Introduction

  1. Basics of Matlab/Scilab Programming
  2. Introduction to Signal Processing
  3. Introduction to Image Processing
  4. Introduction to 2D Wavelet Processing
  5. Introduction to 2D Approximation with Fourier and Wavelets

Wavelet Processing

  1. 1D Haar Wavelet Transform
  2. 2D Haar Wavelet Transform
  3. 1D Daubechies Wavelet Transform
  4. 2D Daubechies Wavelet Transform

Approximation, Coding and Compression

  1. Approximation with Orthogonal Bases
  2. Entropic Coding
  3. Wavelet Image Compression
  4. Wavelets Statistics of Natural Images
  5. Wavelet Domain Image Watermarking

Noise and Linear Denoising

  1. Signal and Image Noise Models
  2. Image Denoising with Linear Methods

Wavelet Non-linear Denoising

  1. 1D Signal Denoising with Wavelets
  2. 2D Image Denoising with Wavelets
  3. Advanced Wavelet Thresholdings
  4. Wavelet Block Thresholding
  5. Data Dependent Noise Models
  6. Curvelets Denoising

Variational Denoising

  1. Sobolev and TV Denoising
  2. Outliers and Median Denoiser
  3. Non-local Mean

Variational Image Processing

  1. Edge Detection and Heat Diffusion
  2. Total Variation Minimization
  3. Implicit Actice Contours
  4. Parametric Active Contours
  5. Anisotropic Diffusion with Structure Tensor

Audio Processing

  1. Audio Processing with the Short Time Fourier Transform
  2. Audio Separation with Sparsity

Higher Dimensional Signal Processing

  1. Color Image Processing
  2. Color Image Denoising with Median Filtering
  3. Volumetric Data Processing with Wavelets
  4. Optical Flow Computation
  5. Video Processing
  6. Multi-spectral Image Processing
  7. TV Inversion of 3D Tomography

Computer Graphics

  1. Texture Synthesis using Fourier Transform
  2. Texture Synthesis using Wavelets
  3. Texture Synthesis using Diffusion
  4. Fluid Dynamics
  5. Texture Synthesis and Inpainting using Patch Projections
  6. Multiplicative Cascade Synthesis of Signals and Textures
  7. Shape From Shading

Sparsity and Redundant Representations

  1. Sparse Spikes Deconvolution with Matching Pursuit
  2. Sparse Spikes Deconvolution with Basis Pursuit
  3. Audio Pursuits in a Gabor Dictionary
  4. Dictionary Learning

Inverse Problems

  1. Variational Image Inpainting
  2. Sparse Image Inpainting
  3. Sparse Signal Deconvolution
  4. Image Deconvolution
  5. Reconstruction from Partial Tomography Measurements
  6. Inpainting with NL-means

Compressive Sensing

  1. Sparse Signal Compressed Sensing
  2. Reconstruction from Compressive Fourier Measurements

Numerical Analysis

  1. Wavelet Compression of Integral Operators

Mesh Processing

  1. Basics of 2D Triangulation
  2. Basics of 3D Meshes
  3. Mesh Denoising
  4. PDEs on Meshes
  5. Fourier on Meshes
  6. Mesh Parameterization
  7. Spherical Mesh Parameterization
  8. Mesh Flattening
  9. Mesh Deformation
  10. Subdivision Curves
  11. Subdivision Surfaces
  12. Wavelets on 3D Meshes
  13. Mesh Simplification
  14. Generalized Barycentric Coordinates for Warpping

Geodesic Processing

  1. Fast Marching in 2D
  2. Fast Marching in 3D
  3. Farthest Point Sampling
  4. Image Compression with Geodesic Triangulation
  5. Anisotropic Fast Marching
  6. Geodesic Computation on 3D Meshes
  7. Geodesic Surface Remeshing (soon available)
  8. Heuristically Driven Propagation

Shape and Surface Analysis

  1. Shape Matching using the Fast Marching
  2. Geodesic Bending Invariants for 2D Shapes
  3. Geodesic Bending Invariants for 3D Surfaces
  4. Geodesic Bending Invariants using Farthest Point
  5. Shape Retrieval with Geodesic Descriptors
  6. Geodesic Medial Axsis
  7. Geodesic Dimensionality Reduction