PUBLICATIONS OF MARTIN BURGER
2013
Higher-Order TV Methods - Enhancement via Bregman Iteration 
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| Journal of Scientific Computing Springer pages 269-310 vol. 54 num. 2-3 - february 2013 issn: 0885-7474 doi: 10.1007/s10915-012-9650-3 |
2012
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Individual-based and mean-field models for direct aggregation
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| arxiv num. 1112.1055 - 2012 |
| The iteratively regularized Gauss-Newton method with convex constraints and applications in 4pi-microscopy | |
| Inverse Problems pages 015012 vol. 28 - 2012 |
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Impact of Physical Noise Modeling on Image Segmentation in Echocardiography
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| Proceedings of the 3rd Eurographics Workshop on Visual Computing for Biology and Medicine (VCBM) 2012 (Eds.) T. Ropinski, A. Ynnerman, C. Botha, and J. Roerdink - 2012 |
| Regularized regression and density estimation based on optimal transport | |
| Applied Mathematics Research Express - 2012 |
| Nonlinear Poisson-Nernst-Planck equations for ion flux through confined geometries | |
| Nonlinearity - 2012 |
| Motion correction in dual gated cardiac PET using mass preserving image registration | |
| IEEE Transactions on Medical Imaging - 2012 |
| Hierarchical Bayesian inference for the EEG inverse problem using realistic FE head models: Depth localization and source separation for focal primary currents | |
| NeuroImage Elsevier pages 1364--1382 vol. 61 num. 4 - april 2012 issn: 1053-8119 doi: 10.1016/j.neuroimage.2012.04.017 |
2011
| Identification of nonlinearities in transport-diffusion models of size exclusion | |
| WWU Muenster Preprint - 2011 |
| Stationary States of Quadratic Diffusion Equations with Long-Range Attraction | |
| UCLA num. 11-12 CAM Report - 2011 |
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Error Estimates for General Fidelities
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| Electronic Transactions on Numerical Analysis pages 44--68 vol. 38 - march 2011 |
| Hierarchical Bayesian Models for EEG Inversion: Depth Localization and Source Separation for Focal Sources in Realistic FE Head Models | |
| Biomedical Engineering De Gruyter vol. 56 - 2011 issn: 0939-4990 |
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Inverse problems in geographical economics: Parameter identification in the spatial Solow model
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| WWU Muenster - 2011 |
| A variational approach for sharpening high-dimensional images | |
| SIAM J. Imag. Sci. - 2011 |
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An Adaptive Inverse Scale Space Method for Compressed Sensing
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| UCLA num. 11-08 CAM Report - 2011 |
| Error Estimates and Numerics for Inexact Augmented Lagrangian Methods | |
| University of Muenster - august 2011 |
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Multiscale Methods for polyhedral regularizations
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| UCLA num. 11-74 CAM Report - 2011 |
| Continuous limit of a crowd motion and herding model: Analysis and numerical simulations | |
| WWU Muenster - 2011 |
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A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models
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| UCLA num. 11-81 CAM Report - december 2011 |
| Inverse problems in ion channel modelling | |
| WWU Muenster - 2011 |
| A hyperelastic regularization energy for image registration | |
| WWU Muenster Preprint - 2011 |
| In situ visualization of damaged DNA in human sperm by Raman microspectroscopy | |
| WWU Muenster - 2011 |
| Reconstruction of short time PET scans using Bregman iterations | |
| Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC), 2011 IEEE pages 2383--2385 - 2011 issn: 1082-3654 doi: 10.1109/NSSMIC.2011.6153884 |
| The Myocardium Functioning as a Structured Continuum | |
| University of Muenster - august 2011 |
2010
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Mathematical modeling and simulation of nanopore blocking by precipitation
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| WWU Muenster - 2010 |
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A Continuity Equation Based Optical Flow Method for Cardiac Motion Correction in 3D PET Data
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| University of Muenster, Proceedings of the MICCAI 2010 Medical Image Computing and Computer Assisted Intervention - 2010 |
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A Solver for Dynamic PET Reconstruction based on Forward-Backward Splitting
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| ICNAAM Conference Proceedings AIP Journal of Physics ICNAAM Conference Proceedings pages 1967-- 1970 AIP - september 2010 |
| Edge-Preserving Regularization for the Deconvolution of Biological Images in Nanoscopy | |
| Proceedings of the 8th International Conference of Numerical Analysis and Applied Mathematics 2010 AIP Conference Proceedings pages 1983-1986 vol. 1281 (Eds.) T.E. Simos, G. Psihoyios and Ch. Tsitouras - september 2010 doi: 10.1063/1.3498325 |
| 3D Large Scale Pneumographic Myocardial Structure Analysis - Advanced Denoising, Motion and Level-Set Techniques | |
| Universitaet Muenster, ETH Zuerich submitted to Bildverarbeitung fuer die Medizin, Luebeck, 2011 - october 2010 |
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Stability analysis of the inverse transmembrane potential problem in electrocardiography
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| WWU Muenster - 2010 |
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A Framework for Automated Cell Tracking in Phase Contrast Microscopic Videos based on Normal Velocities
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| WWU Muenster - 2010 |
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Nonlinear cross-diffusion with size exclusion
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| WWU M?nster - 2010 |
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Primal and Dual Bregman Methods with Application to Optical Nanoscopy
