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Image Interpolation with Geometric Contour Stencils [PDF]

open access: yesImage Processing On Line, 2011
We consider the image interpolation problem where given an image vm,n with uniformly-sampled pixels vm,n and point spread function h, the goal is to find function u(x,y) satisfying vm,n = (h*u)(m,n) for all m,n in Z.
Pascal Getreuer
doaj   +2 more sources

On a geometric approach to the estimation of interpolation projectors

open access: yesМоделирование и анализ информационных систем, 2023
Suppose $\Omega$ is a closed bounded subset of ${\mathbb R}^n,$ $S$ is an $n$-dimensional non-degenerate simplex, $\xi(\Omega;S):=$ min {$\sigma\geqslant 1: \Omega\subset \sigma S$}.
Mikhail V. Nevskii, Alexey Y. Ukhalov
doaj   +3 more sources

High Accuracy Geometric Hermite Interpolation [PDF]

open access: yesComputer Aided Geometric Design, 1987
In natürlicher Verallgemeinerung der Hermiteschen Standardinterpolation werden für parametrisierte ebene Kurven interpolierende kubische Splines p(i) bestimmt. Dabei sind die Knotenpunkte und in jedem Knotenpunkt Tangente und Krümmung vorgeschrieben. Die Komponenten von p(i) sind kubische Polynome auf den Parameterintervallen \((i,i+1)\).
Carl R. de Boor, Klaus Höllig
exaly   +3 more sources

Geometric Estimates in Interpolation on an n-Dimensional Ball

open access: yesМоделирование и анализ информационных систем, 2019
Suppose \(n\in {\mathbb N}\). Let \(B_n\) be a Euclidean unit ball in \({\mathbb R}^n\) given by the inequality \(\|x\|\leq 1\), \(\|x\|:=\left(\sum\limits_{i=1}^n x_i^2\right)^{\frac{1}{2}}\).
Mikhail V. Nevskii
doaj   +4 more sources

Geometric Interpolation by Planar Cubic Polynomial Curves [PDF]

open access: yesComputer Aided Geometric Design, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jernej Kozak, Marjeta Knez
exaly   +3 more sources

Geometric Estimates in the Polynomial Interpolation

open access: yesМоделирование и анализ информационных систем, 2011
We prove some new inequalities for the norms of projections due to the polynomial interpolation of continuous functions of n variables.
M. V. Nevskii
doaj   +1 more source

Fractal interpolation-based micro-surface reconstruction method for composite pore walls

open access: yesXibei Gongye Daxue Xuebao, 2023
The pore wall morphology of carbon fiber reinforced composite (CFRP) laminates is one of the key factors to determine their service performance. However, due to the direction angle of the material fibers, the original micro surface morphology of the pore
HU Wenlong   +4 more
doaj   +1 more source

Use of interpolation methods for modeling the stress-strain state of operated oil storage tanks

open access: yesStructural Mechanics of Engineering Constructions and Buildings, 2023
The aim of the research is the comparison of two approaches for computer modeling of the stress-strain state of thin-walled shells of engineering structures, considering the imperfections of the geometric shapes arising due to their operation. The object
Evgeniy V. Konopatskiy   +2 more
doaj   +1 more source

Geometric Conditions for Interpolation [PDF]

open access: yesProceedings of the American Mathematical Society, 1983
Let { z n
Belna, C. L., Obaid, S. A., Rung, D. C.
openaire   +2 more sources

A New Definition of the Dual Interpolation Curve for CAD Modeling and Geometry Defeaturing

open access: yesMathematics, 2023
The present paper provides a new definition of the dual interpolation curve in a geometric-intuitive way based on adaptive curve refinement techniques.
Baotao Chi   +5 more
doaj   +1 more source

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