Exercise 2

There are several steps to the JPEG compression algorithm. The following questions examine the motivation behind some of them.

  1. What is the overall goal of the JPEG compression algorithm?

  2. Why do we convert colors from the the \(RGB\) color model to the \(YC_bC_r\) model?

  3. Why do we decompose the image into a collection of \(8\times8\) arrays of pixels?

  4. What role does the Discrete Fourier Transform play in the JPEG compression algorithm?

  5. Why is the information conveyed by the rapid-variation Fourier coefficients, generally speaking, less important than the slow-variation coefficients?