Limit to the detection of Glass patterns in the presence of noise - PubMed

Limit to the detection of Glass patterns in the presence of noise

R K Maloney et al. J Opt Soc Am A. 1987 Dec.

Abstract

A method is developed for quantifying the strength of the moiré effects known as Glass patterns. Unpaired randomly placed dots are added to the pattern while the discriminability d' of the degraded pattern is determined in a yes-no test. For a given discriminability the number of pairs required increases in direct proportion to the number of random dots. A model is developed based on the ideal discrimination of an excess of oriented pairs. Results conforming to Weber's law are predicted; the dependence of d' on the amount of noise and the number of point pairs is also predicted. A numerical constant derived from the model provides a measure of the strength of the moiré effect of a chosen pattern. Note that, for this task, statistical considerations predict Weber's law, not the square-root law, as a limit, and this result holds whenever second-order structure is detected in the image.

Comment in

• Comparative Evaluation of Physical Characteristics and Preclinical Data of a Novel Monodisperse Polycaprolactone Microspheres Filler.

  Chai Y, Li F. Chai Y, et al. Aesthetic Plast Surg. 2022 Apr;46(Suppl 1):225-226. doi: 10.1007/s00266-021-02517-8. Epub 2021 Aug 17. Aesthetic Plast Surg. 2022. PMID: 34405272 No abstract available.

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