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Cubic NURBS Interpolation Curves and Its Convexity

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Book cover Information Computing and Applications (ICICA 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 105))

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Abstract

Shape preserving interpolation is studied well in polynomial interpolation. The aim of this paper is to give a local interpolation method. The local interpolation is presented by using the cubic non-uniform rational B-spline curves. The generated interpolation curve can be continuous and has a local shape parameter. Based on the convexity of the cubic non-uniform rational B-spline curves, the convexity of the given interpolation curves is discussed . Some computed examples of the interpolation curves are given.

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Author information

Authors and Affiliations

  1. School of Science, Qingdao Technological University, 266033, China

    Lijuan Chen & Mingzhu Li

  2. College of Management, Qingdao Technological University, 266033, China

    Xiaoxiang Zhang

Authors
  1. Lijuan Chen
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  2. Xiaoxiang Zhang
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  3. Mingzhu Li
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Editor information

Editors and Affiliations

  1. College of Computer Science, South-Central University for Nationalities, 708 Minyuan Road, 430074, Wuhan, China

    Rongbo Zhu

  2. Victoria University, 8001, Melbourne, VIC, Australia

    Yanchun Zhang

  3. College of sciences, He’Bei polytechnic University, 063000, Tangshan, Hebei, China

    Baoxiang Liu  & Chunfeng Liu  & 

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© 2010 Springer-Verlag Berlin Heidelberg

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Chen, L., Zhang, X., Li, M. (2010). Cubic NURBS Interpolation Curves and Its Convexity. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16336-4_65

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  • DOI: https://doi.org/10.1007/978-3-642-16336-4_65

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16335-7

  • Online ISBN: 978-3-642-16336-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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