Interpolation of Surfaces with Line of Curvature

نویسندگان

چکیده

We introduce a method to construct parametric surfaces interpolating given finite points and curve as line of curvature in 3-dimensional Euclidean space. present an existence theorem $C^{0}$-Hermite interpolation possessing the data. show that every parameter constructed surface is circular helix if helix. The validated with illustrative examples.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

detection of volatile compounds of medicinal plants with some nano-sorbents using modified or new methodologies and investigation of antioxidant activity of their methanolic extracts

in this work, a novel and fast method for direct analysis of volatile compounds (davc) of medicinal plants has been developed by holding a filament from different parts of a plant in the gc injection port. the extraction and analysis of volatile components of a small amount of plant were carried out in one-step without any sample preparation. after optimization of temperature, extraction time a...

construction of vector fields with positive lyapunov exponents

in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...

15 صفحه اول

On Boundary Value Problems for Surfaces of a Prescribed Line Element with Positive Curvature

In this paper the Dirichlet problem for local convex surfaces with a prescribed line element is studied. Utilizing the geometric invariants of surfaces and curves, the invariants of the Dirichlet data will be transformed into invariants of the surface. There are only two other very specific results concerning boundary value problems in the context of surfaces with prescribed line element. These...

متن کامل

ذخیره 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: International electronic journal of geometry

سال: 2021

ISSN: ['1307-5624']

DOI: https://doi.org/10.36890/iejg.890585