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Color distance derived from a receptor model of color vision in the honeybee

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Abstract

A model calculation is presented for investigating the domain between the two well-examined fields of color vision in the bee, i.e. choice behavior with respect to color stimuli, and photoreceptor physiology. Based on the properties of the receptors, the model explains quantitatively the results obtained in color discrimination experiments. The model predicts curved lines which connect the loci of most similar color stimuli in the receptor plane and makes quantitative predictions about the magnitude of the Bezold-Abney hue shift. A measure for color difference is derived from the number of the just-noticeabledifference (jnd) steps determined by the noise thresholds of the photoreceptor cells.

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References

  • Abney W de W (1910) On the change of hue of spectrum colours by dilution with white light. Proc R Soc A 83:120

    Google Scholar 

  • Autrum H, Zwehl V v (1964) Spektrale empfindlichkeit einzelner Sehzellen des Bienenauges. Z Vergl Physiol 48:357–384

    Article  Google Scholar 

  • Backhaus W, Menzel R (1984) Bestimmung der Farbwahrnehmungskomponenten bei Bienen durch multidimensionale Skalierung. Verh Dtsch Zool Ges 77:230

    Google Scholar 

  • Bezold W v (1873) Über das Gesetz der Farbenmischung und die physiologischen Grundfarben. Ann Phys Chem 150:71–93 221–247

    Google Scholar 

  • Bouma PJ (1951) Farbe und Farbwahrnehmung. Philips, Endhoven

    Google Scholar 

  • Cornsweet TN (1970) Visual perception. Academic Press, New York

    Google Scholar 

  • Daumer K (1956) Reizmetrische Untersuchungen des Farbensehens der Bienen. Z Vergl Physiol 38:413–478

    Google Scholar 

  • Frisch K v (1914) Der Farbensinn und Formensinn der Biene. Zool J Physiol 37:1–238

    Google Scholar 

  • Graßmann H (1853) Zur Theorie der Farbenmischung. Ann Phys Chem 89:69–84

    Google Scholar 

  • Helmholtz H v (1896) Handbuch der physiologischen Optik, 2. Aufl. Voß, Hamburg

  • Helversen O v (1972a) Zur spektralen Unterschiedsempfindlichkeit der Honigbiene. J Comp Physiol 80: 439–472

    Article  Google Scholar 

  • Helversen O v (1972b) The relaitonship between difference in stimuli and choice frequency in training experiments with the honeybee. In: Wehner R (ed) Information processing in the visual systems of arthropods. Springer, Berlin Heidelberg New York, pp 323–334

    Google Scholar 

  • Henderson S T (1977) Daylight and its spectrum. Hilger, Bristol

    Google Scholar 

  • Indow T, Kanazawa K (1960) Multidimensional mapping of Munsell colors varying in hue, chroma, and value. J Exp Psychol 59:330–336

    PubMed  Google Scholar 

  • Labhart T (1974) Behavioral analysis of light intensity discrimination and spectral sensitivity in the honey bee, Apis mellifera. J Comp Physiol 95:203–216

    Article  Google Scholar 

  • Laughlin S (1981) Neural principles in the peripheral visual systems of invertebrates. In: Autrum H (ed) Invertebrate visual centers and behavior I. Springer, Berlin Heidelberg New York (Handbook of sensory physiology, vol VII/6B), pp 133–280

    Google Scholar 

  • Lieke E (1986) Honeybees have a perceptual dimension of color saturation. J Comp Physiol (in press)

  • Lipetz L E (1971) The relation of physiological and psychological aspects of sensory intensity. In: Loewenstein WR (ed) Principles of receptor physiology. Springer, Berlin Heidelberg New York, (Handbook of sensory physiology, vol I, pp 191–225)

    Google Scholar 

  • MacAdam DL (1963) Nonlinear relations of psychometric scale values to chromaticity differences. J Opt Soc Am 53:754–757

    Google Scholar 

  • Mazokhin-Porshnyakov GA (1962) Colorimetric index of trichromic bees. Biofizica 7:211–217

    Google Scholar 

  • Menzel R (1967) Untersuchungen zum Erlernen von spektralfarben durch die Honigbiene, Apis mellifica. Z Vergl Physiol 56:22–62

    Article  Google Scholar 

  • Menzel R (1979) Spectral sensitivity and color vision in invertebrates. In: Autrum H (ed) Invertebrate photoreceptors. Springer, Berlin Heidelberg New York (Handbook of sensory physiology, vol VII/6A), pp 503–580

    Google Scholar 

  • Menzel R (1985) Colour pathways and colour vision in the bee. In: Ottoson D, Zeki S (eds) Central and peripheral mechanisms of colour vision. Macmillan Press, London, pp 211–223

    Google Scholar 

  • Menzel R, Blakers M (1976) Colour receptors in the bee eye-morphology and spectral sensitivity. J Comp Physiol 108:11–33

    Article  Google Scholar 

  • Menzel R, Ventura DF, Hertel H, de Souza JM, Greggers U (1986) Spectral sensitivity of photoreceptors in insect compound eyes: comparison of species and methods. J Comp Physiol A 158:165–177

    Article  Google Scholar 

  • Riemann B (1854) Quoted by DL MacAdam. In: Sources of color science. MIT Press p 61 (1970)

  • Richter M (1981) Einführung in die Farbmetrik, 2. Aufl. de Gruyter, Berlin

    Google Scholar 

  • Rodieck RW (1973) The vertebrate retina. Freeman, San Francisco

    Google Scholar 

  • Rushton WAH (1972) Pigments and signals in colour vision. J Physiol 220:1–31

    PubMed  Google Scholar 

  • Schlecht P (1979) Colour discrimination in dim light: an analysis of the photoreceptor arrangement in the moth Deilephila. J Comp Physiol 129:257–267

    Article  Google Scholar 

  • Schrödinger E (1920a) Grundlinien einer Theorie der Farbenmetrik im Tagessehen. Ann Phys 63:397–426; 427–456

    Google Scholar 

  • Schrödinger E (1920b) Grundlinien einer Theorie der Farbenmetrik im Tagessehen: Der Farbenmetrik II. Teil: Höhere Farbenmetrik (eigentliche Metrik der Farbe). Ann Phys 63:481–520

    Google Scholar 

  • Snyder AW, Menzel R, Laughlin SB (1973) Structure and function of the fused rhabdom. J Comp Physiol 87:99–135

    Article  Google Scholar 

  • Vos JJ, Walraven PL (1972) An analytical description of the line element in the zone-fluctuation model of colour vision. I, II. Vision Res 12:1327–1344, 1345–1365

    Article  PubMed  Google Scholar 

  • Werner A, Menzel R (1984) Farbuntersheidung und Rezeptorfarbraum der Honigbiene. Verh Dtsch Zool Ges Fischer, Stuttgart, p 229

    Google Scholar 

  • Wright WD, Pitt FHG (1934) Hue discrimination in normal color vision. Proc Phys Soc 46:459

    Article  Google Scholar 

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Backhaus, W., Menzel, R. Color distance derived from a receptor model of color vision in the honeybee. Biol. Cybernetics 55, 321–331 (1987). https://doi.org/10.1007/BF02281978

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