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Directed Study in Image Processing
Hurricane satellite image analysis using 2x2 and 3x3 wavelet transforms
Dr. J. DeradoPedro J. Soto
It all starts with Lena and Haar We began the course with the Haar Transform and the picture of Lena.
2nd Level Haar Transform
Lena, 2nd Level Haar Transform
3rd Level Haar Transform
Lena, 3rd Level Haar Transform
Haar Transform Histograms We look at the histogram of the resulting images and we adjust the
images in order to compress the range of brightness and exaggerate the details.
Using thresholds We then looked at the Haar transform when using a
threshold. If the coefficient exceeds the threshold, we mark the pixel in pure white.
Lena, Binary HaarThreshold 1.0
Using thresholds
Lena, Binary HaarThreshold 10.0
Using thresholds
Lena, Binary HaarThreshold 25.0
Absolute value Haar transform (no offset) We look at Haar transforms using the absolute value.
We then proceed to exaggerate the results by multiplying the coefficients by a scalar value.
Lena, Absolute HaarScalar Multiplier 1.0
Absolute value Haar transform (no offset)
Lena, Absolute HaarScalar Multiplier 2.5
Absolute value Haar transform (no offset)
Lena, Absolute HaarScalar Multiplier 10.0
Daubechies Transform For the following images, we have adjusted the
quadrants to show the highlights and details.
Lena, Daubechies
Daubechies Transform
Lena, DaubechiesExaggerated
3x3 Transform For the following images, we have adjusted the
quadrants to show the highlights and details.
Lena, 3x3 Transform
3x3 Transform
Lena, 3x3 TransformExaggerated
Hurricane Images Now we proceed to use the wavelet transform tools
that we have developed to process hurricane satellite pictures.
Hurricane Ivan, MODISHaar Transform, Scalar Multiplier 5.0
Hurricane Images
Hurricane Ivan, MODISHaar Transform, Binary Threshold 25.0
Hurricane Images
Hurricane Ivan, MODISDaubchies Transform, Exaggerated
Hurricane Images
Hurricane Ivan, MODIS3x3 Transform, Exaggerated
Hurricane Images
Hurricane Frances, MODISHaar Transform, Scalar multiplier5.0
Hurricane Images
Hurricane Frances, MODISHaar Transform, Binary Threshold 25.0
Hurricane Images
Hurricane Frances, MODISDaubechie, Exaggerated
Hurricane Images
Hurricane Frances, MODIS3x3 Transform, Exaggerated
Hurricane ImagesHurricane Isabel, MODISHaar TransformScalar Multiplier 5.0
Hurricane ImagesHurricane Isabel, MODISHaar Binary, Threshold 25.0
Hurricane ImagesHurricane Isabel, MODISDaubechies TransformExaggerated
Hurricane ImagesHurricane Isabel, MODISDaubchies TransformExaggerated
Hurricane ImagesHurricane Charley, MODISHaar TransformScalar Multiplier 5.0
Hurricane ImagesHurricane Charley, MODISHaar TransformBinary, Threshold 25.0
Hurricane ImagesHurricane Charley, MODISDaubechies TransformExaggerated
Hurricane ImagesHurricane Charley, MODIS3x3 TransformExaggerated
Hurricane ImagesHurricane Alex, MODISHaar TransformScalar Multiplier 5.0
Hurricane ImagesHurricane Alex, MODISHaar BinaryThreshold 25.0
Hurricane ImagesHurricane Alex, MODISDaubechies TransformExaggerated
Hurricane ImagesHurricane Alex, MODIS3x3 TransformExaggerated