Skip to main content
SpringerLink
Log in

Bistable Perception and Fractal Reasoning

  • Conference paper
  • First Online:
Diagrammatic Representation and Inference (Diagrams 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9781))

Included in the following conference series:

  • 752 Accesses

Abstract

A visual percept is deemed bistable if there are two potential yet mutually exclusive interpretations of the percept between which the human visual system cannot unambiguously choose. Perhaps the most famous example of such a bistable visual percept is the Necker Cube. In this paper, we present a novel computational model of bistable perception based on visual analogy using fractal representations.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Appel, A., Rohlf, J., Stein, A.: The haloed line effect for hidden line elimination, vol. 13. ACM (1979)

    Google Scholar 

  2. Kawamoto, A., Anderson, J.: A neural network model of multistable perception. Acta Psychol. 59, 35–65 (1985)

    Article  Google Scholar 

  3. Kogo, N., Galli, A., Wagemans, J.: Switching dynamics of border ownership: a stochastic model for bi-stable perception. Vis. Res. 51(18), 2085–2098 (2011)

    Article  Google Scholar 

  4. McGreggor, K., Goel, A.: Confident reasoning on the ravens progressive matrices test. In: Proceedings of the 25th AAAI Conference on Artificial Intelligence, Quebec (2014)

    Google Scholar 

  5. McGreggor, K., Kunda, M., Goel, A.: Fractals and ravens. Artif. Intell. 215, 1–23 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  6. Nagao, N., Nishimura, H., Matsui, N.: A neural chaos model of multistable perception. Neural Process. Lett. 12(3), 267–276 (2000)

    Article  MATH  Google Scholar 

  7. Necker, L.: On an apparent change of position in a drawing or engraved figure of a crystal. Lond. Edinb. Philos. Mag. J. Sci. 1, 329–337 (1832). (Third Series)

    Google Scholar 

  8. Rumelhart, D., Smolensky, P., McClelland, J., Hinton, G.: Schema and sequential thought processes in PDP models. In: Rumelhart, D., McCleland, J. (eds.) Parallel Distributed Processing, pp. 7–57 (1986)

    Google Scholar 

  9. Tversky, A.: Features of similarity. Psychol. Rev. 84(4), 327–352 (1977)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Computing, Georgia Institute of Technology, Atlanta, GA, USA

    Keith McGreggor & Ashok Goel

Authors
  1. Keith McGreggor
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ashok Goel
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Keith McGreggor .

Editor information

Editors and Affiliations

  1. The University of Cambridge , Cambridge, United Kingdom

    Mateja Jamnik

  2. The University of Tokyo , Tokyo, Japan

    Yuri Uesaka

  3. Millersville University , Millersville, Pennsylvania, USA

    Stephanie Elzer Schwartz

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

McGreggor, K., Goel, A. (2016). Bistable Perception and Fractal Reasoning. In: Jamnik, M., Uesaka, Y., Elzer Schwartz, S. (eds) Diagrammatic Representation and Inference. Diagrams 2016. Lecture Notes in Computer Science(), vol 9781. Springer, Cham. https://doi.org/10.1007/978-3-319-42333-3_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-42333-3_18

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-42332-6

  • Online ISBN: 978-3-319-42333-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation