Simulation Study Of The Performance Of An Algorithm That Computes Geometric Moments From Optical Hartley Transform Intensities

B. V.K.Vijaya Kumar; Craig Fitzpatrick

doi:10.1117/12.7976671

1 April 1988 Simulation Study Of The Performance Of An Algorithm That Computes Geometric Moments From Optical Hartley Transform Intensities

B. V.K.Vijaya Kumar, Craig Fitzpatrick

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Optical Engineering, Vol. 27, Issue 4, 274280 (April 1988). https://doi.org/10.1117/12.7976671

Abstract

After a brief survey of several optical methods for computing the geometric moments of an image, we introduce an algorithm that calculates these geometric moments from the intensity of the Hartley transform of the image. The performance of this algorithm is analyzed with the help of simulations as several important parameters are varied. These include the sampling interval in the Hartley transform plane, the input signal-to-noise ratio, the signal-to-noise ratio in the detector plane, positional misalignment of the detectors, the variation in the widths of the detectors, the number of bits in the detector analog-to-digital converters, and the length of the differentiating filters used. We also discuss how to obtain all of the geometric moments even though the sign information in the Hartley transform is ignored and how to extend the algorithm to two dimensions.

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B. V.K.Vijaya Kumar and Craig Fitzpatrick "Simulation Study Of The Performance Of An Algorithm That Computes Geometric Moments From Optical Hartley Transform Intensities," Optical Engineering 27(4), 274280 (1 April 1988). https://doi.org/10.1117/12.7976671

Published: 1 April 1988

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KEYWORDS

Computer simulations

Geometrical optics

Sensors

Detection and tracking algorithms

Signal to noise ratio

Electronic filtering

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