The Binomial Window

William Q. Nicholson; Kenneth S. Davis

doi:10.1117/12.959179

23 December 1980 The Binomial Window

William Q. Nicholson, Kenneth S. Davis

Proceedings Volume 0238, Image Processing for Missile Guidance; (1980) https://doi.org/10.1117/12.959179
Event: 24th Annual Technical Symposium, 1980, San Diego, United States

Abstract

A signal processing window based on the binomial distribution function is presented. Being a discrete form of the normal distribution, it offers the minimum uncertainty of 1/4π when locating periodic components in sampled data. Low, high and band pass forms are shown for processing two-dimensional data in rectangular and hexagonal tessellation. Real time convolution of dynamic imagery avoiding high speed multiplication is provided by a cascade of the first order binomial cell. Applications include feature extraction and image enhancement, which because of the low sidelobe characteristics of the window avoids aliasing. The convolution process avoids block type artifacts and the binomial function reduces location uncertainty. An example of processing with a band pass form approximating the spatial response of the human retina is shown. Other band pass applications include edge extraction using the location of zero crossings of the windowed output, also the screening and location of objects based upon their size, aspect or form.

Citation Download Citation

William Q. Nicholson and Kenneth S. Davis "The Binomial Window", Proc. SPIE 0238, Image Processing for Missile Guidance, (23 December 1980); https://doi.org/10.1117/12.959179

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