Designing of objects using smooth cubic splines

(2005) Designing of objects using smooth cubic splines. Masters thesis, King Fahd University of Petroleum and Minerals.


Download (9MB) | Preview

Arabic Abstract


English Abstract

With the growing trend of computer graphics application in various fields such as, Automobile industry, Aeronautical engineering, Ships designing, Mechanical instrumentation, Animation, Fonts designing etc, it is desirable to have mathematical representation of physical objects in curve and/or surface formulation. A lot of research is done in order to acquire an optimized curve designing scheme. The curves which are robust and easy to control and computer are of more interest. Of all the possibilities in curve designing, the cubic functions are the most powerful as they can be used to define space curves and curves with inflections. More over these functions are easy and efficient in computation. The ideas such as end point interpolation, detection of characteristic points, least square approximation, recursive subdivision and parameterization can be used for curve fitting.

Item Type: Thesis (Masters)
Subjects: Computer
Department: College of Computing and Mathematics > Information and Computer Science
Committee Advisor: Sarfraz, Muhammad
Committee Members: Al-Mulhem, Mohammad Saleh and Al-Khatib, Wasfi Ghassan
Depositing User: Mr. Admin Admin
Date Deposited: 22 Jun 2008 14:06
Last Modified: 01 Nov 2019 14:02