{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T18:15:49Z","timestamp":1777486549943,"version":"3.51.4"},"reference-count":55,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2017,9,1]],"date-time":"2017-09-01T00:00:00Z","timestamp":1504224000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IJGI"],"abstract":"<jats:p>The commonly used methods in digital cartography are based on the minimum dimensions of black and white objects. This article presents a solution in which both the colour of the symbols and the background on which they are presented are relevant in the context of setting the minimum dimensions of the objects on a map. To achieve this, the authors have developed a perception coefficient that is an extension of the formal definitions of minimum object dimensions. In support of the presented solutions, the authors offer several cartographic examples. The article also contains experimental research that examines the impact of colour on the recognition of objects by means of specially prepared surveys. These results are compared against the theoretical values of the perception coefficient. The research objective was achieved by developing new solutions that could be used in the cartographic production processes of any national map agency.<\/jats:p>","DOI":"10.3390\/ijgi6090276","type":"journal-article","created":{"date-parts":[[2017,9,1]],"date-time":"2017-09-01T11:05:24Z","timestamp":1504263924000},"page":"276","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Limits of Colour Perception in the Context of Minimum Dimensions in Digital Cartography"],"prefix":"10.3390","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4870-0298","authenticated-orcid":false,"given":"Micha\u0142","family":"Lupa","sequence":"first","affiliation":[{"name":"AGH University of Science and Technology, Department of Geoinformatics and Applied Computer Science, 30-059 Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stanis\u0142aw","family":"Szombara","sequence":"additional","affiliation":[{"name":"AGH University of Science and Technology, Department of Integrated Geodesy and Cartography, 30-059 Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Monika","family":"Chuchro","sequence":"additional","affiliation":[{"name":"AGH University of Science and Technology, Department of Geoinformatics and Applied Computer Science, 30-059 Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tadeusz","family":"Chrobak","sequence":"additional","affiliation":[{"name":"AGH University of Science and Technology, Department of Integrated Geodesy and Cartography, 30-059 Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,9,1]]},"reference":[{"key":"ref_1","unstructured":"\u017byszkowska, W. (2000). Semiotyczne Aspekty Wizualizacji Kartograficznej, Publikacje Wydawnictwa Uniwersytetu Wroc\u0142awskiego. Seria, Studia Geograficzne."},{"key":"ref_2","first-page":"203","article-title":"Spectral Schemes: Controversial. Color Use on Maps","volume":"24","author":"Brewer","year":"1997","journal-title":"Cartogr. Geogr. Inf. Syst."},{"key":"ref_3","unstructured":"Buard, E., and Ruas, A. (2009, January 15\u201321). Processes for improving the colours of topographic maps in the context of Map-on-Demand. Proceedings of the 24th International Cartographic Conference (ICC \u201909), Santiago, Chile."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1179\/000870403235002042","article-title":"ColorBrewer.org: An Online Tool for Selecting Colour Schemes for Maps","volume":"40","author":"Harrower","year":"2003","journal-title":"Cartogr. J."},{"key":"ref_5","first-page":"179","article-title":"Colour progression scales balanced to constant depth colours","volume":"52","author":"Jaroszewicz","year":"2003","journal-title":"Geod. Kartogr."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Bartram, L., Patra, A., and Stone, M. (2017, January 6\u201311). Affective Color in Visualization. Proceedings of the 2017 CHI Conference on Human Factors in Computing Systems (CHI \u201917), Denver, CO, USA.","DOI":"10.1145\/3025453.3026041"},{"key":"ref_7","unstructured":"MacEarchen, A.M. (2004). How Maps Work: Representation, Visualization, and Design, Guilford."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Burghardt, D., Duch\u00eane, C., and Mackaness, W. (2014). Abstracting Geographic Information in a Data Rich World, Springer.","DOI":"10.1007\/978-3-319-00203-3"},{"key":"ref_9","unstructured":"Arnheim, R. (1971). Art and Entropy, University of California Press."},{"key":"ref_10","first-page":"14","article-title":"Relational Data Structures: A Rule-based Paradigm of Map Design","volume":"9","author":"Stolle","year":"2017","journal-title":"Meta-Carto-Semiotics"},{"key":"ref_11","first-page":"131","article-title":"Uwarunkowania fizjologiczne i techniczne wp\u0142ywaj\u0105ce na percepcj\u0119 obrazu obserwowanego na ekranie monitora","volume":"3","author":"Pyka","year":"2005","journal-title":"Roczniki Geomatyki Ann. Geomat."},{"key":"ref_12","unstructured":"Ware, C. (2012). Information Visualization, Third Edition: Perception for Design (Interactive Technologies), Morgan Kaufmann. [3rd ed.]