We present the cylindrical harmonic filter for three-dimensional (3D) discrete correlation between range data. The filter guarantees invariance of the correlation peak intensity under target rotation around z-axis. It can be considered a harmonic decomposition, in cylindrical coordinates, of the 3D Fourier spectrum of the target. Some simulation results confirm the in-plane rotation invariance and the discrimination of the filter.

© 2004 Optical Society of America

1. J Guerrero, J. Meneses and O. Gualdrón. ???Object recognition using three-dimensional correlation of range images,??? Opt. Eng. 39, 10, 2828-2831. (2000). [CrossRef]
2. M. Suk and S. Bhandakar, ???Three-dimensional object recognition from range images,??? (Tokyo, Tosiyasu Kunni, eds., 1992) Springer Verlag, 308p.
3. Y.N. Hsu, H.H. Arsenault and G. April, ???Rotation Invariant digital pattern recognition using circular harmonic expansion,??? Appl. Opt. 21, 4012-4015 (1982). [CrossRef] [PubMed]
4. O. Gualdrón, and H. Arsenault. ???Improved Invariant Pattern Recognition Methods,??? in Real Time Optical Information Processing, (San Diego, B. Javidi and J. Horner. Eds. 1994), Academic Press, pp 89-113.
5. P. García-Martínez, H. Arsenault and C. Ferreira. ???Nonlinear Binary Correlations for Rotation Invariant Pattern Recognition using Circular Harmonic Decomposition,??? Proc. SPIE 4419. 676-679. (2001) [CrossRef]

Appl. Opt.

• Y.N. Hsu, H.H. Arsenault and G. April, ???Rotation Invariant digital pattern recognition using circular harmonic expansion,??? Appl. Opt. 21, 4012-4015 (1982). [CrossRef] [PubMed]

Opt. Eng.

• J Guerrero, J. Meneses and O. Gualdrón. ???Object recognition using three-dimensional correlation of range images,??? Opt. Eng. 39, 10, 2828-2831. (2000). [CrossRef]

Proc. SPIE

• P. García-Martínez, H. Arsenault and C. Ferreira. ???Nonlinear Binary Correlations for Rotation Invariant Pattern Recognition using Circular Harmonic Decomposition,??? Proc. SPIE 4419. 676-679. (2001) [CrossRef]

Other

• M. Suk and S. Bhandakar, ???Three-dimensional object recognition from range images,??? (Tokyo, Tosiyasu Kunni, eds., 1992) Springer Verlag, 308p.
• O. Gualdrón, and H. Arsenault. ???Improved Invariant Pattern Recognition Methods,??? in Real Time Optical Information Processing, (San Diego, B. Javidi and J. Horner. Eds. 1994), Academic Press, pp 89-113.

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