On Generalization to Develop Model of Details of the Leaf Margin using the B-Spline Offset Research on the Leaf Shape Modeling
Norazman Arbin1, Siti Noor Asyikin Mohd Razali2, Mustafa Mamat3

1Norazman Arbin, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, Perak, Malaysia.
2Siti Noor Asyikin Mohd Razali, Department of Mathematics and Statistic, Faculty of Applied Science and Technology, Universiti Tun Hussein Onn Malaysia, Johor, Malaysia.
3Mustafa Mamat, Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Malaysia.
Manuscript received on 18 July 2019 | Revised Manuscript received on 03 August 2019 | Manuscript Published on 10 August 2019 | PP: 374-376 | Volume-8 Issue-2S3 July 2019 | Retrieval Number: B10640782S319/2019©BEIESP | DOI: 10.35940/ijrte.B1064.0782S319
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: The aim of this research is to develop a new model of details for the leaf serration before wrapping it onto the overall leaf margin. For this purpose, we used the offset of the original leaf shape outline. The model of the leaf consists of several leaf parts are represented with B-spline curves which also represent the offset. We propose a new algorithm to represent the pattern of the details. The details are applied as an offset to the underlying curve. An algorithm how the pattern combines to the margin was also explained. The results of the drawings are divided into three categories: satisfactory, acceptable, and unsatisfactory. Expert botanist was referred to assess the drawing result to ensure the result is parallel with a botanical point of view. The findings show that the geometry of the details was satisfactory, except for some minor distortion. As the implication, this research allows novice botanists and amateurs to readily see a picture which they might find it hard to visualize before.
Keywords: B-splines Curve, Offset, Serration, Underlying Curve.
Scope of the Article: Open Models and Architectures