The Sylvester and Bézout resultant matrices for blind image deconvolution

DOI10.1007/s10851-018-0812-2zbMath1439.13073OpenAlexW2799386366MaRDI QIDQ1799667

Hanan Halawani, Winkler, Joab R.

Publication date: 19 October 2018

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-018-0812-2

zbMATH Keywords

Sylvester matrixBézout matrixblind image deconvolution

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials, factorization in commutative rings (13P05) Numerical linear algebra (65F99)

Uses Software

• Matlab
• MultRoot
• na25

Cites Work

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• Polynomial computations for blind image deconvolution
• Blind image deconvolution using a banded matrix method
• The computation of multiple roots of a polynomial
• An improved non-linear method for the computation of a structured low rank approximation of the Sylvester resultant matrix
• Bernstein-Bézoutian matrices
• Two methods for the calculation of the degree of an approximate greatest common divisor of two inexact polynomials
• Blind image deconvolution through Bezoutians
• The anti-reflective algebra: Structural and computational analysis with application to image deblurring and denoising
• Computing curve intersection by means of simultaneous iterations
• Resultant matrices and the computation of the degree of an approximate greatest common divisor of two inexact Bernstein basis polynomials
• Structured matrix methods for the computation of multiple roots of a polynomial
• A non-linear structure-preserving matrix method for the computation of the coefficients of an approximate greatest common divisor of two Bernstein polynomials
• Synthetic boundary conditions for image deblurring
• The Sylvester Resultant Matrix and Image Deblurring
• Blind image deconvolution via fast approximate GCD
• Structured Matrix Based Methods for Approximate Polynomial GCD
• Deblurring Images
• Structured Total Least Norm for Nonlinear Problems
• A Note on Antireflective Boundary Conditions and Fast Deblurring Models
• Variational Dirichlet Blur Kernel Estimation

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