Eğri ve yüzey tasarımları

SUMMARY In the introduction part of this thesis, the subject and purpose of this study is introduced. In the first part: By studying certain kinds of curves and surface patches such as, Ferguson Parametric Curves and Patches, Bezier Unisurf Curves and Patches, Bernstein- Bezier Polinomial Curves. Rational Parametric Curves and Surfaces, the use of parametric equations in curve and surface design are examined. These curves and surfaces establish a base for Computer Aided Geometric Design (CAGD). Furthermore, some knowledge about the Characteristic Polygon of a curve, which has applications in the geometric design and a very useful property Convex Hull Property is given. In the second part, the use of Polinomial Splines and B-Sp lines in the fitting of plane curves, are considered. Also, positional, tangent and curvature continuity necessary in the construction of Composite Curves and Surfaces and kinds of parametrization necessary to satisfy them is examined. Besides this, it's given some knowledge about Parametric Splines. Chord Length Parametrization and error bounds. Moreover, it's shown that splines also have Convex Hull Property and a technique for interpolation with 94splines is searched. It's found that. a Piecewise Interpolation, especially Piecewise Hermite Interpolation is convinient for many types of curves and surfaces. 95 ; SUMMARY In the introduction part of this thesis, the subject and purpose of this study is introduced. In the first part: By studying certain kinds of curves and surface patches such as, Ferguson Parametric Curves and Patches, Bezier Unisurf Curves and Patches, Bernstein- Bezier Polinomial Curves. Rational Parametric Curves and Surfaces, the use of parametric equations in curve and surface design are examined. These curves and surfaces establish a base for Computer Aided Geometric Design (CAGD). Furthermore, some knowledge about the Characteristic Polygon of a curve, which has applications in the geometric design and a very useful property Convex Hull Property is given. In the ...