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Filomat 2023 Volume 37, Issue 4, Pages: 1017-1027
https://doi.org/10.2298/FIL2304017V
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Line graphics for visualization of surfaces and curves on them

Veličković Vesna I. ORCID iD icon (Department of Computer Science, Faculty of Sciences and Mathematics, University of Niš, Serbia), vesna@pmf.ni.ac.rs
Dolićanin Edin (Department of Technical Science, State University of Novi Pazar, Serbia), edin@np.ac.rs

In this paper, we describe the main principles of our approach for the visualization of surfaces and curves on them in three-dimensional space by the use of line graphics. We also compare our approach with the standard method of polygon mesh. Mainly, we discuss the representation of surfaces, special lines on surfaces and lines of intersections of surfaces. Furthermore, we address the problems of visibility and finding the contour lines of surfaces. Finally we apply our method for visualizing some selected topic in mathematics.

Keywords: Computer graphics, visualization, surface modeling, visibility and contour problems


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