In the thesis, we discuss Bézier curves, rational Bézier curves, Bézier curve splines, and PH curves. Throughout the work, we present their properties, which are crucial for use in computer-aided design (CAD) and computer-aided geometric design (CAGD) systems, as well as algorithms that enable their use in such systems. We also introduce a tool for the graphical visualization of the properties of the aforementioned curves - Bezeg. We examine its functionalities and demonstrate the basic ideas of how the tool is implemented and how the aforementioned curves are represented in the tool.
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