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2D Continuous Wavelet Transform

2D Continuous Wavelet Transform. Heejong Yoo(ECE) April 26, 2001. Project Description. The idea of this project is from the software of Crit-tech.com(Psilets 3.0) ( www.crit-tech.com ). Project Description Understand 1D, 2D DWT(FWT_PO.m, FWT2_PO.m in WaveLab)

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2D Continuous Wavelet Transform

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  1. 2D Continuous Wavelet Transform Heejong Yoo(ECE) April 26, 2001

  2. Project Description • The idea of this project is from the software of Crit-tech.com(Psilets 3.0) (www.crit-tech.com) • Project Description • Understand 1D, 2D DWT(FWT_PO.m, FWT2_PO.m in WaveLab) • Understand 1D CWT(CWT.m in WaveLab) • Develop 2D CWT algorithm for image processing at fixed scale

  3. CWT & DWT

  4. In one dimension, (time domain) (frequency domain) In two dimension, (time domain) (frequency domain) We want to calculate 2D CWT in frequency domain(just like WaveLab) When scale s is fixed, Continuous Wavelet Transform

  5. Frequency domain 2D Mexican Hat wavelet Time domain

  6. 2D Mexican Hat wavelet (Movie)low frequency  high frequency <Time Domain Wavelet> <Fourier Domain Wavelet>

  7. Output Image Display 4 different Input Image In general, low scale means high frequency, high scale means low frequency In WaveLab, low scale means low frequency, high scale means high frequency Wavelet Select Scale(1~100) Fourier Domain Wavelet GUI based 2D CWT This program follows the WaveLab

  8. Crit-tech Psilets 3.0 Output (1)

  9. Scale = 38

  10. Scale =2

  11. Scale =1

  12. Crit-tech Psilets 3.0 Output (2)

  13. Scale =48

  14. Scale =3

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