Image Processing Based on Partial Differential Equations

Part I. Digital Image Inpainting, Image Dejittering, and Optical Flow Estimation

1. Image Inpainting Using a TV-Stokes Equation
Xue-Cheng Tai, Stanley Osher, Randi Holm

2. Error Analysis for H1 Based Wavelet Interpolations
Tony F. Chan, Hao-Min Zhou, Tie Zhou

3. Image Dejittering Based on Slicing Moments
Sung Ha Kang, Jackie Shen

4. CLG Method for Optical Flow Estimation Based on Gradient Constancy Assumption
Adam Rabcewicz

Part II. Denoising and Total Variation Methods

5. On Multigrids for Solving a Class of Improved Total Variation Based Staircasing Reduction Models
Joseph Savage, Ke Chen

6. A Method for Total Variation-based Reconstruction of Noisy and Blurred Images
Qianshun Chang, Jing Xu, Weicheng Wang

7. Minimization of an Edge-Preserving Regularization Functional by Conjugate Gradient Type Methods
Jian-Feng Cai, Raymond Chan, Benedetta Morini

8. A Newton-type Total Variation Diminishing Flow
Wolfgang Ring

9. Chromaticity Denoising using Solution to the Skorokhod Problem
Dariusz Borkowski

10. Improved 3D Reconstruction of Interphase Chromosomes Based on Nonlinear Diffusion Filtering
Jan Hubený, Pavel Matula, Petr Matula, Michal Kozubek

Part III. Image Segmentation

11. Some Recent Developments in Variational Image Segmentation
Tony F. Chan, Mark Moelich, Berta Sandberg

12. Application of Non-Convex BV Regularization for Image Segmentation
Klaus Frick, Otmar Scherzer

13. Region-Based Variational Problems and Normal Alignment – Geometric Interpretation of Descent PDEs
Jan Erik Solem, Niels Chr. Overgaard

14. Fast PCLSM with Newton Updating Algorithm
Xue-Cheng Tai, Chang-Hui Yao

Part IV. Fast Numerical Methods

15. Nonlinear Multilevel Schemes for Solving the Total Variation Image Minimization Problem
Tony F. Chan, Ke Chen, Xue-Cheng Tai

16. Fast Implementation of Piecewise Constant Level Set Methods
Oddvar Christiansen, Xue-Cheng Tai

17. The Multigrid Image Transform
Paul M. Zeeuw

18. Minimally Stochastic Schemes for Singular Diffusion Equations
Bernhard Burgeth, Joachim Weickert, Sibel Tari

Part V. Image Registration

19. Total Variation Based Image Registration
Lars Hömke, Claudia Frohn-Schauf, Stefan Henn, Kristian Witsch

20. Variational Image Registration Allowing for Discontinuities in the Displacement Field
Sven Kabus, Bernd Fischer, Astrid Franz

Part VI. Inverse Problems

21. Shape Reconstruction from Two-Phase Incompressible Flow Data using Level Sets
Rossmary Villegas, Oliver Dorn, Miguel Moscoso, Manuel Kindelan

22. Reservoir Description Using a Binary Level Set Approach with Additional Prior Information About the Reservoir Model
Lars Kristian Nielsen, Xue-Cheng Tai, Sigurd Ivar Aanonsen, Magne Espedal

Keywords: Computer Science, Image Processing and Computer Vision, Computing Methodologies, Computer Imaging, Vision, Pattern Recognition and Graphics, Visualization