Title :
Radial Tchebichef Invariants for Pattern Recognition
Author :
Mukundan, Ramakrishnan
Author_Institution :
Dept. of Comput. Sci., Canterbury Univ., Canterbury
Abstract :
This paper presents the mathematical framework of radial Tchebichef moment invariants, and investigates their feature representation capabilities for pattern recognition applications. The radial Tchebichef moments are constructed using the discrete orthogonal Tchebichef polynomials as the kernel, and they have a radial-polar form similar to that of Zernike moments. The discrete form of the moment transforms make them particularly suitable for image processing tasks. Experimental results showing the primary attributes such as invariance and orthogonality of the proposed moment functions are also given.
Keywords :
Chebyshev approximation; feature extraction; image recognition; polynomial approximation; transforms; Zernike moments; discrete orthogonal Tchebichef polynomials; feature representation capabilities; image processing tasks; moment transforms; pattern recognition; radial Tchebichef invariants; Discrete transforms; Equations; Feature extraction; Image processing; Image reconstruction; Kernel; Noise robustness; Numerical stability; Pattern recognition; Polynomials; Discrete transforms; feature extraction; image reconstruction; orthogonal functions; pattern recognition;
Conference_Titel :
TENCON 2005 2005 IEEE Region 10
Conference_Location :
Melbourne, Qld.
Print_ISBN :
0-7803-9311-2
Electronic_ISBN :
0-7803-9312-0
DOI :
10.1109/TENCON.2005.301111