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| International Journal of Computer Vision Springer Netherlands pages 211-229 vol. 92 num. 2 - april 2010 issn: 0920-5691 (Print) 1573-1405 (Online) doi: 10.1007/s11263-010-0339-5 |
2009
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Total Variation Processing of Images with Poisson Statistics
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| Proceedings of the 13th International Conference on Computer Analysis of Images and Patterns Springer LNCS pages 533-540 vol. 5702 (Eds.) X. Jiang and N. Petkov - july 2009 doi: 10.1007/978-3-642-03767-2_65 |
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Error estimation for variational models with non-Gaussian noise
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| WWU Muenster - 2009 |
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Bregmanized nonlocal regularization for deconvolution and sparse reconstruction
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| UCLA CAM-Report num. 09-03 - 2009 |
| Handbook of Mathematical Methods in Imaging | |
| Springer, chap. Iterative Solution Methods, pages . - 2009 |
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Forward-Backward EM-TV methods for inverse problems with Poisson noise
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| - august 2009 |
| A unified primal-dual algorithm framework based on Bregman iteration | |
| UCLA CAM-Report num. 09-99 - 2009 |
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Bregman-EM-TV Methods with Application to Optical Nanoscopy
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| Proceedings of the 2nd International Conference on Scale Space and Variational Methods in Computer Vision Springer LNCS pages 235--246 vol. 5567 (Eds.) X.-C. Tai et al. - april 2009 doi: 10.1007/978-3-642-02256-2_20 |
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Cahn-Hilliard inpainting and a generalization for grayvalue image
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| SIAM J. Imag. Sci. vol. 3 - 2009 |
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Sensitivity of beamformer source analysis to deficiencies in forward modeling
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| WWU Muenster - 2009 |
| A model of oscillatory zoning in two dimensions: simulation and mode analysis | |
| WWU Muenster - 2009 |
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A mixed finite element method for nonlinear diffusion equations
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| WWU Muenster - 2009 |
| Parallel medical image reconstruction: From graphics processors to grids | |
| PACS 09 - 2009 |
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A level set based shape optimization method for an elliptic obstacle problem
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| WWU Muenster - 2009 |
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Iterative total variation schemes for nonlinear inverse problem
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| Inverse Problems vol. 25 - 2009 |
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Image inpainting using a fourth-order total variation flow
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| UCLA CAM-Report num. 09-34 - 2009 |
2008
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The Willmore functional and instabilities in the Cahn-Hilliard equation
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| Commun. Math. Sci. pages 309-329 vol. 6 - 2008 |
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Finite element based level set methods for higher order flows
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| J. Sci. Comp. pages 77-98 vol. 35 - 2008 |
| Shape from Defocus via Diffusion | |
| IEEE Transactions PAMI pages 518-531 vol. 30 - 2008 |
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Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions
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| Commun. Math. Sci. pages 1-28 vol. 6 - 2008 |
| On-/Off-State design of semiconductor doping profiles | |
| Commun. Math. Sci. pages 1021-1041 vol. 6 - 2008 |
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Large time behavior of nonlocal aggregation models with nonlinear diffusion
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| Networks and Heterogeneous Media pages 749-785 vol. 3 - 2008 |
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A Nonlinear Variational Method for Improved Quantification of Myocardial Blood Flow Using Dynamic H215O PET
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| 2008 IEEE Nuclear Science Symposium Conference Record - november 2008 |
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Finite element approximation of elliptic partial differential equations on implicit surfaces
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| Comp. Vis. Sci. to appear - 2008 |
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Discovering point sources in unknown environments
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| Proceedings of WAFR 2008 - 2008 |
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A note on sparse reconstruction methods
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| J. Phys. Conference Series pages 012002 - 2008 |
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A Globally Covergent Gummel Map for Optimal Dopant Profiling
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| Math. Models Meth. Appl. Sci. - 2008 |
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Accurate EM-TV Algorithm in PET with Low SNR
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| 2008 IEEE Nuclear Science Symposium Conference Record - november 2008 |
2007
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A level set approach to anisotropic flows with curvature regularization
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| J. Comp. Phys. pages 183-205 vol. 225 - 2007 |
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On some geometric inverse problems in linear elasticity
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| Math. Meth. Appl. Sci. pages 625-647 vol. 30 - 2007 |
