Constrained curve drawing using trigonometric splines having shape parameters

  • Authors:
  • N. Choubey;A. Ojha

  • Affiliations:
  • Govt. Autonomous M.H. College of Home Science and Science, Jabalpur, India;PDPM Indian Institute of Information Technology, Design and Manufacturing, IT Building, JEC Campus, Ranjhi, Jabalpur 482 011, India

  • Venue:
  • Computer-Aided Design
  • Year:
  • 2007

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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 C^1-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.