Colour categories boundaries are better defined in contextual conditions Robert Benavente, C. Alejandro Párraga and Maria Vanrell Computer Vision Center / Dept. Ciències de la Computació (UAB) Building O, Campus UAB, 08193 Bellaterra (Barcelona), Spain {robert, aparraga, maria}@cvc.uab.es INTRODUCTION Boundaries between basic colour categories (green, blue, purple, pink, red, orange, yellow and brown) were measured. • Colour samples were presented on isolation (presented on a dark background and surrounded by a white “frame”) Previous experiment (Parraga et al., 2009) • Colour samples were determined by a QUEST protocol Which is the colour • Subjects were forced to categorise colours (yes/no paradigm) of the patch, green or blue? green Problems: Some boundaries (e.g. green-blue) were very diffuse and presented bimodal distributions, which were attributed to the emergence of non-basic categories (e.g. turquoise). Boundaries that presented bimodal distributions: L=36 red-brown, green-blue, purple-pink L=58 orange-yellow, green-blue, purple-pink, pink-red L=81 orange-yellow, yellow-green, green-blue, blue-purple, purple-pink blue Colour name frontiers were measured using a 2AFC paradigm and a Quest protocol Exemplary set of previous results Number of instances The categorisation of colour (or colour naming) by humans is an important problem both in visual perception and computer vision. Green Turquoise? Blue New goal In a new experiment, colour boundaries were again measured but this time colour samples were presented over a coloured “mondrian” (randomised colours) background to simulate context and a new paradigm was used. NEW EXPERIMENT Apparatus: Cambridge Research Systems VisaGe graphics card, CRT calibrated monitor (Trinitron tube) inside a dark room, and Logitech gamepad. Subjects: 8 subjects, (speakers of English as a first language). Colour vision assessed using the Ishihara plates and the Farnsworth D-15 test. Presentation: Coloured patches on a coloured “mondrian” background. Patches subtended 5 deg to the observer. Viewing was unconstrained and binocular (distance = 156 cm). At the bottom of the screen there were two colour names. Task: Observers operated the gamepad buttons to select a patch colour that was mid-way between the colour represented by the names at the bottom of the screen. Change the colour of the patch to select the colour midway between green and blue… green Segmentation of the Lab colour space in different Luminance levels: only boundaries in three levels were measured (intermediate levels were interpolated) blue Stimuli: Colour samples were selected using the boundaries proposed by the parametric model of Benavente et al (2008) in Lab space as a guide. Method: Observers were allowed to manipulate the hue of the central patch along arcs of the same luminance and saturation. Once a boundary was chosen by the observer, a new “arch” was selected across the same colour frontier and a new random “mondrian” was set for the next run. After 10 runs, a new colour frontier was explored. A complete experiment consisted of 190 runs, exploring 19 colour frontiers (at three different Lab luminance levels: 36, 58 and 81). (Sturges and Whitfield, 1995) Lab colour space (Sturges and Whitfield, 1995) RESULTS Unimodal boundaries 30 Modelling Green-Blue L= 36 Blue-Purple 10 5 6.2 8 6.5 3 6.7 9 6.2 8 6.5 3 6.7 9 5.5 3 6.0 3 5.5 3 6.0 3 5.2 8 5.7 8 5.2 8 5.0 3 5.7 8 4.5 2 4.7 8 4.5 2 5.0 3 4.2 7 4.2 7 4.7 8 3.7 7 4.0 2 3.7 7 4.0 2 3.0 2 3.5 2 3.5 2 2.7 6 3.2 7 Green-Blue 3.2 7 2.5 1 1.7 6 2.2 6 2.0 1 1.0 1 1.5 1 L= 58 1.2 6 0.2 5 0.7 5 0.0 0 0.5 0 0 25 Blue-Purple Purple-Pink Pink-Red 20 Red-Orange 15 Orange-Yellow Yellow -Green 10 5 25 3.0 2 2.7 6 Green-Blue 2.5 1 1.7 6 2.2 6 2.0 1 1.0 1 1.5 1 1.2 6 0.7 5 0.0 0 30 0.2 5 0 0.5 0 Number of instances Red-Brow n Blue-Purple L= 81 Purple-Pink Pink-Orange 20 Orange-Yellow Yellow -Green 15 10 The figure on the right shows the results of adjusting the Benavente et al parametric model according to its original criteria (first column), according to the previous (context-less) boundary measures (second column) and according to the results shown on the left (third column). Each row corresponds to one of the three reference luminance levels. 5 6.2 8 6.5 3 6.7 9 6.0 3 5.2 8 5.5 3 5.7 8 4.5 2 4.7 8 5.0 3 3.7 7 4.0 2 4.2 7 3.5 2 3.2 7 2.5 1 2.7 6 3.0 2 1.7 6 2.0 1 2.2 6 1.0 1 1.2 6 1.5 1 0.7 5 0.5 0 0.2 5 0.0 0 0 Angle in Radians Each coloured histogram corresponds to a colour name boundary (as defined by Benavente et al) including all observers (8) and all saturation levels (10). Although the shape of the histograms varies from boundary to boundary, it is possible to appreciate from the figures that most results are concentrated around a certain mean value (the average boundary angle) The parameters of the model were adjusted so that the width of the boundary regions (in yellow) matches the shape of the histograms on the left. The resulting regions (third column) show much sharper transitions than in the case of the boundaries described by Parraga et al (measured against a dark, context-less background and using a different paradigm). CONCLUSIONS • A new paradigm was used to measure colour name boundaries in Lab space. This paradigm allows us to collect larger amounts of data than the previous one (Parraga et al) • Results show that frontiers measured using the new paradigm with colours presented over random mondrian backgrounds are better defined than those measured on dark backgrounds • These results open a new question on whether they are due to the new paradigm or to the insertion of context (random mondrian background). Parraga et al Context model L plane = 36 Brow n-Green L plane = 58 Pink-Red 15 30 Benavente et al Purple-Pink 20 L plane = 81 25 REFERENCES AND ACKNOWLEDGEMENTS Parraga C.A., Benavente, R., Vanrell, M. and Baldrich, R., Psychophysical measurements to model inter-colour regions of colour-naming space, J. of Im. Sci. and Tech., 53(3), (2009). Benavente, R., Vanrell, M., and Baldrich, R., Parametric fuzzy sets for automatic color naming. J. of Opt. Soc. Am. A, 25(10), (2008). Sturges, J. and Whitfield, T.W.A., Locating Basic Colors in the Munsell Space. Color Research and Application. 20, 364-376. (1995). Supported by projects TIN2007-64577 and CSD2007-00018 of the Spanish Ministry of Science. RB was funded by the “Juan de la Cierva” fellowship (JCI-2007-627) and CAP was funded by the “Ramón y Cajal” fellowship (RYC-2007-00484). Funded by Porject Consolider Ingenio 2010.