Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
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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Some applications of Sigmoid functions [PDF]
In numerical analysis, the process of fitting a function via given data is called interpolation. Interpolation has many applications in engineering and science.
M. A. Jafari, A. Aminataei
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Quadratic Interpolation and Linear Lifting Design
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 ...
Solé Joel, Salembier Philippe
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Linear Methods for Image Interpolation
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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Regular polynomial interpolation and approximation of global solutions of linear partial differential equations [PDF]
We consider regular polynomial interpolation algorithms on recursively defined sets of interpolation points which approximate global solutions of arbitrary well-posed systems of linear partial differential equations.
Kampen, Joerg
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A Unified Framework From Face Image Restoration to Data Augmentation Using Generative Prior
In the domain of data enhancement, image restoration and data augmentation are two tasks gaining increasing attention. Current image restoration models focus on improving clarity using pre-trained generative models, and data augmentation methods try to ...
Jiawei You +4 more
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A FAST MORPHING-BASED INTERPOLATION FOR MEDICAL IMAGES: APPLICATION TO CONFORMAL RADIOTHERAPY
A method is presented for fast interpolation between medical images. The method is intended for both slice and projective interpolation. It allows offline interpolation between neighboring slices in tomographic data.
Hussein Atoui +2 more
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Similarity Analysis of User Trajectories Based on Haversine Distance and Needleman Wunsch Algorithm
: In this paper, we discuss the similarity between two trajectories using the Needleman Wunsch algorithm. The calculation steps are interpolating the trajectory, calculating the distance between the trajectory coordinates, identifying the equivalent ...
Mohammad Jamhuri +2 more
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Generalization of the Kimeldorf-Wahba correspondence for constrained interpolation [PDF]
In this paper, we extend the correspondence between Bayes' estimation and optimal interpolation in a Reproducing Kernel Hilbert Space (RKHS) to the case of linear inequality constraints such as boundedness, monotonicity or convexity. In the unconstrained
Bay, Xavier +2 more
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Linear Interpolation Method for Adversarial Attack [PDF]
Deep neural networks exhibit significant vulnerability in the face of adversarial examples and are prone to attacks.The construction of adversarial examples can be abstracted as an optimization problem that maximizes the objective function.How-ever ...
CHEN Jun, ZHOU Qiang, BAO Lei, TAO Qing
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