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Extension of Cubic Trigonometric Polynomial Bézier Curve

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Abstract:

A cubic trigonometric Bézier curve analogous to the cubic Bézier curve, with two shape parameters, is presented in this work. The shape of the curve can be adjusted by altering the values of shape parameters while the control polygon is kept unchanged. With the shape parameters, the cubic trigonometric Bézier curves can be made close to the cubic Bézier curves or closer to the given control polygon than the cubic Bézier curves. The ellipses can be represented exactly using cubic trigonometric Bézier curves. In the same time, joining two cubic Bézier curves is presented.

Keywords: COMPUTER AIDED GEOMETRIC DESIGN (CAGD); JOINING; SHAPE PARAMETERS; TRIGONOMETRIC BÉZIER CURVE; TRIGONOMETRIC POLYNOMIAL

Document Type: Research Article

DOI: http://dx.doi.org/10.1166/asem.2011.1113

Publication date: December 1, 2011

More about this publication?
  • Advanced Science, Engineering and Medicine (ASEM) is a science, engineering, technical and medical journal focused on the publishing of peer-reviewed multi-disciplinary research articles dealing with all fundamental and applied research aspects in the areas of (1) Physical Sciences, (2) Engineering, (3) Biological Sciences/Health Sciences, (4) Medicine, (5) Computer and Information Sciences, (6) Mathematical Sciences, (7) Agriculture Science and Engineering, (8) Geosciences, and (9) Energy/Fuels/Environmental/Green Science and Engineering.
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