Two-dimensional joint process lattice for adaptive restoration of images
- 1 July 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Image Processing
- Vol. 1 (3) , 366-378
- https://doi.org/10.1109/83.148609
Abstract
The two dimensional (2D) joint process lattice (TDJPL) and its implementations for image restoration applications are examined. A 2D adaptive lattice algorithm (TDAL) is first developed. Convergence properties of the algorithm are covered for the 2D adaptive lattice least mean squares (TDAL-LMS) case. The complexity of the normalized algorithm is slightly more than that of the TDAL-LMS, but it is a faster-converging algorithm. Implementations of the proposed TDJPL estimator as a 2D adaptive lattice noise canceler and as a 2D adaptive lattice line enhancer are then considered. The performance of both schemes is evaluated using artificially degraded image data at different signal-to-noise ratios (SNRs). The results show that substantial noise reduction has been achieved, and the high improvement in the mean square error, even at very low input SNR, is ensured. The results obtained consistently demonstrate the efficacy of the proposed TDJPL implementations, and illustrate the success in its use for adaptive restoration of images.Keywords
This publication has 15 references indexed in Scilit:
- A new 2-D fast RLS algorithmPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- A neural network learning algorithm for adaptive principal component extraction (APEX)Published by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Compound Gauss-Markov random fields for image estimationIEEE Transactions on Signal Processing, 1991
- Survey of estimation techniques in image restorationIEEE Control Systems, 1991
- Recursive reconstruction of high resolution image from noisy undersampled multiframesIEEE Transactions on Acoustics, Speech, and Signal Processing, 1990
- Linear Prediction TheoryPublished by Springer Nature ,1990
- The two-dimensional adaptive LMS (TDLMS) algorithmIEEE Transactions on Circuits and Systems, 1988
- Two-dimensional linear prediction and its application to adaptive predictive coding of imagesIEEE Transactions on Acoustics, Speech, and Signal Processing, 1984
- Lattice parameter autoregressive modeling of two-dimensional fields--Part I: The quarter-plane caseIEEE Transactions on Acoustics, Speech, and Signal Processing, 1984
- Two-dimensional linear prediction: Autocorrelation arrays, minimum-phase prediction error filters, and reflection coefficient arraysIEEE Transactions on Acoustics, Speech, and Signal Processing, 1980