Results 11 to 20 of about 32,621 (175)

Fuzzy Intuitionistic Alpha-cut Interpolation Rational Bézier Curve Modeling for Shoreline Island Data [PDF]

open access: yesMalaysian Journal of Fundamental and Applied Sciences, 2023
The problem of uncertain data cannot be solved by conventional methods, which results in inaccurate data analysis and prediction. During the data collecting phase, ambiguous data are often collected, but they cannot be used immediately to generate ...
Siti Nasyitah Jaman   +2 more
semanticscholar   +2 more sources

How Null Vector Performs in a Rational Bézier Curve with Mass Points

open access: yesGeometry
This article points out the kinematics in tracing a Bézier curve defined by control mass points. A mass point is a point with a non-positive weight, a non-negative weight or a vector with a null weight.
L. Garnier, J. Bécar, Laurent Fuchs
semanticscholar   +2 more sources

Two Simulated Annealing Optimization Schemas for Rational Bézier Curve Fitting in the Presence of Noise [PDF]

open access: yes, 2016
Fitting curves to noisy data points is a difficult problem arising in many scientific and industrial domains. Although polynomial functions are usually applied to this task, there are many shapes that cannot be properly fitted by using this approach.
A. Iglesias, A. Gálvez, C. Loucera
semanticscholar   +2 more sources

Limit properties of rational Bézier curves with mixed weights(具有混合权函数的有理Bézier曲线的极限性质)

open access: yesZhejiang Daxue xuebao. Lixue ban
The weights of a rational Bézier curve play a crucial role in shape modification of the curve. As the weight of a rational Bézier curve approaches infinity, the curve tends towards the corresponding control point.
魏琦文(WEI Qiwen)   +3 more
doaj   +2 more sources

Method for Connection of Two G2 Data Sets by the Use of a Quintic Rational Bézier Curve Defined with Mass Control Points

open access: yesWSEAS Transactions on Mathematics
The paper deals with the G 2 continuity for planar curves. The G 2 continuity is considered as a superior quality of curvature, which is often sought after in high-precision designs and industrial applications.
L. Garnier, J. Bécar, Laurent Fuchs
semanticscholar   +2 more sources

On the derivatives of rational Bézier curves

open access: yesEngineering computations
PurposeWe identify several theoretical shortcomings in the derivative formulas for rational Bézier curves and propose a new formula for the derivatives.Design/methodology/approachDependence on control points gives a new recursive approach to the ...
Mao Shi
semanticscholar   +3 more sources

C1 rational quadratic trigonometric spline

open access: yesEgyptian Informatics Journal, 2013
A Bézier like C1 rational quadratic trigonometric polynomial spline is developed. It defines two shape parameters in each subinterval. The approximation and geometric properties are investigated. The curvature continuity is established.
Maria Hussain, Sidra Saleem
doaj   +2 more sources

A Novel Bézier LSTM Model: A Case Study in Corn Analysis

open access: yesMathematics
Accurate prediction of agricultural product prices is instrumental in providing rational guidance for agricultural production planning and the development of the agricultural industry.
Qingliang Zhao   +3 more
doaj   +2 more sources

APPROXIMATION OF FREE-FORM CURVE – AIRFOIL SHAPE [PDF]

open access: yesJournal of Engineering Science and Technology, 2013
Approximation of free-form shape is essential in numerous engineering applications, particularly in automotive and aircraft industries. Commercial CAD software for the approximation of free-form shape is based almost exclusively on parametric polynomial ...
CHONG PERK LIN, CHEONG KHAI YIP
doaj   +1 more source

Determining implicit equation of conic section from quadratic rational Bézier curve using Gröbner basis

open access: yesJournal of Physics: Conference Series, 2021
The Gröbner Basis is a subset of finite generating polynomials in the ideal of the polynomial ring k[x 1,…,xn ]. The Gröbner basis has a wide range of applications in various areas of mathematics, including determining implicit polynomial equations.
Y. Anwar, H. Tasman, N. Hariadi
semanticscholar   +1 more source

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