Novel moment invariants for improved classification performance in computer vision applications

A novel set of moment invariants based on the Krawtchouk moments are introduced in this paper. These moment invariants are computed over a finite number of image intensity slices, extracted by applying an innovative image representation scheme, the image slice representation (ISR) method. Based on this technique an image is decomposed to a several non-overlapped intensity slices, which can be considered as binary slices of certain intensity. This image representation gives the advantage to accelerate the computation of image's moments since the image can be described in a number of homogenous rectangular blocks, which permits the simplification of the computation formulas. The moments computed over the extracted slices seem to be more efficient than the corresponding moments of the same order that describe the whole image, in recognizing the pattern under processing. The proposed moment invariants are exhaustively tested in several well known computer vision datasets, regarding their rotation, scaling and translation (RST) invariant recognition performance, by resulting to remarkable outcomes.

[1]  Adam C. Winstanley,et al.  Invariant optimal feature selection: A distance discriminant and feature ranking based solution , 2008, Pattern Recognit..

[2]  Yiannis S. Boutalis,et al.  Numerical stability of fast computation algorithms of Zernike moments , 2008, Appl. Math. Comput..

[3]  Robert Whitley,et al.  Numerical Error Analysis , 1998 .

[4]  Yiannis S. Boutalis,et al.  Numerical error analysis in Zernike moments computation , 2006, Image Vis. Comput..

[5]  Sim Heng Ong,et al.  Image Analysis by Tchebichef Moments , 2001, IEEE Trans. Image Process..

[6]  Basil G. Mertzios,et al.  Statistical pattern recognition using efficient two-dimensional moments with applications to character recognition , 1993, Pattern Recognit..

[7]  Dimitris E. Koulouriotis,et al.  Efficient and accurate computation of geometric moments on gray-scale images , 2008, Pattern Recognit..

[8]  Basil G. Mertzios,et al.  Fast numerically stable computation of orthogonal Fourier--Mellin moments , 2007 .

[9]  Jin Soo Noh,et al.  Palmprint Identification Algorithm Using Hu Invariant Moments , 2005, FSKD.

[10]  Wei Guan,et al.  Aircraft recognition in infrared image using wavelet moment invariants , 2009, Image Vis. Comput..

[11]  Dimitris A. Karras,et al.  A new class of Zernike moments for computer vision applications , 2007, Inf. Sci..

[12]  R. Mukundan,et al.  Moment Functions in Image Analysis: Theory and Applications , 1998 .

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

[14]  Andy Harter,et al.  Parameterisation of a stochastic model for human face identification , 1994, Proceedings of 1994 IEEE Workshop on Applications of Computer Vision.

[15]  Dimitris E. Koulouriotis,et al.  Exact and Speedy Computation of Legendre Moments on Binary Images , 2007, Eighth International Workshop on Image Analysis for Multimedia Interactive Services (WIAMIS '07).

[16]  Jin Liu,et al.  Fast algorithm for generation of moment invariants , 2004, Pattern Recognit..

[17]  Wenbing Tao,et al.  An automatic method for generating affine moment invariants , 2007, Pattern Recognit. Lett..

[18]  Basil G. Mertzios,et al.  An Efficient Feature Extraction Methodology for Computer Vision Applications using Wavelet Compressed Zernike Moments , 2005 .

[19]  Yu Sun,et al.  Static Hand Gesture Recognition and its Application based on Support Vector Machines , 2008, 2008 Ninth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing.

[20]  张林,et al.  Geometric moment invariants image compression method with maximum compression ratio optimization , 2008 .

[21]  R. Mukundan,et al.  Some computational aspects of discrete orthonormal moments , 2004, IEEE Transactions on Image Processing.

[22]  Daniel P. Huttenlocher,et al.  Comparing Images Using the Hausdorff Distance , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[23]  Raveendran Paramesran,et al.  Image analysis by Krawtchouk moments , 2003, IEEE Trans. Image Process..

[24]  Jin Soo Noh,et al.  Palmprint identification algorithm using Hu invariant moments and Otsu binarization , 2005, Fourth Annual ACIS International Conference on Computer and Information Science (ICIS'05).

[25]  Biing-Hwang Juang,et al.  Toward robust moment invariants for image registration , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.

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