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On Variational Problems and Gradient Flows in Image Processing  (Make Corrections)  
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Abstract: Contents 1 Introduction 1.1 An overview on registration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.1.1 Registration problems in variational form . . . . . . . . . . . . . . . . . . 10 1.1.2 Image analysis and similarity . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.1.3 Image registration in clinical routine . . . . . . . . . . . . . . . . . . . . . 12 1.1.4 Requirements on the deformation . . . . . . . . . . . . . . . . . . . . . . . 13 1.1.5 Morphing . . . . .... (Update)

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@misc{ der-variational,
  author = "Der Fakultt Der",
  title = "On Variational Problems and Gradient Flows in Image Processing",
  url = "citeseer.ist.psu.edu/764153.html" }
Citations (may not include all citations):
1386   Snakes: Active contour models (context) - Kass, Witkin et al. - 1988
755   Determining optical flow (context) - Horn, Schunk - 1981
689   The finite element method for elliptic problems (context) - Ciarlet - 1978
567   Fronts propagating with curvature dependent speed: Algorithm.. - Osher, Sethian - 1988
540   Scale space and edge detection using anisotropic diffusion (context) - Perona, Malik - 1987
453   Marching cubes: A high resolution 3d surface construction al.. (context) - Cline, Lorensen - 1987
408   Multigrid Methods and Applications (context) - Hackbusch - 1985
326   Geodesic active contours - Caselles, Kimmel et al. - 1997
319   Elliptic partial differential equations of second order (context) - Gilbarg, Trudinger - 1992
302   Nonlinear total variation based noise-removal (context) - Rudin, Osher et al. - 1992
272   Alignment by maximization of mutual information - Viola, Wells - 1997
272   Alignment by maximization of mutual information - Viola - 1995
259   Theory of communication (context) - Gabor - 1946
225   Shape modeling with front propagation: A level set approach - Malladi, Sethian et al. - 1995
209   Optimal approximation by piecewise smooth functions and asso.. (context) - Mumford, Shah - 1989
205   Biological Cybernetics (context) - Koenderink, of - 1984
205   Axioms and fundamental equations of image processing (context) - Alvarez, Guichard et al. - 1993
180   Random Sets and Integral Geometry (context) - Matheron - 1975
160   Measure Theory and Fine Properties of Functions (context) - Evans, Gariepy - 1992
141   Motion of level sets by mean curvature (context) - Evans, Spruck - 1991
129   Regularization of Inverse Problems (context) - Engl, Hanke et al. - 2000
125   Multi-modal volume registration by maximization of mutual in.. - Wells, Viola et al. - 1996
114   Level Set Methods: Evolving Interfaces in Geometry (context) - Sethian - 1996
105   An investigation of smoothness constraints for the estimatio.. (context) - Nagel, Enkelmann - 1986
101   Anisotropic diffusion in image processing - Weickert - 1998
91   A variational level set approach to multiphase motion - Zhao, Chan et al. - 1996
89   A geometric model for active contours in image processing (context) - Caselles, Catt et al. - 1993
85   Deformable templates using large deformation kinematics (context) - Christensen, Rabbitt et al. - 1996
85   Deformable templates using large deformation kinematics (context) - Christensen, Rabbitt et al. - 1996
78   Riemannian Geometry (context) - Carmo - 1992
74   Level Set Methods and Dynamic Implicit Surfaces (context) - Osher, Fedkiw - 2002
67   Active contours without edges - Chan, Vese - 2001
66   Image selective smoothing and edge detection by nonlinear di.. (context) - Catt, Lions et al. - 1992
66   Direct Methods in the Calculus of Variations (context) - Dacorogna - 1989
62   Multiple Integrals in the Calculus of Variations (context) - Morrey - 1966
62   Image inpainting - Bertalmio, Sapiro et al. - 2000
55   Total variation based image restoration with free local cons.. (context) - Rudin, Osher - 1994
52   Volumetric transformations of brain anatomy - Christensen, Joshi et al. - 1997
46   Geometric Partial Differential Equations and Image Analysis (context) - Sapiro - 2001
42   Approximation of functionals depending on jumps by elliptic .. (context) - Ambrosio, Tortorelli - 1990
42   Level lines based disocclusion - Masnou, Morel - 1998
