Sains Malaysiana 44(8)(2015): 1203-1208

Pembinaan Semula Fon dengan Bézier Kubik Menggunakan Evolusi Pembezaan

(Reconstruction of Font with Cubic Bézier Using Differential Evolution)

NURSHAZNEEM ROSLAN* & ZAINOR RIDZUAN YAHYA

Institut Matematik Kejuruteraan (IMK), Universiti Malaysia Perlis (UniMAP), Kampus Pauh Putra

02600 Arau, Perlis Indera Kayangan, Malaysia

Received: 21 November 2014/Accepted: 9 April 2015

ABSTRAK

Pembinaan semula lengkung banyak digunakan dalam kejuruteraan balikan untuk menghasilkan lengkung. Dalam kajian ini, evolusi pembezaan (EP) digunakan untuk mencari nilai titik kawalan yang optimum bagi lengkung Bézier kubik. Nilai titik kawalan yang diperoleh akan digunakan dalam persamaan lengkung Bézier kubik dan jumlah ralat antara imej sebenar dengan lengkung parametrik yang baru dihitung dengan menggunakan jumlah ralat kuasa dua (JRKD).

Kata kunci: Evolusi pembezaan; jumlah ralat kuasa dua (JRKD); lengkung Bézier kubik; pembinaan semula lengkung

ABSTRACT

Curve reconstructions are widely used in reverse engineering to produce the curves. In this study, differential evolution (DE) is used to find the optimal value for the control points of cubic Bézier curve. The value of these control points will be used in the equation of cubic Bézier curve and the amount of the error between the actual images with the new parametric curve is calculated by using sum square error (SSE).

Keywords: Cubic Bézier curve; curve reconstruction; differential evolution; sum square error (SSE)

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*Corresponding author; email: nurshazneem@unimap.edu.my