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Fourier Methods

Lets consider a 1D Fourier transform example:

Consider a complicated sound such as the noise of a car horn. We can describe this sound in two related ways:

Similarly brightness along a line can be recorded as a set of values measured at equally spaced distances apart, or equivalently, at a set of spatial frequency values.

Each of these frequency values is referred to as a frequency component.

An image is a two-dimensional array of pixel measurements on a uniform grid.

This information be described in terms of a two-dimensional grid of spatial frequencies.

A given frequency component now specifies what contribution is made by data which is changing with specified x and y direction spatial frequencies.

tex2html_wrap_inline2984 David Marshall 1994-1997