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
doaj +1 more source
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
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
core +4 more sources
Accuracy of compact-stencil interpolation algorithms for unstructured mesh finite volume solver
This study considers the accuracy of cell-to-face centre interpolation of convected quantities in unstructured finite volume meshes with cell-centred storage of variables.
Adek Tasri, Anita Susilawati
doaj +1 more source
Video Frame Interpolation Based on Symmetric and Asymmetric Motions
Video frame interpolation is the task to synthesize intermediate frames between consecutive frames to increase the frame rate. Recently, various deep-learning techniques have been proposed to interpolate intermediate frames more reliably.
Whan Choi, Yeong Jun Koh, Chang-Su Kim
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
core +7 more sources

