Generating Arabic Fonts Using Rational Cubic Ball Functions

Authors: Fakharuddin Ibrahim, Jamaludin Md. Ali, Ahmad Ramli

Abstract:

In this paper, we will discuss about the data interpolation by using the rational cubic Ball curve. To generate a curve with a better and satisfactory smoothness, the curve segments must be connected with a certain amount of continuity. The continuity that we will consider is of type G¹ continuity. The conditions considered are known as the G¹ Hermite condition. A simple application of the proposed method is to generate an Arabic font satisfying the required continuity.

Keywords: Continuity, data interpolation, Hermite condition, rational Ball curve.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1338983

References:

[1] Abdul Majeed and Abd Rahni Mt Piah (2014), Image Reconstruction Using Rational Ball Interpolant and Genetic Algorithm. Applied Mathematical Sciences, Vol. 8, No. 74, 3683-3692.
[2] H.B Said (1989), Generalized Ball Curve and its Recursive Algorithm, ACM. Trans. Graph 8, 360-371.
[3] T.N.T Goodman & H.B Said (1991), Properties of Generalized Ball Curves and Surfaces, Computer Aided Design, 23, 554-560.
[4] Gobithasan, R, Norziah, O, and Jamaludin M.A. (2005), Developing a General Algorithm for Ball Curve with