Efficient regularization parameter estimation based incomplete orthogonalization method

Kai Xie

doi:10.1117/12.837781

30 November 2009 Efficient regularization parameter estimation based incomplete orthogonalization method

Kai Xie

Proceedings Volume 7506, 2009 International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments; 75062G (2009) https://doi.org/10.1117/12.837781
Event: International Conference on Optical Instrumentation and Technology, 2009, Shanghai, China

Abstract

The regularization parameter plays a crucial role in the quality of a restored super-resolution image. In this paper, we propose a method for parametric regularization based on the incomplete orthogonalization method. The method truncates the Arnoldi recurrence. Specifically, an integer k is selected so that it is necessary to keep only the k previous orthogonal vectors for Arnoldi process. The others are not needed in the process and may be discarded. The method can be inexpensively computed by the incomplete orthogonal process. Thus a convenient way for choosing the regularization parameter is presented.

Citation Download Citation

Kai Xie "Efficient regularization parameter estimation based incomplete orthogonalization method", Proc. SPIE 7506, 2009 International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments, 75062G (30 November 2009); https://doi.org/10.1117/12.837781

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available