Optical Haar wavelet transforms of binary images

Xiangyang Yang; Harold H. Szu; Yunlong Sheng; H. John Caulfield

doi:10.1117/12.59914

1 September 1992 Optical Haar wavelet transforms of binary images

Xiangyang Yang, Harold H. Szu, Yunlong Sheng, H. John Caulfield

Author Affiliations +

Optical Engineering, Vol. 31, Issue 9, (September 1992). https://doi.org/10.1117/12.59914

Abstract

Two architectures in space and frequency domains are given to optically implement wavelet transforms (WT) in real time and in 2-D parallel, which in principle can circumvent the 4-D display requirement for 2-D WT. Specifically, we have experimentally performed the 2-D Haar WT of binary images directly in the space domain by means of a shadow-casting system using 2-D lenslet arrays and micropolarizers. Shadowing is natural for scale changes, and polarization encoding is necessary to realize the bipolar nature of Haar wavelets. Haar wavelets have two elementary types in 2-D, a corner mother wavelet and an edge mother wavelet. Both are useful for the real-time feature extraction for multiple-resolution image processing and pattern recognition. Moreover, a holographic processor that implements the 2-D Haar WT through filtering operations in the frequency domain is numerically simulated. The feasibility of both architectures is demonstrated and compared by computer simulations and experiments.

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Xiangyang Yang, Harold H. Szu, Yunlong Sheng, and H. John Caulfield "Optical Haar wavelet transforms of binary images," Optical Engineering 31(9), (1 September 1992). https://doi.org/10.1117/12.59914

Published: 1 September 1992

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