High-resolution color image reconstruction with Neumann boundary conditions

High-resolution color image reconstruction with Neumann boundary conditions

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Article ID: iaor20022502
Country: Netherlands
Volume: 103
Issue: 1
Start Page Number: 99
End Page Number: 113
Publication Date: Mar 2001
Journal: Annals of Operations Research
Authors: ,
Keywords: Image recognition
Abstract:

This paper studies 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. Numerical examples are given to illustrate the fast convergence of the preconditioned conjugate gradient method.

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