Fourier Transform Properties Of Polar Formatted Data

Carl C . Aleksoff

doi:10.1117/12.954184

1 March 1974 Fourier Transform Properties Of Polar Formatted Data

Carl C . Aleksoff

Proceedings Volume 0052, Coherent Optical Processing; (1974) https://doi.org/10.1117/12.954184
Event: Acquisition and Analysis of Pictorial Data, 1974, San Diego, United States

Abstract

One of the basic reasons for using optical processing is the sim-plicity of using a spherical lens to take a 2-dimensional Fourier transform (FT) of input data. Intrinsically, the 2-dimensional FT is best understood in rectangular coordinates (Ref. 1). Most FT techniques take advantage of rectangular formatted data. However, a polar format is often the most natural form for data obtained with a technique where rotation is inherent in the data taking process. Such cases exist in radio astronomy of rotating planets (Ref. 2) and other stellar objects where the earth's rotation is used to advantage (Ref. 3), and in processing image projections (Ref. 4). In addition, the concept of recording data on a rotating disk for near real time optical processing is also very attractive (Ref. 5). All these areas of interest might take advantage of optical data processing. However, a major stumbling block is that the FT of many of the simplest polar forms, e.g. a pie shaped wedge (Ref. 6) do not lend themselves to closed form expressions that can be easily under-stood. Hence, whatever advantages a polar formatted optical processing system might have are not readily evident.

Citation Download Citation

Carl C . Aleksoff "Fourier Transform Properties Of Polar Formatted Data", Proc. SPIE 0052, Coherent Optical Processing, (1 March 1974); https://doi.org/10.1117/12.954184

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available