Designing by constructing Cubic Trigonometric Nu B-Spline with Arabic Font

Authors

  • Jaweria Aslam Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan
  • Hijaz Ahmad Operational Research Center in Healthcare, Near East University, Nicosia/TRNC, 99138 Mersin 10, Turkey
  • Shamaila Samreen Department of Mathematics, University of Engineering and Technology,Lahore, Pakistan
  • Humaal Shafiq Department of Mathematics, University of Engineering and Technology,Lahore, Pakistan
  • Imran Siddique Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan

DOI:

https://doi.org/10.52280/cn4vtx35

Keywords:

Trigonometric B-spline, Blending Bezier basis, Single tension parameter, Fonts, Cubic Trigonometric Nu B-Spline, Geometric Continuity

Abstract

In stark contrast to the Latin script used in English, Arabic script is a cursive writing system that is written from right to left. The structure of the Arabic script and the relationships between the charac ters must be thoroughly understood while designing Arabic fonts. In this research, a novel freeform spline method is built for the designing and modeling of Arabic characters and letters, with practical interpolative and approximation features. Authors have constructed a new trigonometric nuB-spline technique which is different in construction from the simple B-spline and  contains shape parameters that help in designing. As in this paper, Arabic fonts are 
formatted by using suggested spline techniques. The proposed technique possesses  geometric continuity of order 2 and satisfies B-spline properties such as property of  local support, property of positivity, and property of unity. Moreover, different Arabic  typefaces are used to demonstrate geometric features such as affine invariance, variation  decreasing, and convex hull. Likewise, shape properties are successfully employed at  points, intervals, and each side by using a single parameter family. The goal of  smoothness and flexibility has also been achieved by the shape features. Numerous  data points are collected through human contact, which takes a little bit longer than  scanning illustrations yet leads to excellent results.

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Published

2025-11-28

Issue

Section

Articles

How to Cite

Designing by constructing Cubic Trigonometric Nu B-Spline with Arabic Font. (2025). Punjab University Journal of Mathematics, 57(6), 632-651. https://doi.org/10.52280/cn4vtx35