A closed-form solution to the inverse problem in interpolation by a Bézier-spline curve

  • Le Phuong Quan
  • Thái Anh NhanEmail author
Open Access


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 Classification

41A05 41A10 41A15 65D05 



The authors gratefully acknowledge the valuable comments and suggestions from the anonymous referees.


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Copyright information

© The Author(s) 2019

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Department of Mathematics, College of Natural SciencesCan Tho UniversityCan ThoVietnam
  2. 2.Department of Mathematics and ScienceHoly Names UniversityOaklandUSA

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