40   Convexity conditions and existence theorems in nonlinear ela.. (context) - Ball - 1977
38   Image registration based on boundary mapping - Davatzikos, Bryan et al. - 1996
38   An algorithm for evolutionary surfaces (context) - Dziuk - 1991
38   Image matching as a diffusion process: An analogy with maxwe.. (context) - Thirion - 1998
37   An active contour model without edges - Chan, Vese - 1999
36   Computational anatomy: An emerging discipline (context) - Grenander, Miller - 1998
35   Filling-in by joint interpolation of vector fields and grey .. - Ballester, Bertalmio et al. - 2001
33   Functions of bounded variation and free discontinuity proble.. (context) - Ambrosio, Fusco et al. - 2000
31   Euler's elastica and curvature-based inpainting - Chan, Kang et al. - 2002
29   Three-Dimensional Elasticity (context) - Ciarlet - 1988
28   A survey of image registration techniques - Brown - 1992
26   A scale--space approach to nonlocal optical flow calculation.. - Alvarez, Weickert et al. - 1999
26   Variational restoration of non-flat image features: models a.. - Chan, Shen - 2001
26   Reconciling distance functions and level sets - Gomes, Faugeras - 1999
26   Dense disparity map estimation respecting image discontinuit.. - Alvarez, Snchez et al. - 2000
25   Hierarchical and adaptive visualization on nested grids - Ohlberger, Rumpf - 1997
25   Oscillating Patterns in Image Processing and Nonlinear Evolu.. (context) - Meyer - 2001
25   Mathematical Elasticity (context) - Ciarlet - 1987
24   Geometric Level Set Methods in Imaging (context) - Osher, Paragios - 2003
24   Algebraic geometry and its applications (context) - Mumford, computer - 1994
24   Optical--flow estimation while preserving its discontinuitie.. - Deriche, Kornobst et al. - 1995
23   A theoretical framework for convex regularizers in pdebased .. - Weickert, Schnoer - 2000
23   Nonlinear shape statistics in mumford-shah based segmentatio.. - Cremers, Kohlberger et al. - 2002
22   A level set algorithm for minimizing the Mumford-Shah functi.. - Chan, Vese - 2000
22   An Introduction to the Mathematical Theory of Inverse Proble.. (context) - Kirsch - 1996
21   Lineare Funktionalanalysis (context) - Alt - 1999
20   the approximation of free discontinuity problems (context) - Ambrosio, Tortorelli - 1992
20   Geometric surface smoothing via anisotropic diffusion of nor.. - Tasdizen, Whitaker et al. - 2002
18   A coarsening finite element strategy in image selective smoo.. (context) - Bnsch, Mikula - 1997
16   Curve evolution implementation of the Mumford-Shah functiona.. (context) - Tsai, Yezzi et al. - 2001
15   Riemannian Geometry (context) - Willmore - 1993
14   Nonlinear anisotropic diffusion in surface processing (context) - Clarenz, Diewald et al. - 2000
14   Towards fast non--rigid registration - Clarenz, Droske et al. - 2002
14   A variational method in image segmentation: existence and ap.. (context) - Maso, Morel et al. - 1996
14   Digital inpainting based on the Mumford-Shah-Euler image mod.. - Esedoglu, Jianhong - 2002
14   An introduction to #-convergence (context) - Maso - 1993
13   Image segmentation using level sets and the piecewise consta.. - Chan, Vese - 2000
13   Snakes in movement (context) - Caselles, Coll - 1996
13   Landmark matching via large deformation diffeomorphisms (context) - Joshi, Miller - 2000
12   Linking anisotropic sharp and diffuse surface motion laws vi.. (context) - Taylor, Cahn - 1994
12   Motion of a set by the curvature of its boundary (context) - Soner - 1993
12   Riemannian Geometry and Geometric Analysis (context) - Jost - 1998
11   A fully discrete numerical scheme for weighted mean curvatur.. - Deckelnick, Dziuk - 2002
11   Multi--modal volume registration by maximization of mutual i.. (context) - Maes, Collignon et al. - 1997
11   Approximation of Free Discontinuity Problems (context) - Braides - 1998
10   Discrete anisotropic curvature flow of graphs (context) - Deckelnick, Dziuk - 1999
10   Relations between regularization and diffusion filtering - Scherzer, Weickert - 2000
10   Variational problems on flows of diffeomorphisms for image m.. - Dupuis, Grenander et al. - 1998
10   Adaptive projection operators in multiresolutional scientifi.. - Ohlberger, Rumpf - 1998
10   A framework for the construction of level set methods for sh.. - Burger - 2003
9   Non-texture inpainting by curvature-driven diffusions - Chan, Shen - 2001
