A comparative study of Zernike moments

Effective image retrieval by content requires that visual image properties are used instead of textual labels to properly index pictorial data. Shape is one of the primary low-level image features. Many shape representations had been proposed. The Zernike moment descriptor is the most suitable for shape similar-based retrieval in terms of computation complexity, compact representation, robustness, and retrieval performance. We study the first 36 Zernike moments and find the dependence relations between them. A new compact representation is proposed to replace the old one. It is not only saving storage capacity but also reducing the execution time of index generation.

[1]  James Ze Wang,et al.  Content-based image indexing and searching using Daubechies' wavelets , 1998, International Journal on Digital Libraries.

[2]  Hae-Kwang Kim,et al.  Region-based shape descriptor invariant to rotation, scale and translation , 2000, Signal Process. Image Commun..

[3]  David B. Cooper,et al.  Computationally fast Bayesian recognition of complex objects based on mutual algebraic invariants , 1995, Proceedings., International Conference on Image Processing.

[4]  Franz L. Alt,et al.  Digital Pattern Recognition by Moments , 1962, JACM.

[5]  Alireza Khotanzad,et al.  Invariant Image Recognition by Zernike Moments , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[6]  Fritz Albregtsen,et al.  Fast and exact computation of moments using discrete Green's theorem , 1994 .

[7]  Kyuseok Shim,et al.  WALRUS: A Similarity Retrieval Algorithm for Image Databases , 2004, IEEE Trans. Knowl. Data Eng..

[8]  Ming-Kuei Hu,et al.  Visual pattern recognition by moment invariants , 1962, IRE Trans. Inf. Theory.

[9]  Alberto Del Bimbo,et al.  Visual information retrieval , 1999 .

[10]  M. Teague Image analysis via the general theory of moments , 1980 .

[11]  Dragutin Petkovic,et al.  Query by Image and Video Content: The QBIC System , 1995, Computer.

[12]  Alberto Del Bimbo,et al.  Visual Image Retrieval by Elastic Matching of User Sketches , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  R. Mukundan,et al.  Discrete vs. Continuous Orthogonal Moments for Image Analysis , 2001 .

[14]  Guojun Lu,et al.  A Comparative Study of Three Region Shape Descriptors , 2001 .