Modified Bézier Curves with Shape-Preserving Characteristics Using Differential Evolution Optimization Algorithm
Joint Authors
Zaman, Mohammad Asif
Chowdhury, Shuvro
Source
Advances in Numerical Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A parametric equation for a modified Bézier curve is proposed for curve fitting applications.
The proposed equation contains shaping parameters to adjust the shape of the fitted curve.
This flexibility of shape control is expected to produce a curve which is capable of following any sets of discrete data points.
A Differential Evolution (DE) optimization based technique is proposed to find the optimum value of these shaping parameters.
The optimality of the fitted curve is defined in terms of some proposed cost parameters.
These parameters are defined based on sum of squares errors.
Numerical results are presented highlighting the effectiveness of the proposed curves compared with conventional Bézier curves.
From the obtained results, it is observed that the proposed method produces a curve that fits the data points more accurately.
American Psychological Association (APA)
Zaman, Mohammad Asif& Chowdhury, Shuvro. 2013. Modified Bézier Curves with Shape-Preserving Characteristics Using Differential Evolution Optimization Algorithm. Advances in Numerical Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-503905
Modern Language Association (MLA)
Zaman, Mohammad Asif& Chowdhury, Shuvro. Modified Bézier Curves with Shape-Preserving Characteristics Using Differential Evolution Optimization Algorithm. Advances in Numerical Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-503905
American Medical Association (AMA)
Zaman, Mohammad Asif& Chowdhury, Shuvro. Modified Bézier Curves with Shape-Preserving Characteristics Using Differential Evolution Optimization Algorithm. Advances in Numerical Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-503905
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503905