Preconditioned iterative methods for high-resolution image reconstruction with multisensors

Raymond Hon-fu Chan; Tony F. Chan; Michael K. Ng; Wun-Cheung Tang; Chiu-Kwong T. Wong

doi:10.1117/12.325695

2 October 1998 Preconditioned iterative methods for high-resolution image reconstruction with multisensors

Raymond Hon-fu Chan, Tony F. Chan, Michael K. Ng, Wun-Cheung Tang, Chiu-Kwong T. Wong

Proceedings Volume 3461, Advanced Signal Processing Algorithms, Architectures, and Implementations VIII; (1998) https://doi.org/10.1117/12.325695
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

Abstract

We study the problem of reconstructing a high-resolution image from multiple undersampled, shifted, degraded frames with subpixel displacement errors. The corresponding reconstruction operators H is a spatially variant operator. In this paper, instead of using the usual zero boundary condition, the Neumann boundary condition 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 preconditioner to solve the discrete problems. Preliminary results how 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.

Citation Download Citation

Raymond Hon-fu Chan, Tony F. Chan, Michael K. Ng, Wun-Cheung Tang, and Chiu-Kwong T. Wong "Preconditioned iterative methods for high-resolution image reconstruction with multisensors", Proc. SPIE 3461, Advanced Signal Processing Algorithms, Architectures, and Implementations VIII, (2 October 1998); https://doi.org/10.1117/12.325695

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