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Scientific Visualization
| Issue Year: | 2017 |
| Quarter: | 2 |
| Volume: | 9 |
| Number: | 2 |
| Pages: | 26 - 42 |
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| Article Name: |
FUZZY SURFACE VISUALIZATION USING HSL COLOUR MODEL |
| Authors: |
Jan Caha (Czech Republic), Alena Vondrakova (Czech Republic) |
| Address: |
Jan Caha
jan.caha@mendelu.cz
http://orcid.org/0000-0003-0165-0606
Department of Regional Development and Public Administration, Mendel University in Brno, Brno, Czech Republic
Alena Vondrakova
alena.vondrakova@upol.cz
http://orcid.org/0000-0002-7450-467X
Department of Geoinformatics, Faculty of Science, Palacky University in Olomouc, Olomouc, Czech Republic |
| Abstract: |
Fuzzy surfaces are surface models that account for the uncertainty that originates either in data or from user's uncertainty about the interpolation settings. So far, fuzzy surfaces have been visualized as 3D projections, profiles or as separate visualizations of three surfaces that show minimal, modal and maximal estimated value. Unfortunately, neither of these approaches towards fuzzy surface visualization is quite suitable for practical application. 3D projections and profiles manage to capture only part of the surface and three separate visualization are extremely challenging for users. In ideal case the user needs to obtain complete information (including uncertainty) about whole surface in the simplest visualization possible. As a result of these issues, a new method for fuzzy surface visualization is proposed. The method utilizes hue saturation lightness (HSL) colour model to depict the most important values of the predicted fuzzy surface. The method combines properties of the set of fuzzy numbers, that form the fuzzy surface, with properties of colour defined in HSL colour model. The resulting visualization utilizes continuous two-dimensional gamut to visualize the fuzzy surface. In cartography, however, the continuous gamuts are often consider as needlessly challenging for users (to obtain the correct information); so as a simplification a discrete variant of the two dimensional gamut is provided as well. The variant of visualization utilizing the discrete gamut is designed to be as customizable as possible, so that it is possible to adapt the visualization (in terms of complexity) for various groups of users from experts to non-experts. The proposed approaches are defined in terms of equations that allow visualization of arbitrary fuzzy surface with high level of visualization customization. The visualization method is presented on practical case study. A simple software, that allows testing of the proposed visualization, is provided as an appendix of the paper. |
| Language: |
English |
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