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Computer Representation of Surfaces
Chudáčková, Eliška ; Surynková, Petra (advisor) ; Šrubař, Jiří (referee)
In this work we first introduce the basics of surface study and than we get acquainted with three basic types of surfaces of computer graphics, Bézier, rational Bézier and B-spline surfaces. This is to prepare the reader for the study of the fourth type of surfaces - NURBS. All types of introduced surfaces are accompanied by examples and algorithms with programs implemented in MatLab environment. When studying the NURBS surfaces properties we also introduce the associated important geometric tools. With this base of knowledge we concentrate on examples of common surfaces represented as NURBS, that are again accompanied with representation in programs. i
Computer modeling of curves
Chudáčková, Eliška ; Surynková, Petra (advisor) ; Karger, Adolf (referee)
Title: Computer modeling of curves Author: Eliška Chudáčková Department: Department of Mathematics Education Vedoucí bakalářské práce: RNDr. Petra Surynková, Ph.D. Abstract: Bachelor thesis Computer modeling of curves deals with important curves of computer graphics and their applications in programs. It is especially devoted to Ferguson cubic, Bezier curve and Coons cubic. The work is outlined as a teaching text. First for high school students of informatics seminar, second for students of geometry. It is also useful as an overview of the theory of curves or a collection of examples relating to study of curves. An important contribution of this work are programs that allow experimental verification of properties of the studied curves. There is also a picture attached to most of curves and examples. Part of this work is an enclosed CD, where you can find all the programs and the picture supplement in the electronic form. Keywords: curves, modeling, interpolation, approximation, control polygon

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1 Chudáčková, Eva
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