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Cited by 270

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Invariant error metrics for image reconstruction

Fienup, J. R.·1997·Applied Optics

Abstract

Expressions are derived for the normalized root-mean-square error of an image relative to a reference image. Different versions of the error metric are invariant to different combinations of effects, including the image's (a) being multiplied by a real or complex-valued constant, (b) having a constant added to its phase, (c) being translated, or (d) being complex conjugated and rotated 180 degrees . Invariance to these effects is particularly important for the phase-retrieval problem. One can also estimate the parameters of those effects. Similarly, two wave fronts can be compared, allowing for arbitrary constant (piston) and linear (tilt) phase terms. One can also include a weighting function. The relation between the error metric and other quality measures is derived.

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Metadata

Authors
Fienup, J. R.
Venue
Applied Optics
Published
1997-11-10
Volume
36
Issue
32
Pages
8352
ISSN
  • 0003-6935 (ISSN-L)
  • 1539-4522
OpenAlex
W2067858689
Cited by
270
References
1
FWCI
0.00
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Invariant error metrics for image reconstruction. https://app.cochat.ai/papers/10.1364/ao.36.008352
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Fienup, J. R. (1997). Invariant error metrics for image reconstruction. Applied Optics. https://doi.org/10.1364/ao.36.008352

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