**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**396

# Search results for: Bezier curve.

##### 396 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.

##### 395 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.

##### 394 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.

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

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

**Abstract:**

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

##### 392 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.

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

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

**Abstract:**

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

##### 390 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.

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

**Authors:**
Maharavo Randrianarivony

**Abstract:**

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

##### 388 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.

##### 387 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.

##### 386 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.

##### 385 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.

##### 384 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.

##### 383 Comparison of the Distillation Curve Obtained Experimentally with the Curve Extrapolated by a Commercial Simulator

**Authors:**
Lívia B. Meirelles,
Erika C. A. N. Chrisman,
Flávia B. de Andrade,
Lilian C. M. de Oliveira

**Abstract:**

**Keywords:**
Distillation curve,
petroleum distillation,
simulation,
true boiling point curve.

##### 382 Determination the Curve Number Catchment by Using GIS and Remote Sensing

**Authors:**
Abouzar Nasiri,
Hamid Alipur

**Abstract:**

In recent years, geographic information systems (GIS) and remote sensing using has increased to estimate runoff catchment. In this research, runoff curve number maps for captive catchment of Tehran by helping GIS and also remote sensing which based on factors such as vegetation, lands using, group of soil hydrology and hydrological conditions were obtained. Runoff curve numbers map was obtained by combining these maps in ARC GIS and SCS table. To evaluate the accuracy of the results, the maximum flow rate of flood which was obtained from curve numbers, was compared with the measured maximum flood rate at the watershed outlet and correctness of curve numbers were approved.

**Keywords:**
Curve number,
GIS,
Remote sensing,
Runoff.

##### 381 Accurate Dimensional Measurement of 3D Round Holes Based on Stereo Vision

**Authors:**
Zhiguo Ren,
Lilong Cai

**Abstract:**

This paper present an effective method to accurately reconstruct and measure the 3D curve edges of small industrial parts based on stereo vision. To effectively fit the curve of the measured parts using a series of line segments in the images, a strategy from coarse to fine is employed based on multi-scale curve fitting. After reconstructing the 3D curve of a hole through a curved surface, its axis is adjusted so that it is parallel to the Z axis with least squares error and the dimensions of the hole can be calculated on the XY plane easily. Experimental results show that the presented method can accurately measure the dimensions of round holes through a curved surface.

**Keywords:**
Stereo Vision,
3D Round Hole Measurement,
Curve Fitting,
3D Curve Reconstruction,
Least Squares Error.

##### 380 Solving 94-bit ECDLP with 70 Computers in Parallel

**Authors:**
Shunsuke Miyoshi,
Yasuyuki Nogami,
Takuya Kusaka,
Nariyoshi Yamai

**Abstract:**

**Keywords:**
Pollard’s rho method,
BN curve,
Montgomery
multiplication.

##### 379 Generating Arabic Fonts Using Rational Cubic Ball Functions

**Authors:**
Fakharuddin Ibrahim,
Jamaludin Md. Ali,
Ahmad Ramli

**Abstract:**

^{1}continuity. The conditions considered are known as the G

^{1}Hermite condition. A simple application of the proposed method is to generate an Arabic font satisfying the required continuity.

**Keywords:**
Continuity,
data interpolation,
Hermite condition,
rational Ball curve.

##### 378 Proposed Developments of Elliptic Curve Digital Signature Algorithm

**Authors:**
Sattar B. Sadkhan,
Najlae Falah Hameed

**Abstract:**

**Keywords:**
Elliptic Curve Digital Signature Algorithm,
DSA.

##### 377 Detection of Keypoint in Press-Fit Curve Based on Convolutional Neural Network

**Authors:**
Shoujia Fang,
Guoqing Ding,
Xin Chen

**Abstract:**

**Keywords:**
Keypoint detection,
curve feature,
convolutional neural
network,
press-fit assembly.

##### 376 Choosing between the Regression Correlation, the Rank Correlation, and the Correlation Curve

**Authors:**
Roger L Goodwin

**Abstract:**

**Keywords:**
Bayesian estimation,
regression model,
rank
statistics,
correlation,
correlation curve.

##### 375 Cost and Productivity Experiences of Pakistan with Aggregate Learning Curve

**Authors:**
Jamshaid ur Rehman,
Shahida Wizarat

**Abstract:**

**Keywords:**
Cost,
Inflection Point,
Learning Curve,
Minima,
Maxima,
and Productivity

##### 374 Preparing the Curve Number (CN) and Surface Runoff Coefficient (C) Map of the Basin in the Aghche Watershed, Iran

