"Scale Space and PDE Methods in Computer Vision" ed. by Ron Kimmel, Nir Sochen, Joachim Weickert

The 53 revised full papers presented were carefully reviewed and selected from 79 submissions. The papers are organized in topical sections on novel linear spaces, image features, deep structure, image processing, medical applications, contours, tensors, non-linear filters, and motion.





This book constitutes the refereed proceedings of the 5th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2005, held in Hofgeismar, Germany in April 2005.

Table of Contents
Oral Presentations
Novel Linear Scale-Spaces
Relativistic Scale-Spaces - Bernhard Burgeth, Stephan Didas, Joachim Weickert
Regularity and Scale-Space Properties of Fractional High Order Linear Filtering - Stephan Didas, Bernhard Burgeth, Atsushi Imiya, Joachim Weickert
Image Features
Image Features and the 1-D, 2nd Order Gaussian Derivative Jet - Lewis D. Griffin, Martin Lillholm
A New Technique for Local Symmetry Estimation - Matthew Mellor, Michael Brady
Geometry of Isophote Curves - Andre Diatta, Peter J. Giblin
Deep Structure
Stability of Top-Points in Scale Space - E. Balmachnova, L.M.J. Florack, B. Platel, F.M.W. Kanters, B.M. ter Haar Romeny
Discrete Representation of Top Points via Scale-Space Tessellation - B. Platel, M. Fatih Demirci, A. Shokoufandeh, L.M.J. Florack, F.M.W. Kanters, B.M. ter Haar Romeny, S.J. Dickinson
A Linear Image Reconstruction Framework Based on Sobolev Type Inner Products - Bart Janssen, Frans Kanters, Remco Duits, Luc Florack, Bart ter Haar Romeny
Multi-scale Singularity Trees: Soft-Linked Scale-Space Hierarchies - Kerawit Somchaipeng, Jon Sporring, Sven Kreiborg, Peter Johansen
Image Processing
Image Deblurring in the Presence of Salt-and-Pepper Noise - Leah Bar, Nir Sochen, Nahum Kiryati
Medical Applications
Phase Contrast MRI Segmentation Using Velocity and Intensity - Markus Persson, Jan Erik Solem, Karin Markenroth, Jonas Svensson, Anders Heyden
Active Shape Models and Segmentation of the Left Ventricle in Echocardiography - Nikos Paragios, Marie-Piere Jolly, Maxime Taron, Rama Ramaraj
A Variational Image Registration Approach Based on Curvature Scale Space - Stefan Henn, Kristian Witsch
Contours
A Scale-Space Analysis of a Contour Figure Using a Crystalline Flow - Hidekata Hontani, Yu Suzuki, Yoshikazu Giga, Mi-Ho Giga, Koichiro Deguchi
Multiscale Active Contours - Xavier Bresson, Pierre Vandergheynst, Jean-Philippe Thiran
Tensors
Riesz-Transforms Versus Derivatives: On the Relationship Between the Boundary Tensor and the Energy Tensor - Ullrich Kothe, Michael Felsberg
GET: The Connection Between Monogenic Scale-Space and Gaussian Derivatives - Michael Felsberg, Ullrich Kothe
Matrix-Valued Filters as Convex Programs - Martin Welk, Florian Becker, Christoph Schnorr, Joachim Weickert
Non-linear Filters
Retinex by Two Bilateral Filters - Michael Elad
Estimation of the Optimal Variational Parameter via SNR Analysis - G. Gilboa, N.A. Sochen, Y.Y. Zeevi
Motion
A Contrast Invariant Approach to Motion Estimation - V. Caselles, L. Garrido, L. Igual
Vortex and Source Particles for Fluid Motion Estimation - Anne Cuzol, Etienne Memin
Discrete Orthogonal Decomposition and Variational Fluid Flow Estimation - Jing Yuan, Paul Ruhnau, Etienne M´emin, Christoph Schnorr
