Matlab's tours

These are the Matlab tours, that can be browsed as HTML pages, but can also be downloaded as iPython notebooks. Please read the installation page for more information about how to run these tours. A lot of Matlab tours are also compatible with Scilab and with GNU Octave.

Introduction
Wavelet Processing
Approximation, Coding and Compression
Simple Denoising Methods
Wavelet Denoising
Advanced Denoising Methods
Audio Processing
Higher Dimensional Signal Processing
Computer Graphics
Optimization
Optimal Transport
Machine Learning
Sparsity and Redundant Representations
Inverse Problems
Partial Differential Equations
Segmentation and Curves Evolutions
Geodesic Processing
Shapes
Mesh Processing
Mesh Parameterization and Deformation
Multiscale Mesh Processing

Introduction

• Basic Matlab/Scilab Instructions    (ipynb|web)
• Introduction to Signal Processing    (ipynb|web)
• Introduction to Image Processing    (ipynb|web)
• Image Approximation with Fourier and Wavelets    (ipynb|web)
• Image Processing with Wavelets    (ipynb|web)
• Le traitement numérique des images    (ipynb|web)

Wavelet Processing

• 1-D Haar Wavelets    (ipynb|web)
• 2-D Haar Wavelets    (ipynb|web)
• 1-D Daubechies Wavelets    (ipynb|web)
• 2-D Daubechies Wavelets    (ipynb|web)

Approximation, Coding and Compression

• Image Approximation with Orthogonal Bases    (ipynb|web)
• Entropic Coding and Compression    (ipynb|web)
• Natural Images Statistics    (ipynb|web)
• Image Compression with Wavelets    (ipynb|web)
• Wavelet Domain Image Watermarking    (ipynb|web)

Simple Denoising Methods

• Signal and Image Noise Models    (ipynb|web)
• Linear Signal Denoising    (ipynb|web)
• Linear Image Denoising    (ipynb|web)
• Denoising by Sobolev and Total Variation Regularization    (ipynb|web)

Wavelet Denoising

• Signal Denoising with Wavelets    (ipynb|web)
• Image Denoising with Wavelets    (ipynb|web)
• Advanced Wavelet Thresholdings    (ipynb|web)
• Wavelet Block Thresholding    (ipynb|web)
• Data Dependent Noise Models    (ipynb|web)
• Curvelet Denoising    (ipynb|web)

Advanced Denoising Methods

• Mathematical Morphology    (ipynb|web)
• Non Local Means    (ipynb|web)
• Rank Filters for Image Processing    (ipynb|web)
• Bilateral Filtering    (ipynb|web)
• Stein Unbiased Risk Estimator    (ipynb|web)

Audio Processing

• Sound Processing with Short Time Fourier Transform    (ipynb|web)
• Source Separation with Sparsity    (ipynb|web)
• Sparse Representation in a Gabor Dictionary    (ipynb|web)

Higher Dimensional Signal Processing

• Color Image Processing    (ipynb|web)
• Volumetric wavelet Data Processing    (ipynb|web)
• Multi-spectral Imaging    (ipynb|web)
• Optical Flow Computation    (ipynb|web)
• Volumetric Radon Inversion    (ipynb|web)
• Color Image Denoising with Median Filtering    (ipynb|web)

Computer Graphics

• Gaussian Models for Texture Synthesis    (ipynb|web)
• Texture Synthesis Using Wavelets    (ipynb|web)
• Texture Synthesis with PDEs    (ipynb|web)
• Multiplicative Cascade Synthesis of Signals and Textures    (ipynb|web)
• Fluid Dynamics    (ipynb|web)
• Texture Synthesis and Inpainting using Patch Projections    (ipynb|web)
• Shape From Shading    (ipynb|web)

Optimization

• Gradient Descent Methods    (ipynb|web)
• Newton Method    (ipynb|web)
• Conjugate Gradient    (ipynb|web)
• Forward-Backward Proximal Splitting    (ipynb|web)
• Douglas Rachford Proximal Splitting    (ipynb|web)
• Primal-Dual Proximal Splitting    (ipynb|web)
• Generalized Forward-Backward Proximal Splitting    (ipynb|web)
• Fenchel-Rockafellar Duality    (ipynb|web)
• Homotopy Continuation    (ipynb|web)
• Matching Pursuits    (ipynb|web)