."},{"key":"ref_13","unstructured":"Bektas, K., \u00c7\u00f6ltekin, A.C., Kr\u00fcger, J., and Duchowski, A.T. (2015, January 25\u201329). A testbed combining visual perception models for geographic gaze contingent displays. Proceedings of the Eurographics Conference on Visualization (EuroVis) Short Papers, Sardinia, Italy."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"2637","DOI":"10.1016\/S0042-6989(03)00441-3","article-title":"Contrast conservation in human vision","volume":"43","author":"Fiser","year":"2003","journal-title":"Vis. Res."},{"key":"ref_15","unstructured":"Boyce, P., and Raynham, P. (2009). The SLL Lighting Handbook. The Society of Light and Lighting, Chartered Institution of Building Services Engineers (CIBSE)."},{"key":"ref_16","first-page":"11","article-title":"Zdolno\u015b\u0107 widzenia a o\u015bwietlenie","volume":"1","author":"Wolska","year":"1999","journal-title":"Bezp. Pracy Nauka Prakt."},{"key":"ref_17","first-page":"5","article-title":"Evaluating Cross-blended Hypsometric Tints: A User Study in the United States, Switzerland, and Germany","volume":"75","author":"Patterson","year":"2014","journal-title":"Cartogr. Perspect."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Turner, S.R. (1994). In the Eye\u2019s Mind: Vision and the Helmholtz-Hering Controversy, Princeton University Press.","DOI":"10.1515\/9781400863815"},{"key":"ref_19","unstructured":"Pastuszak, W. (2000). Barwa w Grafice Komputerowej, Wydawnictwo Naukowe PWN."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1080\/15230406.2016.1140074","article-title":"The effect of spatial distance on the discriminability of colors in maps","volume":"44","year":"2017","journal-title":"Cartogr. Geogr. Inf. Sci."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1179\/1743277414Y.0000000103","article-title":"An empirical user study for measuring the influence of colour distance and font sise in map reading using eye tracking","volume":"53","year":"2016","journal-title":"Cartogr. J."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"560","DOI":"10.1080\/17538947.2016.1234007","article-title":"Perceptual complexity of soil-landscape maps: A user evaluation of color organization in legend designs using eye tracking","volume":"10","author":"Griffin","year":"2017","journal-title":"Int. J. Digit. Earth"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"512","DOI":"10.1007\/s11430-013-4685-3","article-title":"Using eye tracking to evaluate the usability of animated maps","volume":"57","author":"Dong","year":"2014","journal-title":"Sci. China Earth Sci."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1113\/jphysiol.1985.sp015591","article-title":"The contrast sensitivity of human colour vision to red-green and blue-yellow chromatic gratings","volume":"359","author":"Mullen","year":"1985","journal-title":"J. Physiol."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"568","DOI":"10.1007\/978-3-642-88658-4_22","article-title":"Color Adaptation: Sensitivity, Contrast, After-images","volume":"Volume 7\/4","author":"Jameson","year":"1972","journal-title":"Visual Psychophysics. Handbook of Sensory Physiology"},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Lupa, M., Kozio\u0142, K., and Le\u015bniak, A. (2015). An attempt to automate the simplification of building objects in multiresolution databases. Beyond Databases, Architectures and Structures, Springer International Publishing, Cop.","DOI":"10.1007\/978-3-319-18422-7_40"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Van Kreveld, M., Nievergelt, J., Roos, T., and Widmayer, P. (1997). Generalization of Spatial Data: Principles and Selected Algorithms. Algorithmic Foundations of Geographic Information Systems, Springer.","DOI":"10.1007\/3-540-63818-0"},{"key":"ref_28","unstructured":"Ostrowski, W. (2008). Semiotyczne Podstawy Projektowania Map Topograficznych na Przyk\u0142adzie Prezentacji Zabudowy, Uniwersytet Warszawski, Wydzia\u0142 Geografii i Studi\u00f3w Regionalnych."},{"key":"ref_29","unstructured":"Spiess, E., Baumgartner, U., Arn, S., and Vez, C. (2005). Topographic Maps Map Graphics and Generalisation, Swiss Society of Cartography."},{"key":"ref_30","unstructured":"Kelnhofer, F. (1980). Darstellungs-und Entwurfsprobleme in Topographischen Karten Mittlerer Ma\u00dfst\u00e4be, Verlag der \u00d6sterreichnischen Akademie der Wissenschaften."},{"key":"ref_31","first-page":"52","article-title":"Psychological aspects of color in cartography","volume":"7","author":"Robinson","year":"1967","journal-title":"Int. Jahrb. Kartogr."},{"key":"ref_32","unstructured":"Chrobak, T., Kozio\u0142, K., Krawczyk, A., Lupa, M., and Szombara, S. (2013). Automatyzacja Procesu Generalizacji Wielorozdzielczej Bazy Danych, Uczelniane Wydawnictwa Naukowo-Dydaktyczne. AGH."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1080\/10106049.2015.1133721","article-title":"A method for assessing generalized data accuracy with linear object resolution verification","volume":"32","author":"Chrobak","year":"2017","journal-title":"Geocarto Int."