A Robust Approach to Find the Control Points for Wide Variety of 3rd Order Bzier Curves

Alok Kumar Chowdhury; Prithwi Raj Chakraborty; Md. Ibrahim Khan

A Robust Approach to Find the Control Points for Wide Variety of 3rd Order Bzier Curves

Alok Kumar Chowdhury * §

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Prithwi Raj Chakraborty §

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Md. Ibrahim Khan ‡

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sujan_cse_04 §

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§ Premier University, Chittagong, Bangladesh.

‡ Chittagong University of Engineering & Technology

A Robust Approach to Find the Control Points for Wide Variety of 3rd Order Bzier Curves

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Abstract

This paper represents a new approach that can recover the control points for wide variety of 3 rd order Bézier curves. In this regards, the two stage approximation learning algorithm is adopted with some modifications. At 1st stage our key feature is segmentation of the curve which can determine intermediate points of the wide variety of curves. In this respect, an efficient recursive algorithm is used to find out the height of the curve (h) with less iteration. The proposed approach introduced horizontal segmentation rather than vertical segmentation. Different height (H), where the 2 nd and 3 rd control point are assumed, and also the step-size (∂ ), at which the control points are moved toward the actual direction, are used to find out the exact location of the control points. Experimental results demonstrate that our proposing method can recover control points for wide variety of curves with minimum error level and less iteration. Wide variety of curve shapes are used to test the proposing approach and results are presented to prove its effectiveness.

References

19 Cites in Article

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Alok Kumar Chowdhury, Prithwi Raj Chakraborty, Md. Ibrahim Khan, sujan_cse_04. 1970. "A Robust Approach to Find the Control Points for Wide Variety of 3rd Order Bzier Curves". Global Journal of Computer Science and Technology - B: Cloud & Distributed GJCST-B Volume 11 (GJCST Volume 11 Issue B18).

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GJCST Volume 11 Issue B18

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Journal Specifications

Crossref Journal DOI 10.17406/gjcst

Print ISSN 0975-4350

e-ISSN 0975-4172

Keywords

Bézier curve curve fitting learning algorithms segmentation of curve

Classification

GJCST-B Classification

Submission ReceivedAugust 28, 2011
Peer Review Double Blind
Handling Editor
Accepted September 17, 2011
Published September 27, 2011

Version of record

v1.2

Language

English

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Article Matrices

Total Score: 104

Country: Bangladesh

Subject: Global Journal of Computer Science and Technology - B: Cloud & Distributed

Authors: Alok Kumar Chowdhury,Prithwi Raj Chakraborty,Md. Ibrahim Khan,Sujan Chowdhury (PhD/Dr. count: 0)

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Publish Date: 2011 09, Tue

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