Skip to main content

Almost equivalence of combinatorial and distance processes for discrimination in multielement images

Abstract

Under certain experimental conditions, visual discrimination performance in multielement images is closely related to visual identification performance: elements of the image are distinguished only insofar as they appear to have distinct, discrete, internal characterizations. This report is concerned with the detailed relationship between such internal characterizations and observable discrimination performance. Two types of general processes that might underline discrimination are considered. The first is based on computing all possible internal image characterizations that could allow a correct decision, each characterization weighted by the probability of its occurrence and of a correct decision being made. The second process is based on computing the difference between the probabilities associated with the internal characterizations of the individual image elements, the difference quantified naturally with an l (p) norm. The relationship between the two processes was investigated analytically and by Monte Carlo simulations over a plausible range of numbers n of the internal characterizations of each of the m elements in the image. The predictions of the two processes were found to be closely similar. The relationship was precisely one-to-one, however, only for n = 2, m = 3, 4, 6, and for n > 2, m = 3, 4, p = 2. For all other cases tested, a one-to-one relationship was shown to be impossible.

This is a preview of subscription content, access via your institution.

References

  • Beck J (1983) Textural segmentation, second-order statistics, and textural elements. Biol Cybern 48:125–130

    Google Scholar 

  • Beck J, Ambler B (1972) Discriminability of differences in line slope and in line arrangement as a function of mask delay. Percept Psychophys 12:33–38

    Google Scholar 

  • Cox DR (1970) The analysis of binary data. Methuen, London

    Google Scholar 

  • Ferraro M, Foster DH (1984) Characterization of discrete and continuous modes of visual pattern discrimination. Biol Cybern 50:9–13

    Google Scholar 

  • Ferraro M, Foster DH (1986) Discrete and continuous modes of curved-line discrimination controlled by effective stimulus duration. Spatial Vision 1:219–230

    Google Scholar 

  • Foster DH (1980) A spatial perturbation technique for the investigation of discrete internal representations of visual patterns. Biol Cybern 38:159–169

    Google Scholar 

  • Foster DH (1983) Visual discrimination, categorical identification, and categorical rating in brief displays of curved lines: implications for discrete encoding processes. J Exp Psychol: Hum Percept Perform 9:785–806

    Google Scholar 

  • Foster DH, Ferraro M (1989) Visual gap and offset discrimination and its relation to categorical identification in brief line-element displays. J Exp Psychol: Hum Percept Perform 15:771–784

    Google Scholar 

  • Nachmias J (1981) On the psychometric function for contrast detection. Vision Res 21:215–223

    Google Scholar 

  • Quick RFJr (1974) A vector-magnitude model of contrast detection. Kybernetik 16:65–67

    Google Scholar 

  • Watt RJ (1987) Scanning from coarse to fine spatial scales in the human visual system after the onset of a stimulus. J Opt Soc Am (Ser A) 4:2006–2021

    Google Scholar 

Download references

Author information

Affiliations

Authors

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Ferraro, M., Foster, D.H. Almost equivalence of combinatorial and distance processes for discrimination in multielement images. Biol. Cybern. 64, 315–319 (1991). https://doi.org/10.1007/BF00199595

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00199595

Keywords

  • Monte Carlo Simulation
  • General Process
  • Identification Performance
  • Visual Discrimination
  • Discrimination Performance