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

Eric Clarkson; Harrison Barrett

doi:10.1364/OL.22.000814

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

Eric Clarkson, Harrison Barrett

Medical Imaging

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 language	English (US)
Pages (from-to)	814-815
Number of pages	2
Journal	Optics letters
Volume	22
Issue number	11
DOIs	https://doi.org/10.1364/OL.22.000814
State	Published - Jun 1 1997

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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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.",

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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.

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

Abstract

ASJC Scopus subject areas

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