A bound on null functions for digital imaging systems with positivity constraints

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

There is an upper bound for the L1 norm of the difference of two nonnegative object functions when they both produce the same data in a digital imaging system. This bound is achieved for a certain class of systems and an arbitrary nonnegative object. For the L2 norm of the difference, with the same conditions on the object functions, there is no upper bound.

Original languageEnglish (US)
Pages (from-to)814-815
Number of pages2
JournalOptics Letters
Volume22
Issue number11
StatePublished - Jun 1 1997

Fingerprint

norms

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

A bound on null functions for digital imaging systems with positivity constraints. / Clarkson, Eric W; Barrett, Harrison H.

In: Optics Letters, Vol. 22, No. 11, 01.06.1997, p. 814-815.

Research output: Contribution to journalArticle

@article{c3953628897e48f7833814fc327cf3a6,
title = "A bound on null functions for digital imaging systems with positivity constraints",
abstract = "There is an upper bound for the L1 norm of the difference of two nonnegative object functions when they both produce the same data in a digital imaging system. This bound is achieved for a certain class of systems and an arbitrary nonnegative object. For the L2 norm of the difference, with the same conditions on the object functions, there is no upper bound.",
author = "Clarkson, {Eric W} and Barrett, {Harrison H}",
year = "1997",
month = "6",
day = "1",
language = "English (US)",
volume = "22",
pages = "814--815",
journal = "Optics Letters",
issn = "0146-9592",
publisher = "The Optical Society",
number = "11",

}

TY - JOUR

T1 - A bound on null functions for digital imaging systems with positivity constraints

AU - Clarkson, Eric W

AU - Barrett, Harrison H

PY - 1997/6/1

Y1 - 1997/6/1

N2 - There is an upper bound for the L1 norm of the difference of two nonnegative object functions when they both produce the same data in a digital imaging system. This bound is achieved for a certain class of systems and an arbitrary nonnegative object. For the L2 norm of the difference, with the same conditions on the object functions, there is no upper bound.

AB - There is an upper bound for the L1 norm of the difference of two nonnegative object functions when they both produce the same data in a digital imaging system. This bound is achieved for a certain class of systems and an arbitrary nonnegative object. For the L2 norm of the difference, with the same conditions on the object functions, there is no upper bound.

UR - http://www.scopus.com/inward/record.url?scp=0031169456&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031169456&partnerID=8YFLogxK

M3 - Article

C2 - 18185671

AN - SCOPUS:0031169456

VL - 22

SP - 814

EP - 815

JO - Optics Letters

JF - Optics Letters

SN - 0146-9592

IS - 11

ER -