CS370 Lecture 5: Unit 5 Fourier (complete)

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Goal: to introduce the idea of image/signal compression. Digital images are stored as arrays of "picture elements", or pixels. Images are stored as an array of numbers. The stored numbers refer to the shade of gray. With 256 shades of gray, a pixel can be represented by an 8-bit integer. a. k. a. Consists of 3 intensity images: one for each of red, green, and blue. (why only 3?) Images (and videos) can take a lot of memory to store. It would be nice to represent the image with less data. In reality, most images hold far less information than the raw memory requirements would suggest. The trick is to find a way to get rid of the unnecessary data. Consider the space of all 256x256 pixel 8-bit images. Standard for storing digital image information file extensions . jpg or . jpeg. All these technologies use the fourier transform to sort out what data to store, and what data to discard.

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