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Circular Arc Approximation by Quartic H-Bézier Curve

Author(s)
Maria Hussain Department of Mathematics Lahore College for Women University, Pakistan
W. E. Ong School of Mathematical Sciences Universiti Sains Malaysia, Malaysia
Farah Nazir Department of Mathematics University of the Punjab, Lahore, Pakistan
Malik Zawwar Hussain Department of Mathematics University of the Punjab, Lahore, Pakistan
Abstract
The quartic H-Bézier curve is used for the approximation of circular arcs. It has five control points and one positive real free parameter. The four control points are carried out by 1-approximation constraints and the remaining control point is dividing the line segment joining the second and fourth control points in the ratio 1:2. Optimized value of free parameter is obtained by minimizing the maximum value of absolute radius error of the recommended approximation scheme. The developed approximation scheme is found considerably better than the existing approximation schemes for these computed values of control points and optimized value of the free parameter.
Publication Details
Page(s) 417-423
DOI DOI not available
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 13, Issue: 2, Year: 2017

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Keywords
Quartic H-Bézier curve, Control points, Free parameter, 1-approximation constraints, Absolute radius error
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