MATH
21 B
Mathematics Math21b Fall 2010
Linear Algebra and Differential Equations
Exhibit: Fourier Transform on picture
Course Head: Oliver Knill
Office: SciCtr 434



The original picture 300x300 pixels.
The picture obtained by taking a few Fourier coefficients and then doing the inverse transform. The JPG format itself is based on Fourier, but does it on small blocks in the picture. Here the entire picture is Fourier transformed.




Here is the C source code from a program written in February 2000 when I was experimenting with higher dimensional moment problems and compared Fourier with Moments for comparing complexity. See the paper. Here are the source files. Just download the gziped tar ball, and unwrap it with
tar -xzf fourier_picture.tgz
In the directory fourier_picture which has appeared, you can then compile and run the code
cd fourier_picture
make
make run
make movie
  • fourier.c
  • Makefile
  • makemovie.sh
  • C Source code [TGZ]
  • Please send questions and comments to math21b@fas.harvard.edu