Discontinuity-Preserving Computation of Variational Optic Flow in Real-Time - Andres Bruhn, Joachim Weickert, Timo Kohlberger, Christoph Schnorr
Poster Presentations
The Structure of Shapes Scale Space Aspects of the (pre-) Symmetry Set - Arjan Kuijper, Ole Fogh Olsen
A Non-convex PDE Scale Space - Markus Grasmair, Frank Lenzen, Andreas Obereder, Otmar Scherzer, Matthias Fuchs
Tree Edit Distances from Singularity Theory - Ole Fogh Olsen
The Stochastic Structure of Images - Jan-Mark Geusebroek
Skeletons of 3D Shapes - Jayant Shah
Scale-Space Generation via Uncertainty Principles - Chen Sagiv, Nir A. Sochen, Yehoshua Y. Zeevi
Scale Invariant Texture Analysis Using Multi-scale Local Autocorrelation Features - Yousun Kang, Ken’ichi Morooka, Hiroshi Nagahashi
Figure Field Analysis of Scale-Space Image - Tomoya Sakai, Atsushi Imiya
Mumford-Shah Model Based Man-Made Objects Detection from Aerial Images - Guo Cao, Xin Yang, Dake Zhou
A Multigrid Approach to Image Processing - Paul M. de Zeeuw
A Total Variation Motion Adaptive Deinterlacing Scheme - Sune Keller, Francois Lauze, Mads Nielsen
A Geometric Formulation of Gradient Descent for Variational Problems with Moving Surfaces - Jan Erik Solem, Niels Chr. Overgaard
On Image Reconstruction from Multiscale Top Points - Frans Kanters, Martin Lillholm, Remco Duits, Bart Janssen, Bram Platel, Luc Florack, Bart ter Haar Romeny
Texture Mapping via Spherical Multi-dimensional Scaling - A. Elad, Y. Keller, R. Kimmel
On Similarity-Invariant Fairness Measures - Alexander Brook, Alfred M. Bruckstein, Ron Kimmel
On α Kernels, Levy Processes, and Natural Image Statistics - Kim Steenstrup Pedersen, Remco Duits, Mads Nielsen
An Analysis of Variational Alignment of Curves in Images - Niels Chr. Overgaard, Jan Erik Solem
Enhancing Images Painted on Manifolds - Alon Spira, Ron Kimmel
A Two-Step Area Based Method for Automatic Tight Segmentation of Zona Pellucida in HMC Images of Human Embryos - Adam Karlsson, Niels Chr. Overgaard, Anders Heyden
Relations Between Higher Order TV Regularization and Support Vector Regression - G. Steidl, S. Didas, J. Neumann
Perfusion Analysis of Nonlinear Liver Ultrasound Images Based on Nonlinear Matrix Diffusion - A. Kissi, S. Cormier, L. Pourcelot, A. Bleuzen, F. Tranquart
Stabilised Nonlinear Inverse Diffusion for Approximating Hyperbolic PDEs - Michael Breuß, Thomas Brox, Thomas Sonar, Joachim Weickert
Sparse Finite Element Level-Sets for Anisotropic Boundary Detection in 3D Images - Martin Weber, Andrew Blake, Roberto Cipolla
A Scale Space Method for Volume Preserving Image Registration - Eldad Haber, Jan Modersitzki
Piecewise Constant Level Set Methods and Image Segmentation - Johan Lie, Marius Lysaker, Xue-Cheng Tai
PDE-Based Deconvolution with Forward-Backward Diffusivities and Diffusion Tensors - Martin Welk, David Theis, Thomas Brox, Joachim Weickert
Denoising of Audio Data by Nonlinear Diffusion - Martin Welk, Achim Bergmeister, Joachim Weickert
A Four-Pixel Scheme for Singular Differential Equations - Martin Welk, Joachim Weickert, Gabriele Steidl
Isometric Embedding of Facial Surfaces into S3 - Alexander M. Bronstein, Michael M. Bronstein, Ron Kimmel
Author Index