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Efficient Computation of Body Moments

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Computer Analysis of Images and Patterns (CAIP 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2124))

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Abstract

We describe an efficient algorithm for a calculation of 3D body volume and surface moments. The algorithm is based on implicit formulae for moment calculation and takes advantages of a polygonal representation. It uses only coordinates of the body vertices and facets orientation.

A. Tuzikov and S. Sheynin were supported by INTAS 00-397 grant.

P. Vasiliev was supported by INTAS YSF 00-72 grant.

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References

  1. Horn, B.K.P.: Robot Vision. MIT Press, Cambridge (1986)

    Google Scholar 

  2. Jiang, X.Y., Bunke, H.: Simple and fast computation of moments. Pattern Recognition, 24 (1991) 801–806

    Article  Google Scholar 

  3. Leu, J.-G.: Computing a shapes’s moments from its boundary. Pattern Recognition, 24 (1991) 949–957

    Article  MathSciNet  Google Scholar 

  4. Li, B.: The moment calculation of polyhedra. Pattern Recognition, 26 (1993) 1229–1233

    Article  MathSciNet  Google Scholar 

  5. Liggett, J.A.: Exact formulae for areas, volumes and moments of polygons and polyhedra. Communications in Applied Numerical Methods 4 (1988) 815–820

    Article  MATH  MathSciNet  Google Scholar 

  6. Mukundan, R., Ramakrishnan, K.R.: Moment Functions in Image Analysis: Theory and Applications. World Scientific (1998)

    Google Scholar 

  7. Reiss, T.H.: Recognizing Planar Objects Using Invariant Image Features. Lecture Notes in Computer Science, Vol. 676. Springer-Verlag (1993)

    MATH  Google Scholar 

  8. Sheynin, S.A., Tuzikov, A.V.: Exact formulae for polyhedra moments. Preprint 11. Institute of Engineering Cybernetics NANB, Minsk (1999)

    Google Scholar 

  9. Singer, M.H.: A general approach to moment calculation for polygons and line segments. Pattern Recognition, 26 (1993) 1019–1028

    Article  MathSciNet  Google Scholar 

  10. Sun, C., Sherrah, J.: 3-D symmetry detection using the extended Gaussian image. IEEE Transactions on Pattern Analysis and Machine Intelligence, 19 (1997) 164–168

    Article  Google Scholar 

  11. Watt, A.: 3D Computer Graphics. Addison-Wesley (1993)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Engineering Cybernetics, Academy of Sciences of Republic Belarus, Surganova 6, 220012, Minsk, Belarus

    Alexander V. Tuzikov, Stanislav A. Sheynin & Pavel V. Vasiliev

Authors
  1. Alexander V. Tuzikov
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  2. Stanislav A. Sheynin
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  3. Pavel V. Vasiliev
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Editor information

Editors and Affiliations

  1. Faculty of Electronics and Information Technology Institute of Radioelectronics, Warsaw University of Technology, ul. Nowowiejska 15/19, 00-665, Warsaw, Poland

    Władysław Skarbek

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© 2001 Springer-Verlag Berlin Heidelberg

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Tuzikov, A.V., Sheynin, S.A., Vasiliev, P.V. (2001). Efficient Computation of Body Moments. In: Skarbek, W. (eds) Computer Analysis of Images and Patterns. CAIP 2001. Lecture Notes in Computer Science, vol 2124. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44692-3_25

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  • DOI: https://doi.org/10.1007/3-540-44692-3_25

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42513-7

  • Online ISBN: 978-3-540-44692-7

  • eBook Packages: Springer Book Archive

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