- Table of contents -

Introduction
Wavelet Processing
Approximation, Coding and Compression
Simple Denoising Methods
Wavelet Denoising
Advanced Denoising Methods
Audio Processing
Higher Dimensional Signal Processing
Computer Graphics
Numerical Analysis
Optimization
Variational Image Processing
Sparsity and Redundant Representations
Inverse Problems
Compressive Sensing
Geodesic Processing
Shapes
Mesh Processing
Mesh Parameterization and Deformation
Multiscale Mesh Processing


Introduction

  1. Basic Matlab/Scilab Instructions
  2. Introduction to Signal Processing
  3. Introduction to Image Processing
  4. Image Approximation with Fourier and Wavelets
  5. Image Processing with Wavelets
  6. Le traitement numérique des images

Wavelet Processing

  1. 1-D Haar Wavelets
  2. 2-D Haar Wavelets
  3. 1-D Daubechies Wavelets
  4. 2-D Daubechies Wavelets

Approximation, Coding and Compression

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

Simple Denoising Methods

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

Wavelet Denoising

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

Advanced Denoising Methods

  1. Denoising by Sobolev and Total Variation Flows
  2. Denoising by Sobolev and Total Variation Regularization
  3. Total Variation Regularization with Chambolle Algorihtm
  4. Outliers and Median Denoiser
  5. Mathematical Morphology
  6. Non Local Means
  7. Rank Filters for Image Processing
  8. Bilateral Filtering

Audio Processing

  1. Sound Processing with Short Time Fourier Transform
  2. Source Separation with Sparsity

Higher Dimensional Signal Processing

  1. Color Image Processing
  2. Volumetric wavelet Data Processing
  3. Multi-spectral Imaging
  4. Video Coding
  5. Optical Flow Computation
  6. Volumetric Radon Inversion
  7. Color Image Denoising with Median Filtering

Computer Graphics

  1. Gaussian Models for Texture Synthesis
  2. Texture Synthesis Using Wavelets
  3. Texture Synthesis with PDEs
  4. Multiplicative Cascade Synthesis of Signals and Textures
  5. Fluid Dynamics
  6. Texture Synthesis and Inpainting using Patch Projections
  7. Shape From Shading
  8. Grayscale and Color Histogram Manipulations

Numerical Analysis

  1. Wavelet Compression of Integral Operators

Optimization

  1. Gradient Descent Methods

Variational Image Processing

  1. Heat Diffusion
  2. Edge Detection
  3. Cartoon+Texture Variational Image Decomposition
  4. Active Contours using Parameteric Curves
  5. Active Contours using Level Sets
  6. Anisotropic Diffusion with Structure Tensor

Sparsity and Redundant Representations

  1. Sparse Spikes Deconvolution with Matching Pursuits
  2. Sparse Spikes Deconvolution with L1 Pursuit
  3. Sparse Representation in a Gabor Dictionary
  4. Dictionary Learning for Denoising
  5. Sudoku using POCS and Sparsity

Inverse Problems

  1. Sparse 1D Deconvolution
  2. Image Deconvolution using Variational Method
  3. Image Deconvolution using Sparse Regularization
  4. Inpainting using Variational Regularization
  5. Inpainting using Sparse Regularization
  6. Total Variation Regularization using Primal Dual Schemes
  7. Inpainting with NL-means
  8. Reconstruction from Partial Tomography Measurements
  9. Tomography Inversion using Tikhonov and Sparse Regularization
  10. Generalized Forward-Backward Splitting

Compressive Sensing

  1. Compressed Sensing of Sparse Signals
  2. Reconstruction from Compressive Fourier Measurements
  3. Compressed Sensing of Images
  4. Matrix Completion with Nuclear Norm Minimization
  5. Performance of Sparse Recovery Using L1 Minimization

Geodesic Processing

  1. Fast Marching in 2D
  2. Fast Marching in 3D
  3. Anisotropic Fast Marching
  4. Geodesic Mesh Processing
  5. Geodesic Distance Computation on 3-D Meshes
  6. Geodesic Farthest Point Sampling
  7. Geodesic Surface Remeshing
  8. Geodesic Triangulation for Image Compression
  9. Geodesic Segmentation
  10. Heuristically Driven Front Propagation

Shapes

  1. Geodesic Bending Invariants for Shapes
  2. Geodesic Bending Invariants for Surfaces
  3. Geodesic Bending Invariants with Landmarks
  4. Shape Correspondence with Fast Marching
  5. Shape Retrieval with Geodesic Descriptors
  6. Geodesic Medial Axsis
  7. Manifold Learning with Isomap

Mesh Processing

  1. Basics About 2D Triangulation
  2. Basics About 3D Meshes
  3. Mesh Denoising
  4. Fourier on Meshes
  5. PDEs on Meshes
  6. Volumetric Meshes

Mesh Parameterization and Deformation

  1. Mesh Parameterization
  2. Spherical Mesh Parameterization
  3. Spectral Mesh Flattening
  4. Generalized Barycentric Coordinates for Warpping
  5. Mesh Deformation

Multiscale Mesh Processing

  1. Subdivision Curves
  2. Subdivision Surfaces
  3. Mesh Simplification
  4. Spherical Haar Wavelets
  5. Wavelet Transform on 3D Meshes