9   Diffusion snakes: Introducing statistical shape knowledge in.. - Cremers, Tischhuser et al. - 2002
9   An adaptive level set method for medical image segmentation - Droske, Meyer et al. - 2001
9   Meaningful alignments - Desolneux, Moisan et al. - 2000
9   A variational framework for joint segmentation and registrat.. (context) - Kapur, Yezzi et al. - 2001
8   Iterative multigrid regularization techniques for image matc.. (context) - Henn, Witsch - 2001
8   Existence theorem for a minimum problem with free discontinu.. (context) - De Giorgi, Carriero et al. - 1989
8   A representation theory for morphological image and signal p.. (context) - Maragos - 1989
7   A PDE model for computing the optical flow (context) - Alvarez, Esclarin et al. - 1999
7   Global invertibility of Sobolev functions and the interpenet.. (context) - Ball - 1988
7   Error indicators for multilevel visualization and computing .. - Gerstner, Rumpf et al. - 2000
7   Composite finite elements for the approximation of pdes on d.. (context) - Hackbusch, Sauter - 1997
7   Robust feature detection and local classification for surfac.. - Clarenz, Rumpf et al. - 2004
7   Differential morphology and image processing (context) - Maragos - 1996
7   Gradient flow for the Willmore functional (context) - Kuwert, Schtzle - 2002
7   the role of the bv image model in image restoration - Chan, Shen
7   Oxford Lecture Series in Mathematics and Its Applications (context) - Braides, beginners - 2002
7   A variational approach to non-rigid morphological registrati.. - Droske, Rumpf - 2004
7   A direct variational approach to a problem arising in image .. (context) - Ambrosio, Masnou - 2003
6   Image segmentation with a Finite Element method (context) - Bourdin - 1999
6   Incorporating topological derivatives into level set methods - Burger, Hackl et al. - 2004
5   and image and video inpainting (context) - Bertalmio, Bertozzi et al. - 2001
5   Convergence of a finite element method for non-parametric me.. (context) - Deckelnick, Dziuk - 1995
5   Fair Triangle Mesh Generation with Discrete Elastica (context) - Yoshizawa, Belyaev - 2002
5   A multilevel segmentation method - Droske, Preusser et al. - 2000
5   A multigrid approach for minimizing a nonlinear functional f.. - Henn, Witsch - 2000
5   Relations between optimization and gradient flow methods wit.. (context) - Clarenz, Henn et al. - 2002
5   A second order shape optimization approach for image segment.. (context) - Hintermller, Ring - 2003
5   A finite element method for surface restoration with smooth .. - Clarenz, Diewald et al. - 2004
4   Nonlinear diffusion in graphics hardware - Rumpf, Strzodka - 2001
4   Advances in differential morphology: Image segmentation via .. (context) - Maragos, Butt - 1998
4   Finite element methods for surface diffusion (context) - Bnsch, Morin et al. - 2003
4   Variational methods for microstructural evolution - Taylor, Cahn et al. - 1998
4   Numerical approximation of mean curvature flow of graphs and.. (context) - Deckelnick, Dziuk - 2000
4   Enhancement of planar shape through optimization of function.. (context) - Pauwels, Fiddelaers et al. - 1995
4   The Willmore flow with small initial energy (context) - Kuwert, Schtzle - 2001
4   Galerkin - Finite Element Methods for Parabolic Problems (context) - Thome - 1984
4   Removability of Point Singularities of Willmore Surfaces (context) - Kuwert, Schtzle - 2002
4   Finite element methods for surface diffusion (context) - Bnsch, Morin et al. - 2002
4   A level set method for anisotropic geometric diffusion in 3d.. (context) - Preuer, Rumpf - 2001
4   A level set formulation for willmore flow - Droske, Rumpf - 2004
4   Analysis of optical flow models in the framework of calculus.. - Hinterberger, Scherzer et al. - 2001
4   Levenberg-Marquardt level set methods for inverse obstacle p.. - Burger - 2004
3   On discontinuity--preserving optic flow - Weickert - 1998
3   Extracting motion velocities from 3D image sequences (context) - Preusser, Rumpf - 2003
3   Variational approximation of a second order free discontinui.. (context) - Ambrosio, Faina et al. - 2001
3   The Willmore Flow near spheres - Simonett - 2001
3   Error analysis of a semidiscrete numerical scheme for diffus.. (context) - Deckelnick, Dziuk et al. - 2002
3   gpu-based level sets for 3d brain tumor segmentation (context) - Lefohn, Cates et al. - 2003