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Error estimation for Bregman iterations and inverse scale space methods
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| Computing pages 109-135 vol. 81 - 2007 |
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Inverse problems related to ion channel selectivity
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| SIAM J. Appl. Math. pages 960-989 vol. 67 - 2007 |
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Inverse total variation flow
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| SIAM Multiscale Mod. Simul. pages 366-395. vol. 6 - 2007 |
2006
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Iterative total variation regularization with non-quadratic fidelity
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| J. Math. Imaging Vision pages 167-184 vol. 26 - 2006 |
| Cartoon extraction based on anisotropic image classification | |
| Vision, Modeling, and Visualization Proceedings pages 293-300 - 2006 |
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On an aggregation model with long and short range interactions
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| Nonlinear Analysis: Real World Applications pages 939-958 vol. 8 - 2006 |
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Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems
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| SIAM J. Numer. Anal. pages 153-182 vol. 44 - 2006 |
| A one-shot approach to topology optimization with stress constraints | |
| IUTAM Symposium on Topological Design Optimization of Structures, Machines, and Materials Springer M.P.Bendsoe, N.Olhoff, O.Sigmund - 2006 |
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Mesoscale averaging of nucleation and growth processes
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| SIAM Multiscale Mod. Simul. pages 564 - 592 vol. 5 - 2006 |
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Surface diffusion including adatoms
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| Commun. Math. Sci. pages 1-51 vol. 4 - 2006 |
| An extension of the Avrami-Kolmogorov formula to inhomogeneous birth-and-growth processes | |
| Deterministic and Stochastic Modelling in Biomedicine, Economics, and Industry Springer G.Aletti et al - 2006 |
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The Keller-Segel model for chemotaxis: linear vs. nonlinear diffusion
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| SIAM J. Math. Anal. pages 1288-1315. vol. 38 - 2006 |
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Nonlinear inverse scale space methods
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| Commun. Math. Sci. pages 179-212 vol. 4 - 2006 |
| Optimization models for semiconductor dopant profiling | |
| Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems Birkhäuser, Boston pages 91-116 C.Cercignani, E.Gabetta - 2006 |
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Phase-field relaxation of topology optimization with local stress constraints,
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| SIAM J. Control. Optim. pages 1447-1466 vol. 45 - 2006 |
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Weak solutions of a polymer crystal growth model
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| CAM-Report 06-40, UCLA, Announcement in ERA-AMS 13 (2007) - 2006 |
2005
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A survey on level set methods for inverse problems and optimal design
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| European J. Appl. Math. pages 263-301 vol. 16 - 2005 |
| Nonlinear inverse scale space methods for image restoration | |
| Variational and Level Set Methods 2005 Springer, Berlin pages 26-35 N. Paragios et al - 2005 |
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Numerical simulation of anisotropic surface diffusion with curvature-dependent energy
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| J. Comp. Phys. pages 602-625 vol. 203 - 2005 |
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An iterative regularization method for total variation based image restoration
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| SIAM Multiscale Mod. Simul. pages 460-489 vol. 4 - 2005 |
| Inverse dopant profiling for highly doped semiconductor devices | |
| Proceedings of 5th MATHMOD, Vienna Electronic, ISBN 3-901608-30-3 F.Breitenecker, I.Troch - 2005 |
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Greedy algorithms for neural network training with data noise
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| Computing pages 1-22 vol. 74 - 2005 |
| Symbolic preprocessing of finite element methods for parameter-dependent geometric differential equations | |
| Proceedings of the Workshop on Symbolic-Numerical Computation SNC 05 - 2005 |
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Projected gradient flows for BV / level set relaxation
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| PAMM pages 11-14 vol. 5 - 2005 |
| A model hierarchy for surface diffusion: the small slope case | |
| Proceedings of 5th MATHMOD, Vienna Electronic, ISBN 3-901608-30-3 F.Breitenecker, I.Troch - 2005 |
2004
| Optimal control of polymer morphologies | |
| J. Eng. Math. pages 339-358 vol. 49 - 2004 |
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Convergence rates of convex variational regularization
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| Inverse Problems pages 1411-1421 vol. 20 - 2004 |
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Inverse problem techniques for the design of photonic crystals
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| IEICE Transactions on Electronics pages 258-265 vol. 87 C - 2004 |
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On inverse problems for semiconductor equations
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| Milan J. Math. pages 273-314 vol. 72 - 2004 |
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Growth of multiple crystals in polymer melts
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| European J. Appl. Math. pages 347-363. vol. 15 - 2004 |
| Scene and motion reconstruction from defocused and motion blurred images via anisotropic diffusion | |
