**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**15

# Search results for: Bezier.

##### 15 The Distance between a Point and a Bezier Curveon a Bezier Surface

**Authors:**
Wen-Haw Chen,
Sheng-Gwo Chen

**Abstract:**

**Keywords:**
Geodesic-like curve,
distance,
projection,
Bezier.

##### 14 Approximating Maximum Speed on Road from Curvature Information of Bezier Curve

**Authors:**
M. Y. Misro,
A. Ramli,
J. M. Ali

**Abstract:**

**Keywords:**
Speed estimation,
path constraints,
reference
trajectory,
Bezier curve.

##### 13 The Control Vector Scheme for Design of Planar Primitive PH curves

**Authors:**
Ching-Shoei Chiang,
Sheng-Hsin Tsai,
James Chen

**Abstract:**

**Keywords:**
PH curve,
hodograph,
Bézier curve.

##### 12 Computations of Bezier Geodesic-like Curves on Spheres

**Authors:**
Sheng-Gwo Chen,
Wen-Haw Chen

**Abstract:**

**Keywords:**
Geodesics,
Geodesic-like curve,
Spheres,
Bezier.

##### 11 Geometric Modeling of Illumination on the TFT-LCD Panel using Bezier Surface

**Authors:**
Kyong-min Lee,
Moon Soo Chang,
PooGyeon Park

**Abstract:**

**Keywords:**
Bezier,
defect,
geometric modeling,
illumination,
inspection,
LCD,
panel.

##### 10 Mobile Robot Path Planning Utilizing Probability Recursive Function

**Authors:**
Ethar H. Khalil,
Bahaa I. Kazem

**Abstract:**

**Keywords:**
Mobile robot,
path planning,
Bezier curve.

##### 9 Shape Error Concealment for Shape Independent Transform Coding

**Authors:**
Sandra Ondrušová,
Jaroslav Polec

**Abstract:**

**Keywords:**
error concealment,
shape coding,
object-based
image,
NURBS,
Bézier curves.

##### 8 Arc Length of Rational Bezier Curves and Use for CAD Reparametrization

**Authors:**
Maharavo Randrianarivony

**Abstract:**

**Keywords:**
Adaptivity,
Length,
Parametrization,
Rational Bezier

##### 7 Dynamic Optimization of Industrial Servomechanisms using Motion Laws Based On Bezier Curves

**Authors:**
Giovanni Incerti

**Abstract:**

The motion planning procedure described in this paper has been developed in order to eliminate or reduce the residual vibrations of electromechanical positioning systems, without augmenting the motion time (usually imposed by production requirements), nor introducing overtime for vibration damping. The proposed technique is based on a suitable choice of the motion law assigned to the servomotor that drives the mechanism. The reference profile is defined by a Bezier curve, whose shape can be easily changed by modifying some numerical parameters. By means of an optimization technique these parameters can be modified without altering the continuity conditions imposed on the displacement and on its time derivatives at the initial and final time instants.

**Keywords:**
Servomechanism,
residual vibrations,
motion optimization.

##### 6 Circular Approximation by Trigonometric Bézier Curves

**Authors:**
Maria Hussin,
Malik Zawwar Hussain,
Mubashrah Saddiqa

**Abstract:**

We present a trigonometric scheme to approximate a circular arc with its two end points and two end tangents/unit tangents. A rational cubic trigonometric Bézier curve is constructed whose end control points are defined by the end points of the circular arc. Weight functions and the remaining control points of the cubic trigonometric Bézier curve are estimated by variational approach to reproduce a circular arc. The radius error is calculated and found less than the existing techniques.

**Keywords:**
Control points,
rational trigonometric Bézier curves,
radius error,
shape measure,
weight functions.

##### 5 Parametric Transition as a Spiral Curve and Its Application in Spur Gear Tooth with FEA

**Authors:**
S. H. Yahaya,
J. M. Ali,
T.A. Abdullah

**Abstract:**

**Keywords:**
Bézier-like cubic function,
Curvature continuity,
Cshapedtransition curve,
Spur gear tooth.

##### 4 Application of Generalized NAUT B-Spline Curveon Circular Domain to Generate Circle Involute

**Authors:**
Ashok Ganguly,
Pranjali Arondekar

**Abstract:**

In the present paper, we use generalized B-Spline curve in trigonometric form on circular domain, to capture the transcendental nature of circle involute curve and uncertainty characteristic of design. The required involute curve get generated within the given tolerance limit and is useful in gear design.

**Keywords:**
Bézier,
Circle Involute,
NAUT B-Spline,
Spur Gear.

##### 3 Aerodynamics and Optimization of Airfoil Under Ground Effect

**Authors:**
Kyoungwoo Park,
Byeong Sam Kim,
Juhee Lee,
Kwang Soo Kim

**Abstract:**

**Keywords:**
Aerodynamics,
Shape optimization,
Airfoil on WIGcraft,
Genetic algorithm,
Computational fluid dynamics (CFD).

##### 2 Flow Modeling and Runner Design Optimization in Turgo Water Turbines

**Authors:**
John S. Anagnostopoulos,
Dimitrios E. Papantonis

**Abstract:**

**Keywords:**
Turgo turbine,
Lagrangian flow modeling,
Surface
parameterization,
Design optimization,
Evolutionary algorithms.

##### 1 An Approach to Polynomial Curve Comparison in Geometric Object Database

**Authors:**
Chanon Aphirukmatakun,
Natasha Dejdumrong

**Abstract:**

**Keywords:**
Bezier curve,
Said-Ball curve,
Wang-Ball curve,
DP curve,
CAGD,
comparison,
geometric object database.