Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Restoration of images with missing high-frequency components by minimizing the L1 norm of the solution vector

Not Accessible

Your library or personal account may give you access

Abstract

A novel algorithm for restoring an optical signal of spatial finite extent, which is subjected to low-pass frequency filtering, is presented. The problem is treated as an algebraic image restoration problem. The algorithm minimizes the L1 norm of the solution vector, subject to the constraints that the solution amplitude values are non-negative and bounded. Physically acceptable solutions of the resulting ill-posed system of equations are obtained by replacing the system by an approximate one of smaller rank. Numerical results show that this algorithm compares favorably with other known methods. Comments and conclusions are given.

© 1985 Optical Society of America

Full Article  |  PDF Article
More Like This
Digital image restoration using quadratic programming

N. N. Abdelmalek and T. Kasvand
Appl. Opt. 19(19) 3407-3415 (1980)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (24)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved