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ECE 278A Homework 5: Implementing 2D Wavelets Transform using Haar Wavelets, Assignments of Electrical and Electronics Engineering

University of California - Santa BarbaraElectrical and Electronics Engineering

Instructions for creating two matlab functions, one for wavelet analysis and another for wavelet synthesis, to implement a 2d wavelets transform using haar wavelets. Students are required to write these functions with the given format and ensure the separability of haar filters is utilized.

Typology: Assignments

Pre 2010

Uploaded on 09/17/2009

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ECE 278A - HW #5: Wavelets Transform (DUE Wed. November 14th)
1. Write two Matlab functions to implement the 2D Wavelets (using the Haar
transform). Your functions (one for the analysis and one for the synthesis)
should have the following format:
[F]=WaveletAnalysis(f,n);
where
•f is a given image that will be provided (gray scale, 8 bits quantized);
•n is the number of level of the wavelet decomposition;
•F is the transformed image (of the same size of the input one);
[g]=WaveletSynthesis(F,n);
where
•F is the output of the analysis function;
•n is the number of level of the wavelet decomposition;
•g is the reconstructed image;
Make sure you exploit the separability of the Haar filters.
1

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ECE 278A - HW #5: Wavelets Transform (DUE Wed. November 14th)

  1. Write two Matlab functions to implement the 2D Wavelets (using the Haar transform). Your functions (one for the analysis and one for the synthesis) should have the following format:

[F]=WaveletAnalysis(f,n);

where

  • f is a given image that will be provided (gray scale, 8 bits quantized);
  • n is the number of level of the wavelet decomposition;
  • F is the transformed image (of the same size of the input one);

[g]=WaveletSynthesis(F,n);

where

  • F is the output of the analysis function;
  • n is the number of level of the wavelet decomposition;
  • g is the reconstructed image;

Make sure you exploit the separability of the Haar filters.