Modern control theory (3rd ed.)
Modern control theory (3rd ed.)
Application of ADI Iterative Methods to the Restoration of Noisy Images
SIAM Journal on Matrix Analysis and Applications
Solution of the matrix equation AX + XB = C [F4]
Communications of the ACM
A Self-Referencing Level-Set Method for Image Reconstruction from Sparse Fourier Samples
International Journal of Computer Vision
Fast Evolution of Image Manifolds and Application to Filtering and Segmentation in 3D Medical Images
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Image Processing
Adaptive wavelet thresholding for image denoising and compression
IEEE Transactions on Image Processing
An EM algorithm for wavelet-based image restoration
IEEE Transactions on Image Processing
Tracking the Left Ventricle in Ultrasound Images Based on Total Variation Denoising
IbPRIA '07 Proceedings of the 3rd Iberian conference on Pattern Recognition and Image Analysis, Part II
A Novel Approach for Bayesian Image Denoising Using a SGLI Prior
PCM '09 Proceedings of the 10th Pacific Rim Conference on Multimedia: Advances in Multimedia Information Processing
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This paper addresses two problems: an image denoising problem assuming dense observations and an image reconstruction problem from sparse data. It shows that both problems can be solved by the Sylvester/Lyapunov algebraic equation. The Sylvester/Lyapunov equation has been extensively studied in Control Theory and it can be efficiently solved by well known numeric algorithms. This paper proposes the use of these equations in image processing and describes simple and fast algorithms for image denoising and reconstruction.