Optical implementation of the generalized Hough transform by use of multiplexed holgrams

We explain that a holographic filter of the generalized Hough transform can be easily obtained using multiplexing techniques in hologram recording. To show the feasibility of our approach experimentally, we record the Hough transform filter of both line and circle parameterizations by combined use of rotational and angle multiplexing. Preliminary experimental results on the Hough transform for a few input patterns are presented.

[1]  Y Fainman,et al.  Optical implementation of the Hough transform by a matrix of holograms. , 1986, Applied optics.

[2]  Dana H. Ballard,et al.  Generalizing the Hough transform to detect arbitrary shapes , 1981, Pattern Recognit..

[3]  Demetri Psaltis,et al.  Exposure schedule for multiplexing holograms in photopolymer films , 1996 .

[4]  J S Jang,et al.  Parallel optical-feature extraction by use of rotationally multiplexed holograms. , 1996, Optics letters.

[5]  Demetri Psaltis,et al.  Holographic optical disc , 1999, Optics & Photonics.

[6]  W. Steier,et al.  Optical Hough transform. , 1986, Applied optics.

[7]  D P Casasent,et al.  Parallel holographic generation of multiple Hough transform slices. , 1988, Applied optics.

[8]  J. Goodman.  Introduction to Fourier optics , 1969 .

[9]  D Psaltis,et al.  Method for controlling the shift invariance of optical correlators. , 1999, Applied optics.

[10]  D Psaltis,et al.  System metric for holographic memory systems. , 1996, Optics letters.

[11]  A. B. Vanderlugt.  SIGNAL DETECTION BY COMPLEX SPATIAL FILTERING , 1963 .

[12]  Dong-Hak Shin,et al.  Shift- and deformation-robust optical character recognition based on parallel extraction of simple features , 1997, Defense, Security, and Sensing.

[13]  Rafael M. Inigo,et al.  Machine Vision Applied to Vehicle Guidance , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[14]  K Mori,et al.  Optical Hough-transform processor with a two-dimensional array of computer-generated holograms. , 1994, Applied optics.

[15]  Dong-Hak Shin,et al.  Implementation of a holographic storage system by combined use of rotational, angle, and spatial multiplexing methods , 1998, Optics & Photonics.

[16]  A. B. Vander Lugt,et al.  Signal detection by complex spatial filtering , 1964, IEEE Trans. Inf. Theory.

[17]  Mustafa A. G. Abushagur,et al.  Fractional correlations based on the modified fractional order Fourier transform , 1998 .

[18]  G Eichmann,et al.  Coherent optical production of the Hough transform. , 1983, Applied optics.

[19]  Dong-Hak Shin,et al.  Optical implementation of the generalized Hough transform by use of rotationally multiplexed holograms , 1998, Optics & Photonics.

[20]  J S Jang,et al.  Optical Implementation of the Hough Transform by use of rotationally multiplexed holograms. , 1998, Applied optics.

[21]  Kou-Yuan Huang,et al.  Image processing of seismograms: (a) Hough transformation for the detection of seismic patterns; (b) thinning processing in the seismogram , 1985, Pattern Recognit..