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Constrained curve drawing using trigonometric splines having shape parameters
Authors:N Choubey  A Ojha  
Affiliation:aGovt. Autonomous M.H. College of Home Science and Science, Jabalpur, India;bPDPM Indian Institute of Information Technology, Design and Manufacturing, IT Building, JEC Campus, Ranjhi, Jabalpur 482 011, India
Abstract:The problem of drawing a smooth obstacle avoiding curve has attracted the attention of many people working in the area of CAD/CAM and its applications. In the present paper we propose a method of constrained curve drawing using certain C1-quadratic trigonometric splines having shape parameters, which have been recently introduced in Han X. Quadratic trigonometric polynomial curves with a shape parameter. Computer Aided Geometric Design 2002;19:503–12]. Besides this, we have also presented a simpler approach for studying the approximation properties of the trigonometric spline curves.
Keywords:color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6TYR-4P2YWT6-3&_mathId=mml6&_user=10&_cdi=5625&_rdoc=3&_acct=C000053510&_version=1&_userid=1524097&md5=c6511072927dd0dd1ed884b16b01cdc0" title="Click to view the MathML source"  C1-quadratic trigonometric spline curves" target="_blank">alt="Click to view the MathML source">C1-quadratic trigonometric spline curves  Constrained curve drawing  Approximability
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