Yesterday was Fourier day and I had a lot of fun. I also managed to visit the works of Gauss, Mach and many others. I also went through an entire MIT course video lecture on linear Algebra and matrices. I did some analysis with Fourier and some open source "C" code. I also found this nice link to wikibooks and FFT with gimp. HERE . Link seems to have changed and a new one is HERE at Wikibooks. Apparently they were being neat and doing "Camel Case" on links . :)
The link shows how to apply FFT filters and allows you to manipulate frequency domain aspects of an image. I was able to remove interference noise from an image in a matter of seconds. I learned many things yesterday about frequency response of the eye, common illusion that affect perception, how to enhance images for print processing, and a better understanding of what things like "bi-cubic" and other options in filtering imply with OpenGL and image processing.
Today will be a Paul day. I discovered some new ways to apply transforms that are conceptually like Fourier, but use a different method. I am also wondering what is on the outside of a CFT ( continuous Fourier transform ). It seems to me that the transform of a continuous has an infinite progression that would go through many different convolutions, depending on the complexity of the original content. I also see that gimp with FFT filters forward and reverse are going to be a lot of fun. I discovered a lot of new ways of steganographic encoding too.
I will have to make every March 15 a Fourier day. I think that today will study Euclidian math.
I will probably start with Euclid and go through as much dimensional topology as I can tolerate.
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