Computer Labs
Mathematica
The following labs have been tested with Mathematica 6.0. They may well
work with previous versions of Mathematica but no testing has been conducted.
Note: Almost all the labs require the
DiscreteWavelets Package.
- Chapter 2
* indicates a Software Development lab.
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| # | Title | File |
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| 2.1 | Inner Products and Norms | vectors |
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| 2.2 | Matrix Arithmetic | matrices |
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| 2.3 | Block Matrix Arithmetic | blocks |
- Chapter 3
* indicates a Software Development lab.
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| # | Title | File
|
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| 3.1 | Elementary Image Processing via Matrix Operations | basicimaging |
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| 3.2 | Edges in Images | hmatrixmult |
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| 3.3 | Image Processing and Block Matrices | blockmatrix |
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| 3.4 | Intensity Transformations* | intensitytransforms |
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| 3.5 | Exploring Intensity Transformations | intensitytransformstest |
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| 3.6 | Color Space Transformations* | colortransformsdev |
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| 3.7 | Exploring Color Space Transformations | colortransformslab |
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| 3.8 | Color to Grayscale and Pseudocolor Maps | colorsandgray |
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| 3.9 | Performing Color Histogram Equalization | colorhisteq |
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| 3.10 | Cumulative Energy, Entropy, and PSNR* | measurements |
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| 3.11 | Entropy and PSNR | entropypsnr |
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| 3,12 | Cumulative Energy and Data Compression | cumulativeenergy |
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| 3.13 | Huffman Coding* | huffmancodingdev |
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| 3.14 | Huffman Coding | huffmanlab |
- Chapter 4
* indicates a Software Development lab.
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| # | Title | File
|
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| 4.1 | Complex Numbers and Arithmetic | complexarithmetic |
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| 4.2 | Fourier Series | fourierseries |
- Chapter 5
* indicates a Software Development lab.
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| # | Title | File
|
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| 5.1 | Convolution | convolution |
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| 5.2 | Filters | filters |
- Chapter 6
* indicates a Software Development lab.
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| # | Title | File
|
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| 6.1 | The 1D Haar Wavelet Transformation* | hwt1d1 |
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| 6.2 | Haar Wavelet Transformation | hwt |
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| 6.3 | 1D Haar Wavelet Transformations and Inverse* | hwt1d |
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| 6.4 | Iterated HWT | haariterated1d |
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| 6.5 | 2D Haar Wavelet Transformation and Inverse* | hwt2d |
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| 6.6 | 2D Haar Wavelet Transformation and Inverse | haariterated2d |
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| 6.7 | Incremental Image Resolution | hwtres |
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| 6.8 | Partial Image Inversion | partinv |
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| 6.9 | Image Compression | haarcomp |
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| 6.10 | Edge Detection | haar1edge |
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| 6.11 | Jump Detection | haar1Ddetect |
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| 6.12 | Lifting | haarlifting |
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| 6.13 | CAPTCHA | haarcaptcha |
- Chapter 7
* indicates a Software Development lab.
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| # | Title | File
|
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| 7.1 | D4 and D6 Filters* | daubd4d6filters |
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| 7.2 | Image Compression with D4 and D6 | daubd4d6compression |
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| 7.3 | Generating Daubechies Filters* | daubfilters |
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| 7.4 | Daubechies Filters | labdaubfilterstest |
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| 7.5 | 1D Daubechies Wavelet Transformations* | wt1d |
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| 7.6 | 2D Daubechies Wavelet Transformations* | wt2d |
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| 7.7 | Matrix Completion for Daubechies Wavelet Transformation | matrixcompletion |
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| 7.8 | Data Compression | daubcomp |
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| 7.9 | Progressive Image Reconstruction | imagereconstruction |
- Chapter 8
* indicates a Software Development lab.
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| # | Title | File
|
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| 8.1 | Generating Coiflet Filters* | coiffilters |
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| 8.2 | Generalizing the Wavelet Transformation* | wtoffset |
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| 8.3 | Data Compression | coifdatacomp |
- Chapter 9
* indicates a Software Development lab.
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| # | Title | File
|
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| 9.1 | Wavelet Shrinkage* | waveletshrinkage |
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| 9.2 | Wavelet Shrinkage | shrinkageintro |
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| 9.3 | VisuShrink* | visushrink |
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| 9.4 | VisuShrink | visushrinklab |
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| 9.5 | Constructing λsure* | lambdasure |
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| 9.6 | Wavelet Shrinkage* | waveletshrinkage |
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| 9.7 | Sparseness of λsure | sparsesure |
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| 9.8 | SureShrink | sureshrink |
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| 9.9 | Color Image Denoising | colordenoise |
- Chapter 10
* indicates a Software Development lab.
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| # | Title | File
|
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| 10.1 | Generating Biorthogonal Spline Filter Pairs* | biorthsplinefilters |
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| 10.2 | Generating the CDF97 Filters* | cdf97filters |
- Chapter 11
* indicates a Software Development lab.
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| # | Title | File
|
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| 11.1 | 1D Biorthogonal Wavelet Transforms* | bwt1d |
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| 11.2 | 2D Biorthogonal Wavelet Transforms* | bwt2d |
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| 11.3 | 1D Biorthogonal Wavelet Transforms* | bwt1d |
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| 11.4 | 2D Biorthogonal Wavelet Transforms* | bwt2d |
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| 11.5 | Data Compression | biorthcomp |
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| 11.6 | Investigating Algorithm 11.4 | bwtmod |
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| 11.7 | Modified Biorthogonal Wavelet Transform for (5,3)* | fastbiorth53 |
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| 11.8 | Modified Biorthogonal Wavelet Transform* | modifiedbiorth |
- Chapter 12
* indicates a Software Development lab.
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| # | Title | File
|
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| 12.1 | JPEG Compression | jpeg |
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| 12.2 | The Lifting Scheme* | lifting |
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| 12.3 | JPEG2000 Compression | jpeg2000 |
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