An Analytical and Experimental Study of Binary Image Normalization for Scale Invariance with Zernike Moments

  • Kim, Whoi-Yul (Image Engineering Lab., Department of Electronic Engineering Hanyang University)
  • Published : 1997.12.01

Abstract

In order to achieve scale- and rotation-invariance in recognizing unoccluded objects in binary images using Zernike moment features, an image of an object has often been normalized first by its zeroth-order moment (ZOM) or area. With elongated objects such as characters, a stroke width varies with the threshold value used, it becomes one or two pixels wider or thinner. The variations of the total area of the character becomes significant when the character is relatively thin with respect to its overall size, and the resulting normalized moment features are no longer reliable. This dilation/erosion effect is more severe when the object is not focused precisely. In this paper, we analyze the ZOM method and propose as a normalization method, the maximum enclosing circle (MEC) centered at the centroid of the character. We compare both the ZOM and MEC methods in their performance through various experiments.

Keywords

References

  1. Computer Vision, Graphics and Image Processing v.39 Optical character recognition by the method of moments G.L.Cash;M.Hatamian
  2. IEEE Transactions on Acoustics, Speech and Signal Processing v.ASS34 A Real-time two-dimensional moment generating algorithm and its single chip implementation M.Hatamian
  3. CVGIP: Graphical Models and Image Processing v.54 A Survey of moment-based techniques for unoccluded object representation and recognition R.J.Prokop;A.P.Reeves
  4. IRE Transactions on Information Theory Visual pattern recognition by moment invariants M.K.Hu
  5. Appl. Opt. v.21 Rotation invariant digital pattern recognition using circular harmonic expansion Y.N.Hsu;H.H.Arsenault;G.April
  6. IEEE Trans. on Pattern Analysis and Machine Intelligence v.12 Invariant image recognition by zemike moments A.Khotanzad;Y.H.Hong
  7. Pattern Recognition v.24 no.12 Pattern recognition with moment invariants: A comparative study and new results S.O.Belkasim;M.Shiridhar;M.Ahmaki
  8. Pattern Recognition v.23 no.10 Rotation invariant image recognition using features selected via a systematic method A.Khotanzad;Y.H.Hong
  9. IEEE Trans. on Pattern Analysis and Machine Intellgence v.13 no.8 Gray level thresholding in badly illuminated images J.R.Parker
  10. Pattern Recognition v.24 no.5 Recognition of handwritten digits using template and model matching P.Gader;B.Forester;M.Ganzberger;A.Gillies;B.Mitchell;m.Whalen;T.Yocum
  11. IEEE Trans. on Pattern Analysis and Machine Intelligence v.10 Three-dimensional shape analysis using moments and fourier descriptors A.P.Reeves;R.Prokop;S.E.Andrews;F.P.Kuhl
  12. IEEE Trans. on Pattern Analysis and Machine Intelligence v.11 Identification of three dimensional objects using range information A.P.Reeves;R.W.Taylor
  13. IEEE Trans. on Computers v.C-26 Aircraft identification by moment invariant S.A.Dudani;K.J.Breeding;R.B.McGhee
  14. J. Pot. Soc. Am. v.70 Image analysis via the general theory of moments M.R.Teague
  15. Proceedings of the IEEE v.67 Moment invariants S.Maitra
  16. IEEE Trans. on Pattern Analysis and Machine Intelligence v.10 On Image analysis by the methods of moments C.H.Teh;R.T.Chin
  17. Digital picture Processing A.Rosenfeld;A.Kak
  18. Computational Geometry F.P.Preparata;M.I.Shamos
  19. IEEE Conference on Computer Vision & Pattern Recognition A Practical Pattern Recognition System for Translation, Scale and Rotation Invariance W.Y.Kim;P.Y.Yuan
  20. IEEE International Conference on Computer Vision and Pattern Recognition Content-based trademark retrieval system using visually salient feature Y.S.Kim;W.Y.Kim