF]
Annals of the University of Oradea: Economic Science, 2011 The paper aims to approach innovative financial instruments for the management of public resources. In the category of these innovative tools have been included polynomial spline functions used for budgetary sizing in the substantiating of fiscal and ...
Otgon Cristian, Pop Razvan, Bolos Marcel
doaj
Approximation of Vehicle Trajectory with B-Spline Curve
Acta Technologica Agriculturae, 2016 In this contribution, we present the description of a B-spline curve. We deal with creation of its basis function as well as with creation of the curve itself from entered control points.
Páleš Dušan +3 more
doaj +1 more source
An exponential spline approximation for fractional Bagley–Torvik equation
Boundary Value Problems, 2020 In this paper, we approximate the solution of fractional Bagley–Torvik equation by using the exponential spline function and the shifted Grünwald difference operator. The proposed methods reduce to the system of algebraic equations.
Homan Emadifar, Reza Jalilian
doaj +1 more source
The weighted v-spline as a double knot B-spline [PDF]
, 1991 The local support basis representation of the ‘weighted v-spline’ is derived in terms of double knot cubic B-splines, so providing a convenient form for computing and analysing the ...
Gregory, JA, Zhou, J
core +3 more sources