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Geometric Hermite Curves Based on Different Objective Functions

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Interactive Technologies and Sociotechnical Systems (VSMM 2006)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4270))

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Abstract

Based on the objective function defined by the approximation of the curvature variation formula of the curve, a new method for constructing composite optimized geometric Hermite (COH) curves is presented in this paper. The new method can deal with some cases in which neither of the existing methods those are based on minimum curvature variation or minimum strain energy can get pleasing shape. The comparison of the new method with the existing methods are given, which shows that none of the new method and the existing ones can deal with all the cases well. The experiments show that combination of the new method with the existing methods can achieve a good result in all cases.

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Author information

Authors and Affiliations

  1. Department of Computer Science and Technology, Shandong Economic University, Ji’nan, 250014, P.R.China

    Jing Chi & Caiming Zhang

  2. School of Computer Science and Technology, Shandong University, Ji’nan, 250061, P.R.China

    Caiming Zhang

  3. Shandong Computer Science Center, ji’nan, 250014, P.R.China

    Xiaoming Wu

Authors
  1. Jing Chi
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  2. Caiming Zhang
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  3. Xiaoming Wu
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Editor information

Editors and Affiliations

  1. Department of Machine Intelligence, Peking University, 100871, Beijing, China

    Hongbin Zha

  2. State Key Lab of CAD&CG, Zhejiang University, 310027, Hangzhou, China

    Zhigeng Pan

  3. Faculty of Creative Multimedia, Multimedia University, Kuala Lumpur, Malaysia

    Hal Thwaites

  4. World Heritage Centre, UNESCO, 7, Place de Fontenoy, F-75352, Paris, France

    Alonzo C. Addison

  5. IVHN, talian NRC, Roma, Italy

    Maurizio Forte

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© 2006 Springer-Verlag Berlin Heidelberg

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Chi, J., Zhang, C., Wu, X. (2006). Geometric Hermite Curves Based on Different Objective Functions. In: Zha, H., Pan, Z., Thwaites, H., Addison, A.C., Forte, M. (eds) Interactive Technologies and Sociotechnical Systems. VSMM 2006. Lecture Notes in Computer Science, vol 4270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11890881_28

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  • DOI: https://doi.org/10.1007/11890881_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46304-7

  • Online ISBN: 978-3-540-46305-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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