| Computer Vision - ECCV 2004, Part I Springer, Berlin pages 257-269 T.Pajdla, J.Matas - 2004 |
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Levenberg-Marquardt level set methods for inverse obstacle problems
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| Inverse Problems pages 673-696 vol. 20 - 2004 |
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Incorporating topological derivatives into level set methods
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| J. Comp. Phys. pages 344-362 vol. 194 - 2004 |
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Level set methods for geometric inverse problems in linear elasticity
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| Inverse Problems pages 673-696 vol. 20 - 2004 |
2003
| Model reduction for semiconductor inverse dopant profiling | |
| Proceedings of the 4th IMACS Symposium on Mathematical Modelling Electronic, ISBN 3-901608-24-9 F.Breitenecker, I.Troch - 2003 |
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Fast optimal design of semiconductor devices
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| SIAM J. Appl. Math. pages 108-126 vol. 64 - 2003 |
| Growth and impingement in polymer melts | |
| Free Boundary Problems Birkh?user, Basel pages 65-74 P.Colli et al - 2003 |
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Numerical approximation of an SQP-type method for parameter identification
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| SIAM J. Numer. Anal. pages 1775 - 1797 vol. 40 - 2003 |
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A framework for the construction of level set methods for shape optimization and reconstruction
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| Interfaces and Free Boundaries pages 301-329 vol. 5 - 2003 |
2002
| Inverse doping problems for semiconductor devices | |
| Recent Progress in Computational and Applied PDEs Kluwer pages 27-38 T.F.Chan et al - 2002 |
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Analysis of Tikhonov regularization for function approximation by neural networks
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| Neural Networks pages 79-90 vol. 16 - 2002 |
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Modelling crystallization of polymers in temperature fields
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| ZAMM pages 51-63 vol. 82 - 2002 |
| Mathematical modelling of the crystallization process of polymers | |
| HERCMA 2001, Proceedings of the 5th Hellenic European Conference on Computer Mathematics and its Applications LEA, Athens pages 51-63 E.A.Lipitakis - 2002 |
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Iterative regularization of parameter identification problems by SQP methods
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| Inverse Problems pages 943-970 vol. 18 - 2002 |
| Tuning of fuzzy systems as an ill-posed problem | |
| Progress in Industrial Mathematics at ECMI 2000 Springer, Berlin pages 493-498 M.Anile, V.Capasso, A.Greco - 2002 |
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Modelling multi-dimensional crystallization of polymers in interaction with heat transfer
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| Nonlinear Analysis: Real World Applications pages 139-160 vol. 3 - 2002 |
| Mathematical models for polymer crystallization processes | |
| Mathematical modelling for polymer industry Springer pages 167-242 V.Capasso - 2002 |
| Data-Driven construction of Sugeno controllers: analytical aspects and new numerical methods | |
| Proceedings of the joint 9th IFSA World Congress and 20th NAFIPS Int. Conf. ISBN 0-7803-7079-1 pages 239-244 - 2002 |
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Regularized data-driven construction of fuzzy controllers
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| J. Inverse Ill-Posed Problems pages 319-344 vol. 10 - 2002 |
2001
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Stochastic and deterministic simulation of nonisothermal crystallization of polymers
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| J. Math. Chem. pages 169-193 vol. 30 - 2001 |
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Error bounds for approximation with neural networks
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| J. Approx. Theory pages 235-250 vol. 112 - 2001 |
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Mathematical modelling and simulation of non-isothermal crystallization of polymers
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| Math. Models and Methods in Appl. Sciences pages 1029-1054 vol. 11 - 2001 |
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A level set method for inverse problems
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| Inverse Problems pages 1327-1356 vol. 17 - 2001 |
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Iterative regularization of a parameter identification problem occurring in polymer crystallization
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| SIAM J. Numer. Anal. pages 1029-1054 vol. 39 - 2001 |
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Identification of doping profiles in semiconductor device
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| Inverse Problems pages 1765-1795 vol. 17 - 2001 |
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Regularization methods for blind deconvolution and blind source separation problems
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| Mathematics of Control, Signals and Systems pages 358-383. vol. 14 - 2001 |
2000
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Training neural networks with noisy data as an ill-posed problem
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| Adv. Comp. Math pages 335-354. vol. 13 - 2000 |
1999
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Inverse problems related to crystallization of polymers
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| Inverse Problems pages 155-173 vol. 15 - 1999 |
| Modelling and parameter-identification in non-isothermal crystallization of polymers | |
| Progress in Industrial Mathematics at ECMI 98 Teubner, Stuttgart pages 114-121 L.Arkeryd, J.Bergh, P.Brenner, R.Pettersson - 1999 |
