A mathematical model for ECG waveform using rational Bézier curves and Bernstein polynomials

Author

Chutchavong, Vansia ; Nualon, K. ; Sangaroon, O. ; Janchitrapongvej, K.

Author_Institution

Dept. of Comput. Eng., King Mongkut´s Inst. of Technol. Ladkrabang, Bangkok, Thailand

fYear

2014

fDate

14-17 May 2014

Firstpage

1

Lastpage

5

Abstract

This paper presents a mathematical model for ECG waveform using Rational Bezier curves and Bernstein polynomials. There are three mathematical models; the Bernstein polynomials model, the Bézier-Bernstein model and the Rational Bézier-Bernstein model. All mathematical models can generate the ECG waveform which is similar to the normal ECG waveform. Moreover, all mathematical models can simulate a normal ECG waveform as well. As the results, the Rational Bezier-Bernstein model is a simple form, easy to make a circuit and lower cost in the implementation of the ECG waveform.

Keywords

electrocardiography; mathematical analysis; polynomials; waveform generators; Bernstein polynomial model; ECG waveform generation; ECG waveform implementation; Rational Bezier-Bernstein model; circuit; mathematical model; normal ECG waveform simulation; rational Bezier curves; Approximation methods; Computational modeling; Electrocardiography; Integrated circuit modeling; Mathematical model; Numerical models; Polynomials; Bézier curves; Bernstein polynomials; ECG; Rational Bézier curves;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON), 2014 11th International Conference on

Conference_Location

Nakhon Ratchasima

Type

conf

DOI

10.1109/ECTICon.2014.6839844

Filename

6839844