A closed-form solution to the inverse problem in interpolation by a Bézier-spline curve
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A geometric construction of a Bézier curve is presented by a unifiable way from the mentioned literature with some modification. A closed-form solution to the inverse problem in cubic Bézier-spline interpolation will be obtained. Calculations in the given examples are performed by a Maple procedure using this solution.
Mathematics Subject Classification41A05 41A10 41A15 65D05
The authors gratefully acknowledge the valuable comments and suggestions from the anonymous referees.
- 4.Mortenson, M.E.: Mathematics for Computer Graphics Applications, 2nd edn. Industrial Press Inc., New York (1999)Google Scholar
- 7.Sharpe, M.: Cubic B-splines using PSTricks, a guiding document for the package pst-bspline from the website http://ctan.org/pkg (Version 1.62, 21/04/2016). Accessed 18 May 2017
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