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Image compression

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ImageCompression
Basis ,[object Object]
B = [ b0 | b1 | b2 | b3 | b4 | b5 | b6 | b7 ] where b0, b1,.., b7 are 8 x 1 linearly independent vectors.
A “Good” basis should have more of low frequency vectors or bis (ideal: all ones in the column; imply less variation of pixel values in space) and very few high frequency vectors (alternate +1s and -1s; imply maximum variation of pixel values in space) in order to account for the general smoothness of images.,[object Object]
Choice of Basis
What makes a basis good?
Reference MIT OCW: Linear Algebra (Gilbert Strang) Lecture 31 MIT OCW: Linear Algebra (Gilbert Strang) Lecture 26 http://www.amara.com/IEEEwave/IW_wave_vs_four.html http://www.vidyasagar.ac.in/journal/maths/vol13/Art11.pdf http://users.rowan.edu/~polikar/WAVELETS http://en.wikipedia.org

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Image compression

  • 2.
  • 3.
  • 4. B = [ b0 | b1 | b2 | b3 | b4 | b5 | b6 | b7 ] where b0, b1,.., b7 are 8 x 1 linearly independent vectors.
  • 5.
  • 7. What makes a basis good?
  • 8.
  • 9.
  • 10. Reference MIT OCW: Linear Algebra (Gilbert Strang) Lecture 31 MIT OCW: Linear Algebra (Gilbert Strang) Lecture 26 http://www.amara.com/IEEEwave/IW_wave_vs_four.html http://www.vidyasagar.ac.in/journal/maths/vol13/Art11.pdf http://users.rowan.edu/~polikar/WAVELETS http://en.wikipedia.org