Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Rotational Surfaces Generated by Cubic Hermitian and Cubic Bezier Curves
View through CrossRef
To
tackle the geometric design in adjusting shapes of rotation surfaces, firstly
the rotation surfaces have been constructed by using cubic Hermitian and cubic
Bezier curves with two local shape parameters. It has been seen that, the new
rotational surfaces which have been constructed have a good performance on
adjusting their shapes by changing the local shape parameters. Also, the
rotational surfaces generated by cubic Hermitian and cubic Bezier curves have provided
a valuable way for the design of interesting surfaces. In this context, some
characterizations have been given for these rotational surfaces obtaining the
mean and Gaussian curvatures of them.
Title: Rotational Surfaces Generated by Cubic Hermitian and Cubic Bezier Curves
Description:
To
tackle the geometric design in adjusting shapes of rotation surfaces, firstly
the rotation surfaces have been constructed by using cubic Hermitian and cubic
Bezier curves with two local shape parameters.
It has been seen that, the new
rotational surfaces which have been constructed have a good performance on
adjusting their shapes by changing the local shape parameters.
Also, the
rotational surfaces generated by cubic Hermitian and cubic Bezier curves have provided
a valuable way for the design of interesting surfaces.
In this context, some
characterizations have been given for these rotational surfaces obtaining the
mean and Gaussian curvatures of them.
Related Results
Generalized Developable Cubic Trigonometric Bézier Surfaces
Generalized Developable Cubic Trigonometric Bézier Surfaces
This paper introduces a new approach for the fabrication of generalized developable cubic trigonometric Bézier (GDCT-Bézier) surfaces with shape parameters to address the fundament...
Construction of Cubic Bezier Curve
Construction of Cubic Bezier Curve
The construction of Bezier curves is one of the curves that are commonly discussed in Computer-Aided Geometric Design (CAGD). This study focuses on cubic Bezier curve. The objectiv...
Metric-induced non-Hermitian physics
Metric-induced non-Hermitian physics
I consider the longstanding issue of the hermiticity of the Dirac equation in curved spacetime. Instead of imposing hermiticity by adding ad hoc terms, I renormalize the field by a...
An Iterative algorithm for $\eta$-(anti)-Hermitian least-squares solutions of quaternion matrix equations
An Iterative algorithm for $\eta$-(anti)-Hermitian least-squares solutions of quaternion matrix equations
Recently, some research has been devoted to finding the explicit forms of the η-Hermitian and η-anti-Hermitian solutions of several kinds of quaternion matrix equations and their...
Rankin-Cohen Brackets for Hermitian Jacobi Forms and Hermitian Modular Forms
Rankin-Cohen Brackets for Hermitian Jacobi Forms and Hermitian Modular Forms
In this thesis, we define differential operators for Hermitian Jacobi forms and Hermitian modular forms over the Gaussian number field Q(i). In particular, we construct Rankin-Cohe...
Progress in Surface Theory
Progress in Surface Theory
The workshop
Progress in Surface Theory
, organised by Uwe Abresch (Bochum), Josef Dorfmeister (München), and Masaaki Umehara (Osaka) was he...
Design of a Linkage System to Write in Cursive
Design of a Linkage System to Write in Cursive
This paper presents a design methodology for a system of linkages that can trace planar Bezier curves that represent cursive handwriting of the alphabet and Chinese characters. Thi...
Curve and Surface Geometric Modeling via Generalized Bézier-like Model
Curve and Surface Geometric Modeling via Generalized Bézier-like Model
Generalized Bernstein-like functions (gB-like functions) with different shape parameters are used in this work. Parametric and geometric conditions in generalized form are develope...