3   Inpainting surface holes - Verdera, Caselles et al. - 1905
3   An inexact newton-cg-type active contour approach for the mi.. (context) - Hintermller, Ring - 2004
3   Error estimates for a semi implicit fully discrete finite el.. (context) - Deckelnick, Dziuk - 2000
3   Zur Frage der Geschwindigkeit des Wachsthums und der Auflsun.. (context) - Wulff - 1901
3   Surface diffusion of graphs: Variational formulation (context) - Bnsch, Morin et al. - 2002
3   Decomposition of images by the anisotropic Rudin-OsherFatemi.. - Esedoglu, Osher - 2004
3   Discrete approximation of a free discontinuity problem (context) - Belletini, Coscia - 1994
3   Curvature based image registration (context) - Modersitzki, Fischer - 2003
3   Implementation of a Finite-Element approximation of the Mumf.. (context) - Bourdin, Chambolle - 2000
3   An approximation result for the minimizers of the Mumford-Sh.. (context) - Dibos - 1997
3   Finite-Element discretization of static Hamilton-Jacobi equa.. (context) - Bornemann, Rasch - 2004
3   Semi-implicit level set methods for curvature and surface di.. (context) - Smereka - 2003
3   Disocclusion by joint interpolation of vector fields and gra.. - Ballester, Caselles et al.
3   The fast construction of extension velocities in level set m.. (context) - Sethian, Adalsteinsson - 1999
2   Image registration via level-set motion: Applications to atl.. (context) - Vemuri, Ye et al. - 2003
2   Topographics maps and local contrast invariance in natural i.. (context) - Caselles, Coll et al. - 1999
2   Image segmentation by variatonal methods: Mumford-Shah funct.. (context) - Chambolle - 1995
2   An algorithm for mean curvature motion (context) - Chambolle - 2003
2   Morphological image sequence processing - Mikula, Preusser et al. - 2003
2   the metrics and Euler-Lagrange equations of computational an.. (context) - Miller, Trouve et al. - 2002
2   Special Issue of Contemporary Mathematics (context) - Modersitzki, Fischer et al. - 2000
2   Contrast invariant registration of images - Monasse - 1999
2   Image registration by a regularized gradient flow - a stream.. - Droske, Rumpf et al. - 2004
2   the regularity of the edge set of Mumford-Shah minimizers (context) - Bonnet - 1996
2   texture and multi-scale image segmentation (context) - Sapiro, self et al. - 1996
2   An adaptive level set method for interactive segmentation of.. (context) - Droske, Meyer et al. - 2005
2   A regularizing levenberg-marquardt scheme (context) - Hanke
2   Geometric Curve Evolution and Image Processing - Cao - 2003
2   A Levenberg-Marquardt scheme for nonlinear image registratio.. (context) - Henn - 2003
2   Transformations by functions in sobolev spaces and lower sem.. (context) - Marcus, Mizel - 1973
2   Partial differential equations and the calculus of variation.. (context) - Aubert, Kornprobst et al. - 2002
1   the matching of images with discontinuities (context) - Rumpf - 2005
1   Introduction to shape optimization (context) - Sokol, J-P - 1992
1   Mathematics of Microstructure Evolution (context) - Taylor, motion - 1996
1   Une mthode geometrique de fusion des images p+xs (context) - Ballester, Caselles et al. - 2003
1   A variational formulation based edge focussing algorithm (context) - Richardson, Mitter - 1997
1   Computational methods for nonlinear image registration (context) - Clarenz, Droske et al. - 2005
1   Neuroradiological aspects in computerized simulation and ind.. (context) - Berlis, Schaller et al. - 1999
1   The wulff-shape minimizes an anisotropic willmore functional (context) - Clarenz - 2004
1   Finite element method for epitaxial growth with attachment-d.. (context) - Bnsch, Hauer et al. - 2004
1   Non-linear image registration on PC-clusters using parallel .. - Boehme, Hagenau et al. - 2002
1   Stze ber Extremalen zu parametrischen Funktionalen (context) - Clarenz - 1999
1   uber Extremalen zu parametrischen Funktionalen. Dissertation.. (context) - Clarenz, atze - 1999
1   Injectivity and adjoint extremals (context) - Clarenz - 1999
1   Injectivity and self-contact in nonlinear elasticity (context) - Ciarlet, cas - 1987
1   Schnelle Lser fr elliptische Randwertprobleme mit springende.. (context) - Warnke - 2003
1   Les Mthodes Directes en Thorie des Equations Elliptiques (context) - cas - 1967
1   Variational models in image segmentation (context) - Morel, Solimini - 1994
1   Calculus of Variations and Partial Differential Equations (context) - Ambrosio, problems et al. - 2000
1   homeomorphisms and matching: a general framework (context) - Miller, Younes - 1999
1   Fully discrete simi-implicit second order splitting for anis.. (context) - Deckelnick, Dziuk et al. - 2003
1   Differential Calculus and Optimization (context) - Delfour, Zolsio et al. - 2001
1   Mean curvature flow and related topics (context) - Dziuk, Deckelnick - 2002
1   Oriented distance function and its evolution equation for in.. (context) - Delfour, Zolsio - 2004
1   Error estimates for the Willmore flow of graphs (context) - Deckelnick, Dziuk - 2004
1   Isoperimetric inequalities involving generalized mean curvat.. (context) - Winklmann - 2002
1   Analysis of gradient flow of a regularized Mumford-Shah func.. (context) - Feng, Prohl - 1999
1   Enclosure theorems for generalized mean curvature flows (context) - Winklmann - 2003
1   chapter Large Deformation Fluid Diffeomorphisms for Landmark.. (context) - Miller, Joshi et al. - 1999
1   A level set based finite element algorithm for the simulatio.. (context) - Fried - 2001

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