用于在其上显示曲面和曲线的线形图形

Pub Date : 2023-01-01 DOI:10.2298/fil2304017v

Vesna Veličković, E. Dolicanin

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引用次数: 0

摘要

在本文中，我们描述了我们的方法的主要原则，为表面和曲线的可视化在三维空间中使用线形图。并将该方法与标准的多边形网格方法进行了比较。主要讨论了曲面的表示、曲面上的特殊线以及曲面的交点线。此外，我们还解决了可见性和寻找表面等高线的问题。最后，我们将所提出的方法应用于若干数学题目的可视化。

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Line graphics for visualization of surfaces and curves on them

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.

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