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Exercise 2

Avg difficulty 2.5

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 RGBRGB color model to the YCbCrYC_bC_r model?

  3. Why do we decompose the image into a collection of 8×88\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?

Austin, Understanding Linear Algebra, §3.3 Image compression, Exercise 2

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Adapted from Understanding Linear Algebra © 2023 David Austin. Licensed under CC BY 4.0. Source: Understanding Linear Algebra. Imported at revision 3e6dced.