An approach for designing a surface pencil through a given geodesic curve
نویسندگان
چکیده
منابع مشابه
A new method for designing a developable surface utilizing the surface pencil through a given curve
This paper proposes a new method for designing a developable surface by constructing a surface pencil passing through a given curve, which is quite in accord with the practice in industry design and manufacture. By utilizing the Frenet trihedron frame, we derive the necessary and sufficient conditions to construct a developable surface through a given curve. Considering the requirements in shoe...
متن کاملAn Approach for Designing a Developable Surface with a Common Geodesic Curve
This paper presents an approach for designing a developable surface possessing a given curve as the geodesic of it. We analyze the necessary and sufficient conditions when the resulting developable surface is a cylinder, cone or tangent surface. Also, we solve the problem of requiring the surfaces of revolution which are developable surfaces. Finally, we illustrate the convenience and efficienc...
متن کاملConstruction of a surface pencil with a common special surface curve
In this study, we introduce a new type of surface curves called $D$-type curve. This curve is defined by the property that the unit Darboux vector $vec{W}_{0} $ of a surface curve $vec{r}(s)$ and unit surface normal $vec{n} $ along the curve $vec{r}(s)$ satisfy the condition $leftlangle vec{n} ,vec{W}_{0} rightrangle =text{constant}$. We point out that a $D$-type curve is a geodesic curve or an...
متن کاملA New Approach for Designing Rational Bézier Surfaces from a Given Geodesic ?
This paper proposes an approach to design the surface pencil with specified parametric representations from a given geodesic. The surface was considered as a combination of the marching-scale functions and the Frenet trihedron frame, for which some necessary and sufficient conditions must be met. This paper simplifies those conditions, and represents the surface by combination of control points...
متن کاملDesigning a model for children education through TV with a cognitive approach for environmental education
Our aim in this research is to design a model for children TV education with a cognitive approach to environmental education. People are bombarded by information in the media age, and this subjection to various news has made the learning process hard. Especially because a part of this sort of education is done by these media. The public education whose addressees are the public is done by mass ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
سال: 2021
ISSN: 1303-5991
DOI: 10.31801/cfsuasmas.798620