A common visual metric for approximate number and density

Proceedings of the National Academy of Sciences of the United States of America

Volumn 108, Issue 49, 2011, Pages 19552-19557

  Dakin, Steven C ^a   Tibber, Marc S ^a   Greenwood, John A ^a,b   Kingdom, Frederick A A ^c   Morgan, Michael J ^d,e  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b UNIVERSITÉ PARIS DESCARTES   (France)

^c MCGILL UNIVERSITY   (Canada)

^d CITY UNIVERSITY   (United Kingdom)

^e MAX PLANCK INSTITUTE FOR NEUROLOGICAL RESEARCH   (Germany)

Author keywords

Numerical cognition; Psychophysics; Texture; Vision

Indexed keywords

ARTICLE; COGNITION; DENSITY; ENERGY; HUMAN; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MONTE CARLO METHOD; NUMERICAL COGNITION; PERCEPTION; PERCEPTIVE DISCRIMINATION; PRIORITY JOURNAL; SIGNAL NOISE RATIO; STIMULUS RESPONSE; SYSTEMATIC ERROR; TASK PERFORMANCE; VISUAL STIMULATION;

ALGORITHMS; DISCRIMINATION (PSYCHOLOGY); FORM PERCEPTION; HUMANS; MODELS, PSYCHOLOGICAL; PATTERN RECOGNITION, VISUAL; PSYCHOLOGICAL TESTS; PSYCHOMETRICS; TASK PERFORMANCE AND ANALYSIS; VISUAL PERCEPTION;

EID: 83755195316     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1113195108     Document Type: Article

References (31)

1. Jevons WS (1871) The power of numerical discrimination. Nature 3:363-372.
2. Burr D, Ross J (2008) A visual sense of number. Curr Biol 18:425-428.
3. Halberda J, Mazzocco MM, Feigenson L (2008) Individual differences in non-verbal number acuity correlate with maths achievement. Nature 455:665-668.
4. Durgin FH (2008) Texture density adaptation and visual number revisited. Curr Biol 18:R855-R856.
5. Mandler G, Shebo BJ (1982) Subitizing: An analysis of its component processes. J Exp Psychol Gen 111:1-22.
6. Allik J, Tuulmets T, Vos PG (1991) Size invariance in visual number discrimination. Psychol Res 53:290-295.
7. Ross J, Burr DC (2010) Vision senses number directly. J Vis 10:10.1-10.8.
8. Tokita M, Ishiguchi A (2010) How might the discrepancy in the effects of perceptual variables on numerosity judgment be reconciled? Atten Percept Psychophys 72:1839-1853.
9. Franconeri SL, Bemis DK, Alvarez GA (2009) Number estimation relies on a set of segmented objects. Cognition 113:1-13.
10. He L, Zhang J, Zhou T, Chen L (2009) Connectedness affects dot numerosity judgment: Implications for configural processing. Psychon Bull Rev 16:509-517.
11. Allik J, Tuulmets T (1991) Occupancy model of perceived numerosity. Percept Psychophys 49:303-314.
12. Hurewitz F, Gelman R, Schnitzer B (2006) Sometimes area counts more than number. Proc Natl Acad Sci USA 103:19599-19604. (Pubitemid 46026076)
13. Ross J (2003) Visual discrimination of number without counting. Perception 32:867-870.
14. Walsh V (2003) A theory of magnitude: Common cortical metrics of time, space and quantity. Trends Cogn Sci 7:483-488.
15. Dehaene S, Changeux JP (1993) Development of elementary numerical abilities: A neuronal model. J Cogn Neurosci 5:390-407. (Pubitemid 23322725)
16. Nieder A, Freedman DJ, Miller EK (2002) Representation of the quantity of visual items in the primate prefrontal cortex. Science 297:1708-1711. (Pubitemid 35000787)
17. Piazza M, Izard V (2009) How humans count: Numerosity and the parietal cortex. Neuroscientist 15:261-273.
18. Roitman JD, Brannon EM, Platt ML (2007) Monotonic coding of numerosity in macaque lateral intraparietal area. PLoS Biol 5:e208.
19. Vetter P, Butterworth B, Bahrami B (2008) Modulating attentional load affects numerosity estimation: Evidence against a pre-attentive subitizing mechanism. PLoS One 3:e3269.
20. Burr DC, Turi M, Anobile G (2010) Subitizing but not estimation of numerosity requires attentional resources. J Vis 10(6):20.
21. Durgin FH (1995) Texture density adaptation and the perceived numerosity and distribution of texture. J Exp Psychol Hum Percept Perform 21:149-169.
22. Tibber M, Greenwood JA, Dakin SC (2011) Psychophysical evidence for a common metric underlying number and density discrimination. J Vis, 10.1167/11.11.1205.
23. Watt RJ, Morgan MJ (1985) A theory of the primitive spatial code in human vision. Vision Res 25:1661-1674. (Pubitemid 16207372)
24. Marr D (1982) Vision (Freeman, San Francisco).
25. Watt RJ (1991) Understanding Vision (Academic, London).
26. Ginsburg N (1976) Effect of item arrangement on perceived numerosity: Randomness vs regularity. Percept Mot Skills 42:663-668.
27. Dakin SC, Watt RJ (1997) The computation of orientation statistics from visual texture. Vision Res 37:3181-3192. (Pubitemid 27468709)
28. Ariely D (2001) Seeing sets: Representation by statistical properties. Psychol Sci 12:157-162.
29. Solomon JA, Morgan M, Chubb C (2011) Efficiencies for the statistics of size discrimination. J Vis 11(12):13.
30. Ayhan I, Bruno A, Nishida S, Johnston A (2011) Effect of the luminance signal on adaptation-based time compression. J Vis 11(7):22.
31. Ahrens MB, Sahani M (2011) Observers exploit stochastic models of sensory change to help judge the passage of time. Curr Biol 21:200-206.