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Circular arc approximation by quartic H-Bézier curve
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نویسنده
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hussain m. ,ong w.e. ,nazir f. ,hussain m.z.
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منبع
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pakistan journal of statistics and operation research - 2017 - دوره : 13 - شماره : 2 - صفحه:417 -423
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چکیده
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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 g1 -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 α 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.
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کلیدواژه
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Absolute radius error; Control points; Free parameter; G1-approximation constraints; Quartic H-Bézier curve
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آدرس
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department of mathematics,lahore college for women university, Pakistan, school of mathematical sciences,universiti sains malaysia, Malaysia, department of mathematics,university of the punjab,lahore, Pakistan, department of mathematics,university of the punjab,lahore, Pakistan
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Authors
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