Main description:

PDE & Level Sets: Algorithmic Approaches to Static & Motion Imagery is specially dedicated to the segmentation of complex shapes from the field of imaging sciences using level sets and PDEs. It covers the fundamentals of level sets, different kinds of concepts of both geodesic curvature flows and planar flows, as well as the power of incorporation of regional-statistics in level set framework. In covering this material, this book presents segmentation of object-in-motion imagery based on level sets in eigen analysis framework, while also presenting classical problems of boundary completion in cognitive images, like the pop-up of subjective contours in the famous triangle of Kanizsa using surface evolution framework, or the mean curvature evolution of a graph with respect to the Riemannian metric induced by the image. All results are presented for modal completion of cognitive objects with missing boundaries.

Contents:

The Contributors. 1. Review of PDEs and Level Sets. 2. Level Set Extentions, Flows and Crack Propagation 3. Geometric Regularizers for Level Sets/PDE Image Processing 4. Partial Differential Equations in Image Processing. 5. Segmentation of Motion Imagery Using PDEs. 6. Motion Image Segmentation Using Deformable Models. 7. Medical Image Segmentation Using Level Sets and PDEs. 8. Subjective Surfaces. 9. The Future of PDEs and Level Sets. 10. Index Words.