All Stories

  1. Towards dynamic PET reconstruction under flow conditions: Parameter identification in a PDE model

    Article • Journal of Inverse and Ill-Posed Problems, January 2017, De Gruyter

    Professor Martin Burger

  2. Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems

    Article • Inverse Problems, July 2015, Institute of Physics Publishing

    Professor Martin Burger

  3. Mathematical methods in biomedical imaging

    Article • GAMM-Mitteilungen, November 2014, Wiley

    Professor Martin Burger

  4. Maximuma posterioriestimates in linear inverse problems with log-concave priors are proper Bayes estimators

    Article • Inverse Problems, October 2014, Institute of Physics Publishing

    Professor Martin Burger

  5. Partial differential equation models in the socio-economic sciences

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, October 2014, Royal Society Publishing

    Professor Martin Burger

  6. Mean field games with nonlinear mobilities in pedestrian dynamics

    Article • Discrete and Continuous Dynamical Systems - B, April 2014, American Institute of Mathematical Sciences (AIMS)

    Professor Martin Burger

  7. Stationary States and Asymptotic Behavior of Aggregation Models with Nonlinear Local Repulsion

    Article • SIAM Journal on Applied Dynamical Systems, March 2014, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  8. Color Bregman TV

    Article • SIAM Journal on Imaging Sciences, January 2014, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  9. Registration of Noisy Images via Maximum A-Posteriori Estimation

    Article • January 2014, Springer Science + Business Media

    Professor Martin Burger

  10. On the asymptotic behavior of a Boltzmann-type price formation model

    Article • Communications in Mathematical Sciences, January 2014, International Press of Boston

    Professor Martin Burger

  11. Optimal Control of Self-Consistent Classical and Quantum Particle Systems

    Article • January 2014, Springer Science + Business Media

    Professor Martin Burger

  12. On a mean field game optimal control approach modeling fast exit scenarios in human crowds

    Article • December 2013, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Martin Burger

  13. Identification of nonlinearities in transport-diffusion models of crowded motion

    Article • Inverse Problems and Imaging, November 2013, American Institute of Mathematical Sciences (AIMS)

    Professor Martin Burger

  14. Individual based and mean-field modeling of direct aggregation

    Article • Physica D Nonlinear Phenomena, October 2013, Elsevier

    Professor Martin Burger

  15. Inverse problems in imaging

    Article • August 2013, De Gruyter

    Professor Martin Burger

  16. Multiscale Methods for Polyhedral Regularizations

    Article • SIAM Journal on Optimization, July 2013, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  17. A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models

    Article • Journal of Mathematical Imaging and Vision, February 2013, Springer Science + Business Media

    Professor Martin Burger

  18. Convergence rates in ℓ 1 -regularization if the sparsity assumption fails

    Article • Inverse Problems, January 2013, Institute of Physics Publishing

    Professor Martin Burger

  19. Ground states and singular vectors of convex variational regularization methods

    Article • Methods and Applications of Analysis, January 2013, International Press of Boston

    Professor Martin Burger

  20. Level Set and PDE Based Reconstruction Methods in Imaging

    Article • January 2013

    Professor Martin Burger

  21. Stationary states of quadratic diffusion equations with long-range attraction

    Article • Communications in Mathematical Sciences, January 2013, International Press of Boston

    Professor Martin Burger

  22. A Guide to the TV Zoo

    Article • January 2013, Springer Science + Business Media

    Professor Martin Burger

  23. A Hyperelastic Regularization Energy for Image Registration

    Article • SIAM Journal on Scientific Computing, January 2013, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  24. EM-TV Methods for Inverse Problems with Poisson Noise

    Article • January 2013, Springer Science + Business Media

    Professor Martin Burger

  25. Optimal dopant doping profiling with TV penalty

    Article • PAMM, December 2012, Wiley

    Professor Martin Burger

  26. Dynamic PET Reconstruction based on a Reaction-Diffusion Model

    Article • PAMM, December 2012, Wiley

    Professor Martin Burger

  27. Higher-Order TV Methods—Enhancement via Bregman Iteration

    Article • Journal of Scientific Computing, October 2012, Springer Science + Business Media

    Professor Martin Burger

  28. Pipeline for motion correction in dual gated PET

    Article • October 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Martin Burger

  29. Atlas-based segmentation using passive contours

    Article • October 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Martin Burger

  30. An adaptive inverse scale space method for compressed sensing

    Article • Mathematics of Computation, June 2012, American Mathematical Society (AMS)

    Professor Martin Burger

  31. A Variational Approach for Sharpening High Dimensional Images

    Article • SIAM Journal on Imaging Sciences, January 2012, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  32. A Simplified Pipeline for Motion Correction in Dual Gated Cardiac PET

    Article • January 2012, Springer Science + Business Media

    Professor Martin Burger

  33. The iteratively regularized Gauss–Newton method with convex constraints and applications in 4Pi microscopy

    Article • Inverse Problems, December 2011, Institute of Physics Publishing

    Professor Martin Burger

  34. Continuous limit of a crowd motion and herding model: Analysis and numerical simulations

    Article • Kinetic and Related Models, November 2011, American Institute of Mathematical Sciences (AIMS)

