Noniterative methods for image deconvolution

Philip J. Bones; B. L. Satherley; C. R. Parker; Russell W. Watson

doi:10.1117/12.161985

9 November 1993 Noniterative methods for image deconvolution

Philip J. Bones, B. L. Satherley, C. R. Parker, Russell W. Watson

Proceedings Volume 2029, Digital Image Recovery and Synthesis II; (1993) https://doi.org/10.1117/12.161985
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

Three new algorithms for deconvolving image blur are presented. All three are based on the computation of the zeros of an image's z-transform and the separation of the zeros into sets belonging to the image and to the point spread function (psf). The zeros lie on a sheet existing in a four-dimensional space. The first two algorithms are applicable when the psf is known a priori. In Algorithm I portions of the 'zero sheet' are matched using a Euclidean measure, then zeros are selected from the remainder and an image is algebraically reconstructed. In Algorithm II the point zeros of 1-dimensional cuts through Fourier space are matched before reconstructing an image estimate via inverse Fourier transformation. Finally, Algorithm III is applicable when an ensemble of differently blurred images are recorded from the same object (e.g. astronomical speckle images); even through the psf is unknown for each member of the ensemble (i.e. deconvolution is to be 'blind'), parts of the zero sheet corresponding to the actual (unblurred) image can be matched over the ensemble and a reconstruction made by inverse Fourier transformation. Encouraging results have been obtained for Algorithms I and III for small positive images contaminated by small amounts of noise; Algorithm II has been successfully applied to larger images. Algorithms I and III have an inherent advantage over conventional Wiener filtering in that the psf does not need to be known precisely to achieve acceptable results.

Citation Download Citation

Philip J. Bones, B. L. Satherley, C. R. Parker, and Russell W. Watson "Noniterative methods for image deconvolution", Proc. SPIE 2029, Digital Image Recovery and Synthesis II, (9 November 1993); https://doi.org/10.1117/12.161985

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

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
12 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Reconstruction algorithms

Point spread functions

Image restoration

Signal to noise ratio

Convolution

Deconvolution

Speckle

Show All Keywords

Keywords/Phrases

Search In:

Publication Years