**Authors:**
Ali Gholami,
Ebrahim Panahpour,
Amir Hossein Davami

**Abstract:**

**Keywords:**
Aghche Watershed,
Curve Numbers (CV),
Land UseChanges,
Surface Runoff Coefficient(C) Map,
W indicator

##### 373 On the Determination of a Time-like Dual Curve in Dual Lorentzian Space

**Authors:**
Emin Özyılmaz

**Abstract:**

**Keywords:**
Classical Differential Geometry,
Dual Numbers,
DualFrenet Equations,
Time-like Dual Curve,
Position Vector,
DualLorentzian Space.

##### 372 ROC Analysis of PVC Detection Algorithm using ECG and Vector-ECG Charateristics

**Authors:**
J. S. Nah,
A. Y. Jeon,
J. H. Ro,
G. R. Jeon

**Abstract:**

**Keywords:**
Vectorcardiogram (VCG),
Premature Ventricular
contraction (PVC),
ROC (receiver operating characteristic) curve,
ECG

##### 371 The Study of Relative Efficiency in Growth Curve Model

**Authors:**
Nan Chen,
Baoguang Tian

**Abstract:**

In this paper, some relative efficiency have been discussed, including the LSE estimate with respect to BLUE in curve model. Four new kinds of relative efficiency have defined, and their upper bounds have been discussed.

**Keywords:**
Relative efficiency,
LSE estimate,
BLUE estimate,
Upper bound,
Curve model.

##### 370 A Bathtub Curve from Nonparametric Model

**Authors:**
Eduardo C. Guardia,
Jose W. M. Lima,
Afonso H. M. Santos

**Abstract:**

This paper presents a nonparametric method to obtain the hazard rate “Bathtub curve” for power system components. The model is a mixture of the three known phases of a component life, the decreasing failure rate (DFR), the constant failure rate (CFR) and the increasing failure rate (IFR) represented by three parametric Weibull models. The parameters are obtained from a simultaneous fitting process of the model to the Kernel nonparametric hazard rate curve. From the Weibull parameters and failure rate curves the useful lifetime and the characteristic lifetime were defined. To demonstrate the model the historic time-to-failure of distribution transformers were used as an example. The resulted “Bathtub curve” shows the failure rate for the equipment lifetime which can be applied in economic and replacement decision models.

**Keywords:**
Bathtub curve,
failure analysis,
lifetime estimation,
parameter estimation,
Weibull distribution.

##### 369 A Simple Method for Tracing PV Curve of a Radial Transmission Line

**Authors:**
Asfar Ali Khan

**Abstract:**

**Keywords:**
Power Transfer,
PV Curve,
Voltage Stability.

##### 368 Position Vector of a Partially Null Curve Derived from a Vector Differential Equation

**Authors:**
Süha Yılmaz,
Emin Özyılmaz,
Melih Turgut,
Şuur Nizamoğlu

**Abstract:**

In this paper, position vector of a partially null unit speed curve with respect to standard frame of Minkowski space-time is studied. First, it is proven that position vector of every partially null unit speed curve satisfies a vector differential equation of fourth order. In terms of solution of the differential equation, position vector of a partially null unit speed curve is expressed.

**Keywords:**
Frenet Equations,
Partially Null Curves,
Minkowski Space-time,
Vector Differential Equation.

##### 367 Dynamic Voltage Stability Estimation using Particle Filter

**Authors:**
Osea Zebua,
Norikazu Ikoma,
Hiroshi Maeda

**Abstract:**

**Keywords:**
normalized PV curve,
optimal filtering method particle filter,
voltage stability.