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Boundary Based Orientation of Polygonal Shapes

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Book cover Advances in Image and Video Technology (PSIVT 2006)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4319))

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Abstract

The computation of a shape’s orientation is a common task in many areas of computer vision and image processing applications. It is usually an initial step or a part of data preprocessing. There are several approaches to the problem – most of them could be understood as the ‘area based’ ones. In spite of many unavoidable problems where working with shape boundaries in discrete space, the demand for a pure ‘boundary based’ method, seems to be very reasonable. Such a method for shapes having polygonal boundaries is presented in this paper. We define the shape orientation by the line that maximises the total sum of squared lengths of projections of all the shape boundary edges onto this line. Advantages and disadvantages of the method are discussed.

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References

  1. Cortadellas, J., Amat, J., de la Torre, F.: Robust Normalization of Silhouettes for Recognition Application. Patt. Rec. Lett. 25, 591–601 (2004)

    Article  Google Scholar 

  2. Freeman, H., Shapira, R.: Determining the Minimum-Area Encasing Rectangle for an Arbitrary Closed Curve. Comm. of the ACM 18, 409–413 (1975)

    Article  MATH  MathSciNet  Google Scholar 

  3. Ha, V.H.S., Moura, J.M.F.: Afine-Permutation Invariance of 2-D Shape. IEEE Transanctions on Image Processing 14(11), 1687–1700 (2005)

    Article  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  6. Klette, R., Rosenfeld, A.: Digital Geometry. Morgan Kaufmann, San Francisco (2004)

    MATH  Google Scholar 

  7. Lin, J.-C.: Universal Principal Axes: An Easy-to-Construct Tool Useful in Defining Shape Orientations for Almost Every Kind of Shape. Patt. Rec. 26, 485–493 (1993)

    Article  Google Scholar 

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

    Article  Google Scholar 

  9. Martin, R.R., Stephenson, P.C.: Putting Objects into Boxes. Computer Aided Design 20, 506–514 (1988)

    Article  Google Scholar 

  10. Shiv Naga Prasad, V., Yegnanarayana, B.: Finding Axes of Symmetry from Potential Fields. IEEE Trans. Image Processing 13(12), 1556–1559 (2004)

    Google Scholar 

  11. Rosin, P.L.: Techniques for Assessing Polygonal Approximations of Curves. IEEE Trans. PAMI 19(6), 659–666 (1997)

    Google Scholar 

  12. Shen, D., Ip, H.H.S.: Generalized Affine Invariant Normalization. IEEE Trans. PAMI 19(5), 431–440 (1997)

    Google Scholar 

  13. 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 

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

    Article  MathSciNet  Google Scholar 

  15. Žunić, J., Kopanja, L., Fieldsend, J.E.: Notes on Shape Orientation where the Standard Method Does not Work. Pattern Recognition 39(5), 856–865 (2005)

    Google Scholar 

  16. Žunić, J., Rosin, P.L., Kopanja, L.: On the Orientability of Shapes. IEEE Transactions on Image Processing 15(11), 3478–3487 (2006)

    Article  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Žunić, J. (2006). Boundary Based Orientation of Polygonal Shapes. In: Chang, LW., Lie, WN. (eds) Advances in Image and Video Technology. PSIVT 2006. Lecture Notes in Computer Science, vol 4319. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11949534_11

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  • DOI: https://doi.org/10.1007/11949534_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-68297-4

  • Online ISBN: 978-3-540-68298-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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