Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2, Volume 20, surveys the contemporary developments relating to the analysis and learning of images, shapes and forms, covering mathematical models and quick computational techniques. Chapter cover Alternating Diffusion: A Geometric Approach for Sensor Fusion, Generating Structured TV-based Priors and Associated Primal-dual Methods, Graph-based Optimization Approaches for Machine Learning, Uncertainty Quantification and Networks, Extrinsic Shape Analysis from Boundary Representations, Efficient Numerical Methods for Gradient Flows and Phase-field Models, Recent Advances in Denoising of Manifold-Valued Images, Optimal Registration of Images, Surfaces and Shapes, and much more.

Table of Contents:
1. Diffusion operators for multimodal data analysis Tal Shnitzer, Roy R. Lederman, Gi-Ren Liu, Ronen Talmon and Hau-tieng Wu 2. Intrinsic and extrinsic operators for shape analysis Yu Wang and Justin Solomon 3. Operator-based representations of discrete tangent vector fields Mirela Ben-Chen and Omri Azencot 4. Active contour methods on arbitrary graphs based on partial differential equations Christos Sakaridis, Nikos Kolotouros, Kimon Drakopoulos and Petros Maragos 5. Fast operator-splitting algorithms for variational imaging models: Some recent developments Roland Glowinski, Shousheng Luo and Xue-Cheng Tai 6. From active contours to minimal geodesic paths: New solutions to active contours problems by Eikonal equations Da Chen and Laurent D. Cohen 7. Computable invariants for curves and surfaces Oshri Halimi, Dan Raviv, Yonathan Aflalo and Ron Kimmel 8. Solving PDEs on manifolds represented as point clouds and applications Rongjie Lai and Hongkai Zhao 9. Tightening continuous relaxations for MAP inference in discrete MRFs: A survey Hariprasad Kannan, Nikos Komodakis and Nikos Paragios 10. Lagrangian methods for composite optimization Shoham Sabach and Marc Teboulle 11. Generating structured nonsmooth priors and associated primal-dual methods Michael Hintermuller and Kostas Papafitsoros 12. Graph-based optimization approaches for machine learning, uncertainty quantification and networks Andrea L. Bertozzi and Ekaterina Merkurjev 13. Survey of fast algorithms for Euler’s elastica-based image segmentation Sung Ha Kang, Xuecheng Tai and Wei Zhu 14. Recent advances in denoising of manifold-valued images R. Bergmann, F. Laus, J. Persch and G. Steidl 15. Image and surface registration Ke Chen, Lok Ming Lui and Jan Modersitzki 16. Metric registration of curves and surfaces using optimal control Martin Bauer, Nicolas Charon and Laurent Younes 17. Efficient and accurate structure preserving schemes for complex nonlinear systems Jie Shen