@inproceedings{ee58a3e0e3314e36aecd32230a35fca0,
title = "Preconditioned iterative methods for high-resolution image reconstruction with multisensors",
abstract = "We study the problem of reconstructing a high-resolution image from multiple undersampled, shifted, degraded frames with subpixel displacement errors. The corresponding reconstruction operator H is a spatially variant operator. In this paper, instead of using the usual zero boundary condition (corresponding to a dark background outside the scene), the Neumann boundary condition (corresponding to a reflection of the original scene at the boundary) is imposed on the images. The resulting discretization matrix of H is a block-Toeplitz-Toeplitz-block-like matrix. We apply the preconditioned conjugate gradient (PCG) method with cosine transform preconditioners to solve the discrete problems. Preliminary results show that the image model under the Neumann boundary condition gives better reconstructed high-resolution images than that under the zero boundary condition, and the PCG method converges very fast.",
keywords = "Block-Toeplitz-Toeplitz-block-like matrix, Cosine transform preconditioner, High-resolution image reconstruction, Neumann boundary condition, Preconditioned conjugate gradient, Regularization",
author = "Chan, \{Raymond H.\} and Chan, \{Tony F.\} and Ng, \{Michael K.\} and Tang, \{Wun Cheung\} and Wong, \{Chiu Kwong\}",
year = "1998",
month = oct,
day = "2",
doi = "10.1117/12.325695",
language = "English",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
pages = "348--357",
editor = "Luk, \{Franklin T.\}",
booktitle = "Advanced Signal Processing Algorithms, Architectures, and Implementations VIII",
address = "United States",
note = "Advance Signal Processing Algorithms, Atchitectures, and Implementations VIII : SPIE's International Symposium on Optical Science, Engineering, and Instrumentation ; Conference date: 22-07-1998 Through 24-07-1998",
}