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Linear/linear rational spline interpolation
Mathematical Modelling and Analysis, 2010 For a strictly monotone function y on [a, b] we describe the construction of an interpolating linear/linear rational spline S of smoothness class C 1. We show that for the linear/linear rational splines we obtain ¦S(xi ) − y(xi )¦8 = O(h 4) on uniform ...
Erge Ideon, Peeter Oja
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Linear interpolation revitalized [PDF]
IEEE Transactions on Image Processing, 2004 We present a simple, original method to improve piecewise-linear interpolation with uniform knots: we shift the sampling knots by a fixed amount, while enforcing the interpolation property. We determine the theoretical optimal shift that maximizes the quality of our shifted linear interpolation.
Thierry Blu +2 more
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Linear Methods for Image Interpolation [PDF]
Image Processing On Line, 2011 We discuss linear methods for interpolation, including nearest neighbor, bilinear, bicubic, splines, and sinc interpolation. We focus on separable interpolation, so most of what is said applies to one-dimensional interpolation as well as N-dimensional ...
Pascal Getreuer
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Fast Linear Interpolation [PDF]
ACM Journal on Emerging Technologies in Computing Systems, 2021 We present fast implementations of linear interpolation operators for piecewise linear functions and multi-dimensional look-up tables. These operators are common for efficient transformations in image processing and are the core operations needed for lattice models like deep lattice networks, a popular machine learning function class for interpretable,
Nathan Zhang +3 more
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Optimal linear interpolation algorithm with fixed delay [PDF]
E3S Web of Conferences, 2023 One of the most important characteristics of satellite navigation receiving equipment is the accuracy of navigation definitions. To improve this characteristic, the paper considers the possibility of using optimal interpolation algorithms with a fixed ...
Cherkasova Anastasia, Shatilov Alexander
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On Optimal Interpolation In Linear Regression
CoRR, 2021 25 pages, 7 figures, to appear in NeurIPS ...
Oravkin, E, Rebeschini, P
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대한환경공학회지, 2023 Purpose : The purpose of this study is to compare single models according to the missing value handling techniques for predicting leachate generation.
Kyung-Min Kim, Johng-Hwa Ahn
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ComTech, 2022 Many world phenomena lead to nonlinear equations systems. For some applications, the non-linear equations which construct the non-linear equations system are interpolation functions.
Nur Rokhman +2 more
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Quadratic Interpolation and Linear Lifting Design
EURASIP Journal on Image and Video Processing, 2007 A quadratic image interpolation method is stated. The formulation is connected to the optimization of lifting steps. This relation triggers the exploration of several interpolation possibilities within the same context, which uses the theory of convex ...
Joel Solé, Philippe Salembier
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Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M. +2 more
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