Open Access

ARTICLE

Graphics Evolutionary Computations in Higher Order Parametric Bezier Curves

by Monday Eze^1,*, Charles Okunbor², Deborah Aleburu³, Olubukola Adekola¹, Ibrahim Ramon⁴, Nneka Richard-Nnabu⁵, Oghenetega Avwokuruaye⁶, Abisola Olayiwola³, Rume Yoro⁷, Esomu Solomon⁸

1 Department of Computer Science, Babcock University, Ogun, Nigeria
2 Department of Computer Science, Admiralty University, Delta, Nigeria
3 Department of Computer Science, Caleb University, Imota, Lagos, Nigeria
4 Department of Computer Science Education, Federal College of Education (Tech), Akoka, Lagos, Nigeria
5 Department of Computer Science, Alex Ekwueme Federal University, Ebonyi, Nigeria
6 Department of Cyber Security, Admiralty University, Delta, Nigeria
7 Department of Computer Science, School of ICT, Delta State Polytechnic, Ogwashi-Uku, Delta, Nigeria
8 Department of Computer Science, National Open University, Nigeria

* Corresponding Author: Monday Eze. Email:

Computer Systems Science and Engineering 2022, 41(2), 595-609. https://doi.org/10.32604/csse.2022.020835

Received 10 June 2021; Accepted 14 July 2021; Issue published 25 October 2021

Abstract

This work demonstrates in practical terms the evolutionary concepts and computational applications of Parametric Curves. Specific cases were drawn from higher order parametric Bezier curves of degrees 2 and above. Bezier curves find real life applications in diverse areas of Engineering and Computer Science, such as computer graphics, robotics, animations, virtual reality, among others. Some of the evolutionary issues explored in this work are in the areas of parametric equations derivations, proof of related theorems, first and second order calculus related computations, among others. A Practical case is demonstrated using a graphical design, physical hand sketching, and programmatic implementation of two opposite-faced handless cups, all evolved using quadratic Bezier curves. The actual drawing was realized using web graphics canvas programming based on HTML 5 and JavaScript. This work will no doubt find relevance in computational researches in the areas of graphics, web programming, automated theorem proofs, robotic motions, among others.

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