Jumat, 22 Oktober 2010

An Intuitive Explanation of Fourier Theory

Steven Lehar ( slehar@cns.bu.edu )

Amplify’d from sharp.bu.edu

Fourier theory is pretty complicated mathematically. But there are some beautifully simple holistic concepts behind Fourier theory which are relatively easy to explain intuitively. There are other sites on the web that can give you the mathematical formulation of the Fourier transform. I will present only the basic intuitive insights here, as applied to spatial imagery.

Basic Principles: How space is represented by frequency

Higher Harmonics: "Ringing" effects

An Analog Analogy: The Optical Fourier Transform

Fourier Filtering: Image Processing using Fourier Transforms

Read more at sharp.bu.edu

 

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