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Linear/linear rational spline interpolation

open access: yesMathematical 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
doaj   +4 more sources

Quadratic/linear rational spline interpolation

open access: yesMathematical Modelling and Analysis, 2013
We describe the construction of an interpolating quadratic/linear rational spline S of smoothness class C 2 for a strictly convex (or strictly concave) function y on [a, b].
Erge Ideon, Peeter Oja
doaj   +4 more sources

Three-Dimensional Array Interpolation Imaging Algorithm of Water Holdup by the Capacitance Array Tool of Oil–Water Two-Phase Flow in Horizontal Wells [PDF]

open access: yesSensors
Due to the gravitational differentiation effect, the oil–water two-phase flow in the horizontal well exhibits significant asymmetry and inhomogeneity in terms of phase distribution and velocity field.
Doujuan Zhang   +9 more
doaj   +2 more sources

An Improved Diffusion Model for Generating Images of a Single Category of Food on a Small Dataset [PDF]

open access: yesFoods
In the era of the digital food economy, high-fidelity food images are critical for applications ranging from visual e-commerce presentation to automated dietary assessment.
Zitian Chen   +3 more
doaj   +2 more sources

Fast Linear Interpolation [PDF]

open access: yesACM 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
openaire   +1 more source

Optimal linear interpolation algorithm with fixed delay [PDF]

open access: yesE3S 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
doaj   +1 more source

Linear Interpolation Revitalized [PDF]

open access: yesIEEE 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
openaire   +2 more sources

Development of Forecasting Model for Machine Learning-Based Landfill Leachate Generation Using Linear Interpolation

open access: yes대한환경공학회지, 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
doaj   +1 more source

The Solution of Non-Linear Equations System Containing Interpolation Functions by Relaxing the Newton Method

open access: yesComTech, 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
doaj   +1 more source

TOPOLOGICAL 3D ELEVATION DATA INTERPOLATION OF ASTER GDEM BASED ON CONTINUOUS DEFORMATION [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2018
In Geographic Information Science, polynomial methods such as linear estimation and non-polynomial methods including Inverse Distance Weighting and Kriging have been used for elevation data interpolation. In this paper, 3D data interpolation using linear
A. Jamali, F. A. Castro
doaj   +1 more source

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