Handbook of Image and Video Processing, 2nd Edition

4.17

Geometric Active Contours for Image Segmentation

Vicent Caselles,     Universitat Pompeu-Fabra

Ron Kimmel,     Technion

Guillermo Sapiro,     University of Minnesota

1 Introduction.

2 Mathematic Notations and Problem Formulation.

3 From Edge Detectors to Geometric Evolutions.

3.1 Geodesic Active Contour

3.2 Alignment Term

3.3 Weighted Region

3.4 Minimal Variance

3.5 Intermezzo

4 Calculus of Variations for Geometric Measures.

4.1 Another Intermezzo

5 Gradient Descent in Level Set Formulation.

6 Efficient Numeric Schemes.

7 Examples.

8 Additional Comments on Related Developments.

9 Summary.

Acknowledgments.

References.

1 Introduction

Image segmentation is one of the most fundamental, useful, and studied topics in image processing ...