Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 219, Issue 20, Pages 10183-10197Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2013.03.110
Keywords
Quadratic trigonometric polynomials; Rational quadratic trigonometric Bezier curves; Shape parameters; Parametric continuity; Geometric continuity
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Funding
- School of Mathematical Sciences, Universiti Sains Malaysia
- University of Sargodha, Sargodha, Pakistan
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The rational quadratic trigonometric Bezier curve with two shape parameters is presented in this paper, which is new in literature. The purposed curve inherits all the geometric properties of the traditional rational quadratic Bezier curve. The presence of shape parameters provides a control on the shape of the curve more than that of traditional Bezier curve. Moreover the weight offers an additional control on the curve. Simple constraints for shape parameters are derived using the end points curvature so that their values always fall within the defined range. The composition of two segments of curve using G(2) and C-2 continuity is given. The new curves can accurately represent some conics and best approximates the traditional rational quadratic Bezier curve. (C) 2013 Elsevier Inc. All rights reserved.
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