Handbook of Image and Video Processing, 2nd Edition

4.14

Diffusion Partial Differential Equations for Edge Detection

Scott T. Acton,     University of Virginia

1 Introduction and Motivation.

1.1 Partial Differential Equations in Image and Video Processing

1.2 Edges and Anisotropic Diffusion

2 Background on Diffusion.

2.1 Scale Space and Isotropic Diffusion

2.2 Anisotropic Diffusion

3 Anisotropic Diffusion Techniques.

3.1 The Diffusion Coefficient

3.2 The Diffusion Partial Differential Equation

3.3 Variational Formulation

3.4 Multiresolution Diffusion

3.5 Multispectral Anisotropic Diffusion

3.6 Speckle Reducing Anisotropic Diffusion

4 Application of Anisotropic Diffusion to Edge Detection.

4.1 Edge Detection by Thresholding

4.2 Edge Detection from Image Features

4.3 Quantitative Evaluation ...