We advance through the chapter 12: Image compression and JPEG standard.
The main ideas of the compression are the following two: first, the pictures form a linear space, namely the space of functions defined on the pixels of the camera sensor, with values in real numbers. Second, the basis of this space used by camera (just one pixel is white, all other pixels are black) is not natural for humans, and the natural basis for humans is what we called the Fourier basis.
The later consists of oscillating pictures, and pictures with higher oscillations tend to be less important. JPEG compression of a picture throws away the less important components unless they are REALLY significant.
The third exercise is due on January 12.
Correction (Jan 19): Due date is moved to January 26. The exercise was corrected.