},{"key":"ref_34","unstructured":"Saliszczew, K.A. (2003). Kartografia Og\u00f3lna, Wydawnictwo Naukowe PWN. [3rd ed.]."},{"key":"ref_35","unstructured":"McMaster, R.B., and Shea, K.S. (1992). Generalisation in Digital Cartography, Association of American Geographers."},{"key":"ref_36","unstructured":"Chrobak, T. (1999). Badanie Przydatno\u015bci Tr\u00f3jk\u0105ta Elementarnego w Komputerowej Generalizacji Kartograficznej, Uczelniane Wydawnictwa Naukowo-Dydaktyczne. AGH."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1111\/j.1444-0938.2003.tb03100.x","article-title":"The effect of observation time and contrast on visual acuity","volume":"86","author":"Werner","year":"2003","journal-title":"Clin. Exp. Optom."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"624","DOI":"10.1364\/JOSA.36.000624","article-title":"Contrast tresholds of human eye","volume":"36","author":"Blackwell","year":"1946","journal-title":"J. Opt. Soc. Am."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1080\/00994480.1971.10732194","article-title":"Visual Performance Data for 156 Normal Observers of Various Ages","volume":"1","author":"Blackwell","year":"1971","journal-title":"J. Illum. Eng. Soc."},{"key":"ref_40","unstructured":"B\u0105k, J., and Pabja\u0144czyk, W. (1994). Podstawy Techniki \u015awietlnej, Politechnika \u0141\u00f3dzka. Skrypty dla szk\u00f3\u0142 Wy\u017cszych."},{"key":"ref_41","unstructured":"\u017bagan, W. (2005). Podstawy Techniki \u015awietlnej, Oficyna Wydawnicza Politechniki Warszawskiej."},{"key":"ref_42","unstructured":"Commission Internationale de l\u2019\u00c9clairage (1976). CIE Colorimetry\u2014Part 4: 1976 L*a*b* Colour Space, Commission Internationale de l\u2019\u00c9clairage."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1002\/j.1520-6378.1977.tb00104.x","article-title":"The CIE color-difference formulae","volume":"2","author":"Robertson","year":"1977","journal-title":"Color Res. Appl."},{"key":"ref_44","doi-asserted-by":"crossref","unstructured":"Hendee, W.R., and Peter, N.T. (1997). The Perception of Visual Information, Springer. [2nd ed.].","DOI":"10.1007\/978-1-4612-1836-4"},{"key":"ref_45","unstructured":"Rea, M. (1993). Vision and Perception w Lighting Handbook, Reference & Application, IES of North America. Wydanie 8."},{"key":"ref_46","unstructured":"Robinson, A.H., Sale, R., and Morrison, J. (1978). Elements of Cartography, John Wiley & Sons."},{"key":"ref_47","unstructured":"Golika, W. (1994). Laboratorium z Techniki \u015awietlnej, Wydanie drugie poprawione, Wydawnictwo Politechniki Pozna\u0144skiej."},{"key":"ref_48","unstructured":"Cai, H. (2008). A Legibility Equation for Determining Ideal Viewing Areas in Lecture Halls. [Ph.D. Dissertation, University of Michigan]."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1080\/00994480.1982.10748627","article-title":"An Alternative ESI System Based on Human Visual Acuity","volume":"11","author":"Kaneko","year":"1982","journal-title":"J. Illum. Eng. Soc."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"38","DOI":"10.2150\/jlve.2.1_38","article-title":"Study on Standard Visual Acuity Curves for Better Seeing in Lighting Symbol","volume":"2","author":"Nakane","year":"1978","journal-title":"J. Light Vis. Environ."},{"key":"ref_51","first-page":"99","article-title":"The role of least image dimensions in generalized of object in spatial databases","volume":"59","author":"Chrobak","year":"2010","journal-title":"Geod. Cartogr."},{"key":"ref_52","doi-asserted-by":"crossref","unstructured":"Post, D.L., Constanza, E.B., and Lippert, T.M. (1982, January 25\u201329). Expressions of color contrast as equivalent achromatic contrast. Proceedings of the Human Factors Society\u201426th Annual Meeting, Seattle, WA, USA.","DOI":"10.1177\/154193128202600621"},{"key":"ref_53","doi-asserted-by":"crossref","unstructured":"Seber, G.A.F., and Wild, C.J. (2003). Nonlinear Regression, Wiley.","DOI":"10.1002\/9780471722199"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"474","DOI":"10.2307\/2982065","article-title":"Regression analysis of data from complex surveys","volume":"143","author":"Holt","year":"1980","journal-title":"J. R. Stat. Soc. Ser. A"},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1093\/biomet\/72.1.11","article-title":"Least squares regression with data arising from stratified samples of the dependent variable","volume":"72","author":"Jewell","year":"1985","journal-title":"Biometrika"}],"container-title":["ISPRS International Journal of Geo-Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2220-9964\/6\/9\/276\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:43:51Z","timestamp":1760208231000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2220-9964\/6\/9\/276"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,9,1]]},"references-count":55,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2017,9]]}},"alternative-id":["ijgi6090276"],"URL":"https:\/\/doi.org\/10.3390\/ijgi6090276","relation":{},"ISSN":["2220-9964"],"issn-type":[{"value":"2220-9964","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,9,1]]}}}