Modified Bézier curves with shape-preserving characteristics using differential evolution optimization algorithm
type: Item
instance of: scholarly article
title: Modified Bézier curves with shape-preserving characteristics using differential evolution optimization algorithm
zbMATH Open document ID: 1268.65027
DOI: 10.1155/2013/858279
author: Mohammad Asif Zaman
author: Shuvro Chowdhury
published in: Advances in Numerical Analysis
publication date: 2013-06-07T00:00:00Z
review text: Summary: 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 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 the 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.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D10
zbMATH DE Number: 6171669
zbMATH Keywords: Bézier curve
zbMATH Keywords: curve fitting
zbMATH Keywords: shape control
zbMATH Keywords: differential evolution optimization
zbMATH Keywords: numerical results
Wikidata QID: Q58919040
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/858279
OpenAlex ID: W2035081182
cites work: Q4358561
cites work: Q4883789
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description: scientific article; zbMATH DE number 6171669