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The classification properties of the pecstrum and its use for pattern identification

V. Anastassopoulos1 and A. N. Venetsanopoulos1

(1) Department of Electrical Engineering, University of Toronto, M5S 1A4 Toronto, Ontario, Canada

Received: 29 June 1990  

Abstract  In this paper the shape information contents of a morphological vector descriptor, called ldquopecstrumrdquo (pattern spectrum), are investigated. The pecstrum is then used for aircraft recognition and classification. The pecstrum is a simple vector descriptor which provides information on the way the area of the object is distributed from the fine details to its bulky contents. Although some of its properties have already been reported [3], [4], [14], [23], the use of the pecstrum as a classification tool has not been given appropriate emphasis. At the beginning of the paper some introductory material on mathematical morphology and the pecstrum is presented for the reader who is not familiar with the relevant terminology. Next the shape information which the pecstrum conveys is analyzed and its classification properties are considered. New concepts such as the ldquopecstralrdquo space and the cumulative pecstral transformation are introduced and explained. The performance of the pecstrum in certain recognition problems is also examined. The concept of ldquoB-shapinessrdquo is redefined and the relation between the pecstrum and the ratio area/perimeter2 is established. The ldquopseudopecstrumrdquo is then introduced and its information contents and classification properties are compared with those of the conventional pecstrum. The use of pecstrum in estimating object orientation is also addressed. Finally, the recognition and classification capabilities of the pecstrum are tested using a large number of binary objects (airplanes). The performance limit of the pecstrum for efficient object classification, as the size of the objects decreases, is examined and the factors which affect this limit are discussed. The classification results are compared with those obtained using invariant moments.

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Referenced by
4 newer articles

  1. Lefèvre, Sébastien (2009) Beyond morphological size distribution. Journal of Electronic Imaging 18(1)
    [CrossRef]
  2. Korn, P. (1998) Fast and effective retrieval of medical tumor shapes. IEEE Transactions on Knowledge and Data Engineering 10(6)
    [CrossRef]
  3. Hasan, Y.M.Y. (2000) Morphological reversible contour representation. IEEE Transactions on Pattern Analysis and Machine Intelligence 22(3)
    [CrossRef]
  4. Sabourin, R. (1997) Off-line signature verification by local granulometric size distributions. IEEE Transactions on Pattern Analysis and Machine Intelligence 19(9)
    [CrossRef]
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