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Fast Kötter–Nielsen–Høholdt interpolation over skew polynomial rings and its application in coding theory
Skew polynomials are a class of non-commutative polynomials that have several applications in computer science, coding theory and cryptography. In...
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Spatial Interpolation
This chapter delves into the topic of spatial interpolation techniques, which are utilized to estimate the value of a data variable at a location...
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Improved digital image interpolation technique based on multiplicative calculus and Lagrange interpolation
Digital imaging is used in variety of applications. Together with the improvements in artificial intelligence and its sub-fields, improving computer...
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A representation of the interpolation polynomial
We provide a decomposition formula for the classical polynomial interpolation operator and obtain the generalized Hermite interpolant through a...
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Sparse Frame-Polynomial Coupling Representation
Frame representation is widely used in data acquisition, processing, and transmission systems. Due to abrupt discontinuity, the corresponding frame...
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Progressive secret image sharing based on Boolean operations and polynomial interpolations
With the expansion of network bandwidth and the rise of social networks, image sharing on open networks has become a trend. The ensuing privacy...
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Image Scaling by de la Vallée-Poussin Filtered Interpolation
We present a new image scaling method both for downscaling and upscaling, running with any scale factor or desired size. The resized image is...
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An IWT Based Reversible Watermarking Scheme Using Lagrange Interpolation Polynomial
Sharing the secret among the partners is an interesting technique that distributes the secret information in several shares for enhancing security....
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RMPIA: a new algorithm for computing the Lagrange matrix interpolation polynomials
Let σ 0 , σ 1 ,⋯, σ n be a set of n + 1 distinct real numbers (i.e., σ i ≠ σ j , for i ≠ j ) and F 0 , F 1 ,⋯ , F n , be given real s × r matrices, we know that there exists...
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High order multiquadric trigonometric quasi-interpolation method for solving time-dependent partial differential equations
In this paper, we propose a high order multiquadric trigonometric quasi-interpolation method for function approximation and derivative approximation...
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Interpolation
This chapter covers linear and non-linear interpolation of scalars, and includes trigonometric and cubic polynomials. It also includes the...
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Interpolation and Quantifiers in Ortholattices
We study quantifiers and interpolation properties in orthologic, a non-distributive weakening of classical logic that is sound for formula validity...
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A secure reversible color image watermarking scheme based on LBP, lagrange interpolation polynomial and weighted matrix
Secure reversible watermarking schemes are essential for image authentication and tamper detection in medical, military and government applications....
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Algorithmic Views of Vectorized Polynomial Multipliers – NTRU
The lattice-based post-quantum cryptosystem NTRU is used by Google for protecting Google’s internal communication. In NTRU, polynomial multiplication...
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Interpolation-based decoding of folded variants of linearized and skew Reed–Solomon codes
The sum-rank metric is a hybrid between the Hamming metric and the rank metric and suitable for error correction in multishot network coding and...
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ENO-based high-order data-bounded and constrained positivity-preserving interpolation
A number of key scientific computing applications that are based upon tensor-product grid constructions, such as numerical weather prediction (NWP)...
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A generalized fuzzy barycentric Lagrange interpolation method for solving two-dimensional fuzzy fractional Volterra integral equations
In this paper, a generalized fuzzy barycentric Lagrange interpolation method is proposed to solve two-dimensional fuzzy fractional Volterra integral...
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An Interpolation Algorithm for Computing Dixon Resultants
Given a system of polynomial equations with parameters, we present a new algorithm for computing its Dixon resultant R. Our algorithm interpolates...