Rational cubic spirals

AYESHA SHAKEEL; MARIA HUSSAIN; MALIK ZAWWAR HUSSAIN

Author(s)

AYESHA SHAKEEL Department of Mathematics, University of the Punjab, Lahore, Pakistan

MARIA HUSSAIN Lahore College for Women University,Lahore,Pakistan

MALIK ZAWWAR HUSSAIN Department of Mathematics, University of the Punjab, Lahore, Pakistan

Abstract

A parametric rational cubic approximation scheme is presented to preserve the monotone curvature profile of the given curve. The rational cubic curve has four control points and two free parameters. Values of control points are attained by C1-approximation. Simple su±cient data dependent constraints are obtained on the free parameters to preserve the monotonicity of curvature of given curve. Devised curvature-preserving approximation scheme is simple and robust.

Publication Details

Page(s) 145-157

DOI DOI not available

Published Journal: Journal of Prime Research in Mathematics, Volume: 12, Issue: 1, Year: 2016

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Keywords

65D15, 65D17, AMS Subject Classi¯cation 2010, Rational cubic parametric curve, curvature-preservation, monotone curvature, free parameters, generalized Cornu spiral

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