In order to complement a fast developing imaging technology, effective methods are needed to process the data produced into meaningful and impactful representation or visualization. These representations are usually in the form of lines, curves and surfaces. This paper presents the construction of a new quadratic trigonometric Beta spline functions with a shape parameter to design or fit curves. The shape parameter plays the role of controlling the behavior of the curve besides producing smooth shaped curves without altering the control points. The spline satisfies all the geometric properties of the usual quadratic Bézier curve. The properties are proved in this research. The curve approaches the middle control point as the parameter values are varied and can be made to be as close as possible to the control polygon. Trigonometric function is also interesting in the sense that it guarantees smooth curves even at high parametric speed. The degree of continuity is examined in joining two adjacent constructed curves. Several results are presented to show the usefulness of this spline functions.
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28 June 2018
PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): Mathematical Sciences as the Core of Intellectual Excellence
27–29 August 2017
Pahang, Malaysia
Research Article|
June 28 2018
G1 quadratic trigonometric beta spline with a shape parameter
Nur Azliana Azlin A. Munir;
Nur Azliana Azlin A. Munir
a)
1
Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA
, 40450 Shah Alam, Malaysia
a)Corresponding author: [email protected]
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Fatimah Yahya;
Fatimah Yahya
b)
1
Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA
, 40450 Shah Alam, Malaysia
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Normi A. Hadi
Normi A. Hadi
c)
1
Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA
, 40450 Shah Alam, Malaysia
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AIP Conf. Proc. 1974, 030028 (2018)
Citation
Nur Azliana Azlin A. Munir, Fatimah Yahya, Normi A. Hadi; G1 quadratic trigonometric beta spline with a shape parameter. AIP Conf. Proc. 28 June 2018; 1974 (1): 030028. https://doi.org/10.1063/1.5041672
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