The Dual Drawing Method of the Hyperbolic Paraboloid and the Screen Representation of the Ruling

نویسندگان

  • Rena Ding
  • Yan Zhang
چکیده

Ruled surface design and its applications are widely used in CAGD(Computer Aid Geometric Design) and industrial areas. In this paper, the hyperbolic paraboloid is a particular ruled surface, which is drawn by using the dual De Casteljau algorithm [15]. The characteristics of the hyperbolic paraboloid are analysed in order to match the requirement of the dual De Casteljau algorithm. A new method for the screen representation of the ruling is introduced. The new method presents the ruling as a clipped line segment on the screen in order to show the proportion of the ruled surface on the screen. The two new methods represent the universal approach to draw ruled surfaces by a combination of the theoretical and practical aspects of dual methods.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Dual Space Drawing Methods for Ruled Surfaces with Particular Shapes

Ruled surface design and its applications are widely used in CAGD (Computer Aided Geometric Design) and industrial areas. The hyperbolic paraboloid, the cylinder, the cone, and the hyperboloid are ruled surfaces with particular shapes. In this paper, dual space drawing methods for these particular ruled surfaces are proposed. The underlying principles of these methods are the applications, exte...

متن کامل

Analytical Analysis of The Dual-phase-lag Heat Transfer Equation in a Finite Slab with Periodic Surface Heat Flux (RESEARCH NOTE)

This work uses the dual-phase-lag (DPL) model of heat conduction to demonstrate the effect of temperature gradient relaxation time on the result of non-Fourier hyperbolic conduction in a finite slab subjected to a periodic thermal disturbance. DPL model combines the wave features of hyperbolic conduction with a diffusion-like feature of the evidence not captured by the hyperbolic case. For the ...

متن کامل

Representation of a nanoscale heterostructure dual material gate JL-FET with NDR characteristics

In this paper, we propose a new heterostructure dual material gate junctionless field-effect transistor (H-DMG-JLFET), with negative differential resistance (NDR) characteristic. The drain and channel material are silicon and source material is germanium. The gate electrode near the source is larger. A dual gate material technique is used to achieve upward band bending in order to access n-i-p-...

متن کامل

A New Dictionary Construction Method in Sparse Representation Techniques for Target Detection in Hyperspectral Imagery

Hyperspectral data in Remote Sensing which have been gathered with efficient spectral resolution (about 10 nanometer) contain a plethora of spectral bands (roughly 200 bands). Since precious information about the spectral features of target materials can be extracted from these data, they have been used exclusively in hyperspectral target detection. One of the problem associated with the detect...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003