Special aspects of electric charge distribution on conductor surface with shape transformation

2016 ◽  
Author(s):  
Поляков ◽  
Petr Polyakov ◽  
Самухина ◽  
Yuliya Samukhina ◽  
Русаковка ◽  
...  
Keyword(s):  
Charge Distribution ◽  
Analytical Solutions ◽  
3D Graphics ◽  
Electrostatic Problem ◽  
Shape Transformation ◽  
Solution Sets ◽  
Conductor Surface ◽  
Conducting Bodies ◽  
2D And 3D ◽  
Electric Charge Distribution

Few analytical solutions of the electrostatic problem for charge distribution on a conducting body surface are known nowadays. In the paper several new non-trivial forms of conducting bodies that afford an exact analytical solutions were derived. 2D and 3D graphics were plotted as a result of analysis of the solutions. It was also shown that the method in the paper allows to derive infinite solution sets of the problem for charge distribution on a conductor surface within four classes.

scholarly journals Object Metamorphosis Based on Generalized Morphology Transformation

2001 ◽  
Vol 5 (1) ◽  
pp. 92-103
Author(s):  
Hua Li ◽  
Wenyu Liu ◽  
Guangxi Zhu ◽  
Yaoting Zhu
Keyword(s):  
Computer Animation ◽  
Industrial Design ◽  
Simple Computation ◽  
Shape Transformation ◽  
High Quality ◽  
Growth Simulation ◽  
Novel Approach ◽  
Polyhedral Objects ◽  
2D And 3D

A metamorphosis or a morphing is the process of continuously transforming one object into another, and are popular in computer animation, industrial design, and growth simulation. In this paper, a novel approach is presented for computing continuous shape transformation between polyhedral objects in this paper. Metamorphosis can be achieved by decomposing two objects into sets of individual convex sub-objects respectively and constructing the mapping between two sets, this method can solve the metamorphosis problem of two non-homotopic objects (including concave objects and holey objects). The results of object metamorphosis are discussed in this paper. The experiments show that this method can generate natural, high quality metamorphosis results with simple computation. This method can also be used in font composition and interpolation between two keyframes in 2D and 3D computer animation automatically.

scholarly journals New Analytical Solutions of Fractional Symmetric Regularized-Long-Wave Equation

2020 ◽  
Vol 66 (3 May-Jun) ◽  
pp. 297
Author(s):  
Mehmet Senol
Keyword(s):  
Wave Equation ◽  
Analytical Solutions ◽  
Fractional Derivatives ◽  
Algebraic Method ◽  
Symbolic Calculation ◽  
Solution Sets ◽  
Flow Models ◽  
Long Wave ◽  
Regularized Long Wave Equation ◽  
Fractional Differential

In this study, new extended direct algebraic method is successfully implemented to acquire new exact wave solution sets for symmetric regularized-long-wave (SRLW) equation which arise in long water flow models. By the help of Mathematica symbolic calculation package, the method produced a great number of analytical solutions. We also presented a few graphical illustrations for some surfaces. The fractional derivatives are considered in the conformable sense. All of the solutions were checked by substitution to ensure the reliability of the method. Obtained results confirm that the method is straightforward, powerful and effective method to attain exact solutions for nonlinear fractional differential equations. Therefore, the method is a good candidate to take part in the existing literature.

Design and Development of Gesture Based Gaming Console

2021 ◽  
pp. 51-56
Author(s):  
Sarika Chaudhary ◽  
Shalini Bhaskar Bajaj ◽  
Aman Jatain ◽  
Pooja Nagpal
Keyword(s):  
Future Development ◽  
Video Game ◽  
Computer Game ◽  
3D Graphics ◽  
Game Engine ◽  
Web Browser ◽  
Unity 3D ◽  
Game Controller ◽  
Gaming Environment ◽  
2D And 3D

Game controllers have been planned and improved throughout the years to be as easy to understand as could reasonably be expected. A game controller is a gadget utilized with games or theatre setups to give contribution to a computer game, commonly to control an item or character in the game. Information gadgets that have been named game controllers incorporate consoles, mice, gamepads, joysticks, and so on. A few controllers are intended to be purposely best for one sort of game, for example, guiding wheels for driving games, move cushions for moving games, and light firearms for firing games. The aim here is to create a virtual environment, where the user is appealed by various gesture controls in a gaming application. A Gesture is an action that has to be seen or felt by someone else (here a PC) and has to convey some piece of information. Now obviously, to create a virtual gaming environment, we need to create a real-time gaming application first. We’ll be designing our 2D and 3D gaming applications through Unity 3D video game engine. The data used in this project is primarily from the Ego Hands dataset. After an input has been taken, and the consequent action has been performed, we’ll use this activity for future development of the model by using Tensor-Flow. The input will be taken through the webcam of the PC which will be accessed and combined to the gaming application and hands dataset by WebGL. WebGL is a JavaScript API for rendering interactive 2D and 3D graphics within any compatible web browser without the use of plug-ins.

scholarly journals Analytical solutions describing the oblique flow of a viscous incompressible fluid around a dendritic crystal

2021 ◽  
Author(s):  
Dmitri Alexandrov ◽  
Peter Galenko
Keyword(s):  
Incompressible Fluid ◽  
Analytical Solutions ◽  
Viscous Incompressible Fluid ◽  
Fluid Velocity ◽  
Curvilinear Coordinates ◽  
Velocity Change ◽  
Dendritic Crystal ◽  
Oblique Flow ◽  
Approximate Analytical Solutions ◽  
2D And 3D

This article considers the hydrodynamic problem of an oblique flow of a viscous incompressible fluid around the tip of a dendritic crystal. Approximate analytical solutions of Oseen’s hydrodynamic equations are obtained in 2D and 3D cases using special curvilinear coordinates. It is shown that the projections of the fluid velocity change significantly with a change in the flow slope and Reynolds number. The theory developed in this work has a limiting transition to the previously known solutions for the rectilinear (without tilt) fluid flow around a dendrite.

scholarly journals Evaluation of the Capacitance and Charge Distribution for Conducting Bodies by Circuit Modelling

2016 ◽  
Vol 07 (04) ◽  
pp. 280-291 ◽  
Author(s):  
Dhamodaran Muneeswaran ◽  
Dhanasekaran Raghavan
Keyword(s):  
Charge Distribution ◽  
Conducting Bodies ◽  
Circuit Modelling
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