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On the central projection of a curve onto surface

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2015
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Abstract (EN)

This thesis consists of five sections. In the first chapter literature summary and the purpose of the thesis are given. The second section includes some basic concepts of descriptive geometry and numerical analysis. Also, some basic definitions of curves and surfaces are mentioned. In the third section, orthogonal projection of a parametric curve onto a parametric surface is introduced by using Taylor expansion up to second order. Resultant truncation error is calculated for orthogonal projection curve. The fourth section is original part of the thesis. In the fourth section, central projection of a parametric curve onto a parametric surface is researched by using Taylor expansion up to second order in Euclidean 3-space. Truncation error is calculated, some examples are given. Fifth chapter consists of conclusions and suggestions.

Author

Bedia Merih Özçetin

How to Cite

Bedia Merih Özçetin (Master Thesis). On the central projection of a curve onto surface, 2015, Yıldız Technical University.

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