Title
A Fast MAP Algorithm for High-Resolution Image Reconstruction with Multisensors
Abstract
In many applications, it is required to reconstruct a high-resolution image from multiple, undersampled and shifted noisy images. Using the regularization techniques such as the classical Tikhonov regularization and maximum a posteriori (MAP) procedure, a high-resolution image reconstruction algorithm is developed. Because of the blurring process, the boundary values of the low-resolution image are not completely determined by the original image inside the scene. This paper addresses how to use (i) the Neumann boundary condition on the image, i.e., we assume that the scene immediately outside is a reflection of the original scene at the boundary, and (ii) the preconditioned conjugate gradient method with cosine transform preconditioners to solve linear systems arising from the high-resolution image reconstruction with multisensors. The usefulness of the algorithm is demonstrated through simulated examples.
Year
DOI
Venue
2001
10.1023/A:1011136812633
Multidim. Syst. Sign. Process.
Keywords
Field
DocType
MAP,regularization,cosine transform,image reconstruction,structured matrices
Conjugate gradient method,Tikhonov regularization,Iterative reconstruction,Mathematical optimization,Discrete cosine transform,Regularization (mathematics),Neumann boundary condition,Maximum a posteriori estimation,Difference-map algorithm,Mathematics
Journal
Volume
Issue
ISSN
12
2
1573-0824
Citations 
PageRank 
References 
25
3.47
10
Authors
2
Name
Order
Citations
PageRank
Ng Michael14231311.70
Andy M. Yip223220.65