Handbook of Image and Video Processing, 2nd Edition

4.16

PDEs for Morphological Scale Spaces and Eikonal Applications

Petros Maragos,     National Technical University of Athens

1 Introduction.

2 Multidimensional Morphologic Systems and Slope Transforms.

2.1 Morphologic Systems

2.2 Slope Transforms

2.3 Min-Sum Difference Equations and Discrete Slope Filters

3 Partial Differential Equations for Morphologic Scale Spaces.

3.1 Partial Differential Equations for Multiscale Dilations and Erosions

3.2 Slope Transforms and Dilation Partial Differential Equations

3.3 Numeric Algorithm for Dilation Partial Differential Equations

3.4 Partial Differential Equations Generating Openings and Closings

3.5 Partial Differential Equations for Multiscale Reconstruction Filters

4 Curve Evolution, Level Sets, ...