Optimal Transport

• Optimal Transport with Linear Programming    (ipynb|web)
• Optimal Transport with Benamou-Brenier Algorithm    (ipynb|web)
• Optimal Transport in 1-D    (ipynb|web)
• Sliced Optimal Transport    (ipynb|web)
• Entropic Regularization of Optimal Transport    (ipynb|web)
• Advanced Topics on Sinkhorn Algorithm    (ipynb|web)
• Semi-discrete Optimal Transport    (ipynb|web)

Machine Learning

• PCA, Nearest-Neighbors and Clustering    (ipynb|web)
• Linear Regression and Kernel Methods    (ipynb|web)
• Logistic Classification    (ipynb|web)
• Stochastic Gradient descent    (ipynb|web)
• Neural Networks    (ipynb|web)

Sparsity and Redundant Representations

• Compressed Sensing of Images    (ipynb|web)
• Matrix Completion with Nuclear Norm Minimization    (ipynb|web)
• Dictionary Learning    (ipynb|web)
• Dictionary Learning for Denoising    (ipynb|web)
• Performance of Sparse Recovery Using L1 Minimization    (ipynb|web)
• Sudoku using POCS and Sparsity    (ipynb|web)
• Sparse Spikes Deconvolution over the Space of Measures    (ipynb|web)
• Sparse Spikes Deconvolution with Continuous Basis-Pursuit    (ipynb|web)
• Sparse Spikes Deconvolution with MUSIC Algorithm    (ipynb|web)

Inverse Problems

• Image Deconvolution using Variational Method    (ipynb|web)
• Image Deconvolution using Sparse Regularization    (ipynb|web)
• Inpainting using Variational Regularization    (ipynb|web)
• Inpainting using Sparse Regularization    (ipynb|web)
• Cartoon+Texture Variational Image Decomposition    (ipynb|web)
• Reconstruction from Partial Tomography Measurements    (ipynb|web)
• Tomography Inversion using Tikhonov and Sparse Regularization    (ipynb|web)

Partial Differential Equations

• Linear Diffusion Flows    (ipynb|web)
• Non-Linear Diffusion Flows    (ipynb|web)
• Tensor-driven Diffusion Flows    (ipynb|web)
• Wavelet Compression of Integral Operators    (ipynb|web)

Segmentation and Curves Evolutions

• Edge Detection    (ipynb|web)
• Active Contours using Parameteric Curves    (ipynb|web)
• Active Contours using Level Sets    (ipynb|web)
• Convex Region-Based Image Segmentation    (ipynb|web)

Geodesic Processing

• Dijkstra and Fast Marching Algorithms    (ipynb|web)
• Fast Marching in 2D    (ipynb|web)
• Fast Marching in 3D    (ipynb|web)
• Anisotropic Fast Marching    (ipynb|web)
• Geodesic Mesh Processing    (ipynb|web)
• Geodesic Distance Computation on 3-D Meshes    (web)
• Geodesic Farthest Point Sampling    (ipynb|web)
• Geodesic Surface Remeshing    (ipynb|web)
• Geodesic Triangulation for Image Compression    (ipynb|web)
• Geodesic Segmentation    (ipynb|web)
• Heuristically Driven Front Propagation    (ipynb|web)

Shapes

• Geodesic Bending Invariants for Shapes    (ipynb|web)
• Geodesic Bending Invariants for Surfaces    (ipynb|web)
• Geodesic Bending Invariants with Landmarks    (ipynb|web)
• Shape Correspondence with Fast Marching    (ipynb|web)
• Shape Retrieval with Geodesic Descriptors    (ipynb|web)
• Geodesic Medial Axis    (ipynb|web)
• Manifold Learning with Isomap    (ipynb|web)

Mesh Processing

• Basics About 2D Triangulation    (ipynb|web)
• Basics About 3D Meshes    (ipynb|web)
• Mesh Denoising    (ipynb|web)
• Fourier on Meshes    (ipynb|web)
• PDEs on Meshes    (ipynb|web)
• Volumetric Meshes    (ipynb|web)
• Geodesic Distance with Poisson Equation    (web)

Mesh Parameterization and Deformation

• Mesh Parameterization    (ipynb|web)
• Spherical Mesh Parameterization    (ipynb|web)
• Spectral Mesh Flattening    (ipynb|web)
• Generalized Barycentric Coordinates for Warpping    (ipynb|web)
• Mesh Deformation    (ipynb|web)

Multiscale Mesh Processing

• Subdivision Curves    (ipynb|web)
• Subdivision Surfaces    (ipynb|web)
• Mesh Simplification    (ipynb|web)
• Spherical Haar Wavelets    (web)
• Wavelet Transform on 3D Meshes    (ipynb|web)