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Curvature Monotony Condition for Rational Quadratic B-spline Curves

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Computational Science and Its Applications - ICCSA 2006 (ICCSA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3980))

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Abstract

The monotone curvature condition for rational quadratic B-spline curves is studied in this paper. At first, we present the necessary and sufficient conditions of monotone curvature for the uniform rational quadratic B-spline segment and we compare it to the curvature condition of rational quadratic Bezier curve. Then, we give the sufficient condition of monotone curvature for the nonuniform rational quadratic B-spline segment. At last, we obtain the condition of monotone curvature for general rational quadratic B-spline curves with any number of control points.

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Author information

Authors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200030, China

    Zhong Li, Lizhuang Ma, Wuzheng Tan, Zhihong Mao & Mingxi Zhao

  2. Department of Mathematics and Science, Zhejiang Sci-Tech University, Hangzhou, 310018, China

    Zhong Li

  3. Department of Computer Science, University of Manitoba, Winnipeg, R3T 2N2, Canada

    Dereck Meek

Authors
  1. Zhong Li
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  2. Lizhuang Ma
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  3. Dereck Meek
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  4. Wuzheng Tan
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  5. Zhihong Mao
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  6. Mingxi Zhao
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Calgary, 2500 University Drive N.W., T2N 1N4, Calgary, AB, Canada

    Marina Gavrilova

  2. Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli, 1, I-06123, Perugia, Italy

    Osvaldo Gervasi

  3. William Norris Professor, Head of the Computer Science and Engineering Department, University of Minnesota, USA

    Vipin Kumar

  4. OptimaNumerics Ltd., Cathedral House, 23-31 Waring Street, BT1 2DX, Belfast, UK

    C. J. Kenneth Tan

  5. Clayton School of IT, Monash University, 3800, Clayton, Australia

    David Taniar

  6. Department of Chemistry, University of Perugia, Via Elce di Sotto, 8, I-06123, Perugia, Italy

    Antonio Laganá

  7. School of Computing, Soongsil University, Seoul, Korea

    Youngsong Mun

  8. School of Information and Communication Engineering, Sungkyunkwan University, Korea

    Hyunseung Choo

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© 2006 Springer-Verlag Berlin Heidelberg

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Cite this paper

Li, Z., Ma, L., Meek, D., Tan, W., Mao, Z., Zhao, M. (2006). Curvature Monotony Condition for Rational Quadratic B-spline Curves. In: Gavrilova, M., et al. Computational Science and Its Applications - ICCSA 2006. ICCSA 2006. Lecture Notes in Computer Science, vol 3980. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11751540_122

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  • DOI: https://doi.org/10.1007/11751540_122

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34070-6

  • Online ISBN: 978-3-540-34071-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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