Calculation of Geometric Moments Using Fourier Plane Intensities,
CARNEGIE-MELLON UNIV PITTSBURGH PA DEPT OF ELECTRICAL AND COMPUTER ENGINEERING
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A new system for calculating the geometric moments of an input image is presented. The system is based on a mathematical derivation that relates the geometric moments of the input image to the intensity of the Fourier transform of the image. Some optical systems are very efficient at obtaining Fourier transforms, and optical system is used to provide the transform of the input image in this design. An array of detectors is then used to sample the Fourier plane, and digital postprocesssor performs a differentiation process on these Fourier magnitude samples to obtain a vector of values which are combined in a predetermined fashion to provide the geometric moments of the original input function.
- Theoretical Mathematics