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On Bézier Curves and Surfaces


On Bézier Curves and Surfaces

Lazarus, Brandon (2023) On Bézier Curves and Surfaces. Masters thesis, Concordia University.

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The Bézier curve is a continuous parametric curve that is used in numerous applications, such as automobile design and road design. I begin by surveying the fundamental properties of the Bézier curve and provide a variety of examples and calculations. I also survey, but more succinctly, the notion of the Bézier surface, which also has numerous applications in computer-aided design software, such as aircraft design. I end by presenting the special types of points that a cubic Bézier curve (with four control points) can have. The configuration of planar control points that I present can be used by computer engineers to produce various shapes with respect to the necessary design requirements and to minimize fluctuations of the curve itself.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Lazarus, Brandon
Institution:Concordia University
Degree Name:M. Sc.
Date:30 June 2023
Thesis Supervisor(s):Stancu, Alina
ID Code:992636
Deposited By: Brandon Lazarus
Deposited On:16 Nov 2023 20:46
Last Modified:16 Nov 2023 20:46
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