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.