A Fast Algorithm for High-Resolution Color Image Reconstruction with Multisensors
by
Raymond Chan
Chinese University of Hong Kong
Coauthors: Michael K. Ng (The University of Hong Kong), Wilson C. Kwan (The University of Hong Kong)

We discuss the application of preconditioned conjugate gradient methods in high resolution color image reconstruction problems. The high resolution color images are reconstructed from multiple undersampled, shifted, degraded color frames with subpixel displacements. The resulting degradation matrices are spatially variant. To capture the changes of reflectivity across color channels, the weighted H₁ regularization functional is used in the Tikhonov regularization. The Neumann boundary condition is also employed to reduce the boundary artifacts. The preconditioners are derived by taking the cosine transform approximation of the degradation matrices. We will show that the spectra of the preconditioned normal systems are clustered around 1 when the errors in the subpixel displacements are sufficiently small. Numerical examples are given to illustrate the fast convergence of the preconditioned conjugate gradient method.

http://www.math.cuhk.edu.hk/~rchan

Date received: February 8, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caen-13.