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Iberoamerican Congress on Pattern Recognition

CIARP 2005: Progress in Pattern Recognition, Image Analysis and Applications pp 825–836Cite as

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On Shape Orientation When the Standard Method Does Not Work

On Shape Orientation When the Standard Method Does Not Work

  • Joviša Žunić18 &
  • Lazar Kopanja19 
  • Conference paper
  • 1051 Accesses

Part of the Lecture Notes in Computer Science book series (LNIP,volume 3773)

Abstract

In this paper we consider some questions related to the orientation of shapes when the standard method does not work. A typical situation is when a shapes under consideration has more than two axes of symmetry or if the shape is n-fold rotationally symmetric, when n > 2. Those situations are well studied in literature. Here, we give a very simple proof of the main result from [11] and slightly adapt their definition of principal axes for rotationally symmetric shapes. We show some desirable properties that hold if the orientation of such shapes is computed in such a modified way.

Keywords

  • Shape
  • orientation
  • image processing
  • early vision

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References

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

    Google Scholar 

  2. Jain, R., Kasturi, R., Schunck, B.G.: Machine Vision. McGraw-Hill, New York (1995)

    Google Scholar 

  3. Klette, R., Žunić, J.: Digital approximation of moments of convex regions. Graphical Models and Image Processing 61, 274–298 (1999)

    CrossRef  Google Scholar 

  4. Lin, J.-C., Tsai, W.-H., Chen, J.-A.: Detecting Number of Folds by a Simple Mathematical Property. Patt. Rec. Letters 15, 1081–1088 (1994)

    CrossRef  Google Scholar 

  5. Lin, J.-C.: The Family of Universal Axes. Patt. Rec. 29, 477–485 (1996)

    CrossRef  Google Scholar 

  6. Mach, E.: The analysis of sensations (Beiträge zur Analyse der Empfindungen), Routledge, London (1996)

    Google Scholar 

  7. Marola, G.: On the Detection of Axes of Symmetry of Symmetric and Almost Symmetric Planar Images. IEEE Trans. PAMI 11(6), 104–108 (1989)

    MATH  Google Scholar 

  8. Palmer, S.E.: Vision Science: Photons to Phenomenology. MIT Press, Cambridge (1999)

    Google Scholar 

  9. Shen, D., Ip, H.H.S.: Optimal Axes for Defining the Orientations of Shapes. Electronic Letters 32(20), 1873–1874 (1996)

    CrossRef  Google Scholar 

  10. Shen, D., Ip, H.H.S., Cheung, K.K.T., Teoh, E.K.: Symmetry Detection by Generalized Complex (GC) Moments: A Close-Form Solution. IEEE Trans. PAMI 21(5), 466–476 (1999)

    Google Scholar 

  11. Tsai, W.H., Chou, S.L.: Detection of Generalized Principal Axes in Rotationally Symmetric Shapes. Patt. Rec. 24, 95–104 (1991)

    CrossRef  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Computer Science, Exeter University, Exeter, EX4 4QF, U.K.

    Joviša Žunić

  2. Department of Mathematics and Informatics, Novi Sad University, 21000, Novi Sad, Trg D. Obradovića 4, Serbia and Montenegro

    Lazar Kopanja

Authors
  1. Joviša Žunić
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  2. Lazar Kopanja
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Editor information

Editors and Affiliations

  1. Dept. System Engineering and Automation, Universitat Politècnica de Catalunya (UPC) Barcelona, Spain

    Alberto Sanfeliu

  2. Pattern Recognition Group, ICIMAF, Havana, Cuba

    Manuel Lazo Cortés

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© 2005 Springer-Verlag Berlin Heidelberg

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Cite this paper

Žunić, J., Kopanja, L. (2005). On Shape Orientation When the Standard Method Does Not Work. In: Sanfeliu, A., Cortés, M.L. (eds) Progress in Pattern Recognition, Image Analysis and Applications. CIARP 2005. Lecture Notes in Computer Science, vol 3773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11578079_86

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  • DOI: https://doi.org/10.1007/11578079_86

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29850-2

  • Online ISBN: 978-3-540-32242-9

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