Abstract
This paper presents a model explaining tilt illusion effect in the Café Wall pattern. In this geometric illusion, we perceive horizontal edges as tilted. We explain this as the result of innate retinal/gangliar visual processing of the pattern. Our bioplausible model is based on a simple early layer using Difference of Gaussian over simple ON-center and OFF-center receptive fields, with a quantification module replacing later layers of a Deep Neural Network. The experimental results show that this bioplausible filtering technique can explain the tilt illusion of the Café Wall pattern. Our statistical analysis of tilt provides a quantitative measurement and an empirically testable prediction for the degree of tilt. This shows that the Difference of Gaussian reveals cues for perception and clues about the illusions we perceive.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bengio, Y.: Learning deep architectures for AI. Found. Trends\(\textregistered \) Mach. Learn. 2(1), 1–127 (2009)
Blakeslee, B., McCourt, M.E.: A multiscale spatial filtering account of the White effect, simultaneous brightness contrast and grating induction. Vis. Res. 39(26), 4361–4377 (1999)
Carandini, M.: Receptive fields and suppressive fields in the early visual system. Cogn. Neurosci. 3, 313–326 (2004)
Duda, R.O., Hart, P.E.: Use of the Hough transformation to detect lines and curves in pictures. Commun. ACM 15(1), 11–15 (1972)
Earle, D.C., Maskell, S.J.: Fraser cords and reversal of the Café Wall illusion. Perception 22(4), 383–390 (1993)
Enroth-Cugell, C., Robson, J.G.: The contrast sensitivity of retinal ganglion cells of the cat. J. Physiol. 187(3), 517–552 (1966)
Field, G.D., Chichilnisky, E.J.: Information processing in the primate retina: circuitry and coding. Annu. Rev. Neurosci. 30, 1–30 (2007)
Gollisch, T., Meister, M.: Eye smarter than scientists believed: neural computations in circuits of the retina. Neuron 65(2), 150–164 (2010)
Gregory, R.L., Heard, P.: Border locking and the Café Wall illusion. Perception 8(4), 365–380 (1979)
Grossberg, S.: The link between brain learning, attention, and consciousness. Conscious. Cogn. 8(1), 1–44 (1999)
Hough, P.V.: Method and means for recognizing complex patterns (1962)
Huang, J.Y., Protti, D.A.: The impact of inhibitory mechanisms in the inner retina on spatial tuning of RGCs. Sci. Rep. 6 (2016)
Hubel, D.H., Wiesel, T.N.: Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex. J. Physiol. 160(1), 106–154 (1962)
Illingworth, J., Kittler, J.: A survey of the Hough transform. Comput. Vis. Graph. Image Process. 44(1), 87–116 (1988)
Jameson, D., Hurvich, L.M.: Essay concerning color constancy. Annu. Rev. Psychol. 40(1), 1–24 (1989)
Kitaoka, A., Pinna, B., Brelstaff, G.: Contrast polarities determine the direction of Café Wall tilts. Perception 33(1), 11–20 (2004)
Kuffler, S.W.: Neurons in the retina: organization, inhibition and excitation problems. Cold Spring Harb. Symp. Quant. Biol. 17, 281–292 (1952). Cold Spring Harbor Laboratory Press
LeCun, Y., Bengio, Y., Hinton, G.: Deep learning. Nature 521(7553), 436–444 (2015)
Linsenmeier, R.A., Frishman, L.J., Jakiela, H.G., Enroth-Cugell, C.: Receptive field properties of X and Y cells in the cat retina derived from contrast sensitivity measurements. Vis. Res. 22(9), 1173–1183 (1982)
Lourens, T.: Modeling retinal high and low contrast sensitivity filters. In: Mira, J., Sandoval, F. (eds.) IWANN 1995. LNCS, vol. 930, pp. 61–68. Springer, Heidelberg (1995). doi:10.1007/3-540-59497-3_157
Lv, Y., Jiang, G., Yu, M., Xu, H., Shao, F., Liu, S.: Difference of Gaussian statistical features based blind image quality assessment: a deep learning approach. In: IEEE International Conference on Image Processing (ICIP), pp. 2344–2348 (2015)
Marr, D., Hildreth, E.: Theory of edge detection. Proc. Roy. Soc. Lond. B: Biol. Sci. 207(1167), 187–217 (1980)
Marr, D., Ullman, S.: Directional selectivity and its use in early visual processing. Proc. Roy. Soc. Lond. B: Biol. Sci. 211(1183), 151–180 (1981)
Morgan, M.J., Moulden, B.: The Münsterberg figure and twisted cords. Vis. Res. 26(11), 793–800 (1986)
Nematzadeh, N., Lewis, T.W., Powers, D.M.W.: Bioplausible multiscale filtering in retinal to cortical processing as a model of computer vision. In: ICAART 2015-International Conference on Agents and Artificial Intelligence. SCITEPRESS (2015)
Nematzadeh, N., Powers, D.M.W.: A quantitative analysis of tilt in the Café Wall illusion: a bioplausible model for foveal and peripheral vision. In: DICTA 2016-International Conference on Digital Image Computing: Techniques and Applications (2016)
Nematzadeh, N.: A neurophysiological model for geometric visual illusions. Ph.D. thesis, Flinders University (in preparation)
Passaglia, C.L., Enroth-Cugell, C., Troy, J.B.: Effects of remote stimulation on the mean firing rate of cat retinal ganglion cells. J. Neurosci. 21(15), 5794–5803 (2001)
Powers, D.M.W.: Lateral interaction behaviour derived from neural packing considerations. School of Electrical Engineering and Computer Science, University of New South Wales (1983)
Ratliff, F., Knight, B., Graham, N.: On tuning and amplification by lateral inhibition. Proc. Nat. Acad. Sci. 62(3), 733–740 (1969)
Robson, J.G.: Frequency domain visual processing. In: Braddick, O.J., Sleigh, A.C. (eds.) Physical and Biological Processing of Images. SSINF, vol. 11, pp. 73–87. Springer, Heidelberg (1983). doi:10.1007/978-3-642-68888-1_6
Rodieck, R.W., Stone, J.: Analysis of receptive fields of cat retinal ganglion cells. J. Neurophysiol. 28(5), 833–849 (1965)
Romeny, B.M.: Front-End Vision and Multiscale Image Analysis: Multiscale Computer Vision Theory and Applications, Written in Mathematica. Springer Science & Business Media, Heidelberg (2008)
Schmidhuber, J.: Deep learning in neural networks: an overview. Neural Netw. 61, 85–117 (2015)
Von der Malsburg, C.: Self-organization of orientation sensitive cells in the striate cortex. Kybernetik 14(2), 85–100 (1973)
Westheimer, G.: Irradiation, border location, and the shifted chessboard pattern. Perception 36(4), 483–494 (2007)
Acknowledgement
Nasim Nematzadeh was supported by an Australian Postgraduate Award (APA) scholorship for her Ph.D.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Nematzadeh, N., Powers, D.M.W., Lewis, T. (2017). Quantitative Analysis of a Bioplausible Model of Misperception of Slope in the Café Wall Illusion. In: Chen, CS., Lu, J., Ma, KK. (eds) Computer Vision – ACCV 2016 Workshops. ACCV 2016. Lecture Notes in Computer Science(), vol 10118. Springer, Cham. https://doi.org/10.1007/978-3-319-54526-4_45
Download citation
DOI: https://doi.org/10.1007/978-3-319-54526-4_45
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-54525-7
Online ISBN: 978-3-319-54526-4
eBook Packages: Computer ScienceComputer Science (R0)