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Using Set Partitioning in Hierarchical Trees in the EZW Algorithm

Using Set Partitioning in Hierarchical Trees in the EZW Algorithm. Yeon Hyang Kim William L’Huillier. Introduction to wavelet transform. May contain multiple levels Pixel magnitude levels decrease in 3 quadrants Total size remains constant. Original idea of encoding.

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Using Set Partitioning in Hierarchical Trees in the EZW Algorithm

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  1. Using Set Partitioning in Hierarchical Trees in the EZW Algorithm Yeon Hyang Kim William L’Huillier

  2. Introduction to wavelet transform May contain multiple levels Pixel magnitude levels decrease in 3 quadrants Total size remains constant

  3. Original idea of encoding • Use sorting passes to characterize significance of information in bit depth • Output the pixel coordinates that corresponds to given significance levels • Repeat in decrementing significance levels • Much resources spend on sorting pass

  4. Set Partitioning in Hierarchical Trees • Elements are tagged significant or insignificant with respect to a given threshold • Parse through the image in a tree format • Assumed information: root of tree has greatest information

  5. Original image Reconstruction from compression level 4 Rates: .2288 and .2177 Reconstruction from compression level 6 Rates: .1283 and .1332

  6. implications • This algorithm is able to send the most significant information first before ending the transmition • JPEG2000 • Questions?

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