Nor Azizam, Nur Syafiqah and Arsad, Noor Adzleen (2019) A comparison between λµ BSpline, cubic Trigonometric Bezier and quasiquintic trigonometric Bezier / Nur Syafiqah Nor Azizam & Noor Adzleen Arsad. Degree thesis, Universiti Teknologi MARA.
Abstract
In dealing with curves and surface of shapes, ComputerAided Geometric Design (CAGD) is an application used widely in numerous fields such as medical, automotive, aerospace and shipbuilding. BSpline and Bezier are methods, which play major roles in developing these curves in CAGD weather for twodimensional shape or threedimensional shape. Lately, few researches that come out with numerous methods of Bezier and BSpline with multiple shapes parameter have been found. With multiple shape parameters, it gives a local control on the shape curve and flexibility in adjusting the behavior of the shapes compare to single shape parameters. Hence, in this research, λµ BSpline curve, cubic trigonometric Bezier curve and quasiquintic trigonometric Bezier curve with two shape parameters λ and p are present in designing twodimensional shapes to show the differences between all the methods. Therefore, designers can see clearly the differences and have the best method in generating curves. . A comparison between these three methods are made from a few aspects such as shape parameters behavior, generation of curves and control points. The control polygon is kept unchanged while the modification of the shape parameters is made on different shape of curves time by time. The behavior of each shape are observe. The observation shows that λµ BSpline of X=1 and p=l is the best method to apply in designing twodimensional shapes as it give more advantages compared to the other two methods, cubic trigonometric Bezier and quasiquintic trigonometric Bezier. From all the comparisons that have been made, a designing tool with altering shapes parameter function are generate.
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Item Type:  Thesis (Degree)  

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Subjects:  Q Science > QA Mathematics > Mathematical statistics. Probabilities Q Science > QA Mathematics > Mathematical statistics. Probabilities > Data processing Q Science > QA Mathematics > Analysis > Mappings (Mathematics) Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems Q Science > QC Physics > Mathematical physics > Finite element method 

Divisions:  Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences  
Programme:  Bachelor of Science (Hons) Computational Mathematics  
Item ID:  41358  
Uncontrolled Keywords:  λµ BSpline ; Cubic Trigonometric Bezier ; QuasiQuintic Trigonometric Bezier  
URI:  http://ir.uitm.edu.my/id/eprint/41358 
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