    Professor Martin Burger

  35. Sparse recovery in myocardial blood flow quantification via PET

    Article • October 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Martin Burger

  36. Reconstruction of short time PET scans using Bregman iterations

    Article • October 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Martin Burger

  37. Mass-preserving motion correction of PET: Displacement field vs. spline transformation

    Article • October 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Martin Burger

  38. Mass-preserving motion correction of dual gated cardiac PET

    Article • October 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Martin Burger

  39. Inverse problems in ion channel modelling

    Article • Inverse Problems, July 2011, Institute of Physics Publishing

    Professor Martin Burger

  40. A LEVEL SET BASED SHAPE OPTIMIZATION METHOD FOR AN ELLIPTIC OBSTACLE PROBLEM

    Article • Mathematical Models and Methods in Applied Sciences, April 2011, World Scientific Pub Co Pte Lt

    Professor Martin Burger

  41. Iterative Solution Methods

    Article • January 2011, Springer Science + Business Media

    Professor Martin Burger

  42. Stability analysis of the inverse transmembrane potential problem in electrocardiography

    Article • Inverse Problems, September 2010, Institute of Physics Publishing

    Professor Martin Burger

  43. A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration

    Article • Journal of Scientific Computing, August 2010, Springer Science + Business Media

    Professor Martin Burger

  44. Sensitivity of beamformer source analysis to deficiencies in forward modeling

    Article • Human Brain Mapping, May 2010, Wiley

    Professor Martin Burger

  45. Model of oscillatory zoning in two dimensions: Simulation and mode analysis

    Article • Physical Review E, May 2010, American Physical Society (APS)

    Professor Martin Burger

  46. Primal and Dual Bregman Methods with Application to Optical Nanoscopy

    Article • International Journal of Computer Vision, April 2010, Springer Science + Business Media

    Professor Martin Burger

  47. Parallel medical image reconstruction: from graphics processing units (GPU) to Grids

    Article • The Journal of Supercomputing, March 2010, Springer Science + Business Media

    Professor Martin Burger

  48. Mathematics and Algorithms in Tomography

    Article • Oberwolfach Reports, January 2010, European Mathematical Publishing House

    Professor Martin Burger

  49. A Solver for Dynamic PET Reconstructions based on Forward-Backward-Splitting

    Article • January 2010, American Institute of Physics

    Professor Martin Burger

  50. A mixed finite element method for nonlinear diffusion equations

    Article • Kinetic and Related Models, January 2010, American Institute of Mathematical Sciences (AIMS)

    Professor Martin Burger

  51. Edge-Preserving Regularization for the Deconvolution of Biological Images in Nanoscopy

    Article • January 2010, American Institute of Physics

    Professor Martin Burger

  52. Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction

    Article • SIAM Journal on Imaging Sciences, January 2010, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  53. Nonlinear Cross-Diffusion with Size Exclusion

    Article • SIAM Journal on Mathematical Analysis, January 2010, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  54. Iterative total variation schemes for nonlinear inverse problems

    Article • Inverse Problems, September 2009, Institute of Physics Publishing

    Professor Martin Burger

  55. A GLOBALLY CONVERGENT GUMMEL MAP FOR OPTIMAL DOPANT PROFILING

    Article • Mathematical Models and Methods in Applied Sciences, May 2009, World Scientific Pub Co Pte Lt

    Professor Martin Burger

  56. Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images

    Article • SIAM Journal on Imaging Sciences, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  57. Bregman-EM-TV Methods with Application to Optical Nanoscopy

    Article • January 2009, Springer Science + Business Media

    Professor Martin Burger

  58. Discovering a Point Source in Unknown Environments

    Article • January 2009, Springer Science + Business Media

    Professor Martin Burger

  59. Total Variation Processing of Images with Poisson Statistics

    Article • January 2009, Springer Science + Business Media

    Professor Martin Burger

  60. Parallel Medical Image Reconstruction: From Graphics Processors to Grids

    Article • January 2009, Springer Science + Business Media

    Professor Martin Burger

  61. Large time behavior of nonlocal aggregation models with nonlinear diffusion

    Article • Networks & Heterogeneous Media, October 2008, American Institute of Mathematical Sciences (AIMS)

    Professor Martin Burger

  62. A nonlinear variational method for improved quantification of myocardial blood flow using dynamic H215O PET

    Article • October 2008, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Martin Burger

  63. Accurate EM-TV algorithm in PET with low SNR

    Article • October 2008, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Martin Burger

  64. Finite Element-Based Level Set Methods for Higher Order Flows

    Article • Journal of Scientific Computing, June 2008, Springer Science + Business Media

    Professor Martin Burger

  65. Finite element approximation of elliptic partial differential equations on implicit surfaces

    Article • Computing and Visualization in Science, January 2008, Springer Science + Business Media

    Professor Martin Burger

  66. Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions

    Article • Communications in Mathematical Sciences, January 2008, International Press of Boston

    Professor Martin Burger

  67. Inverse problems related to ion channels

    Article • PAMM, December 2007, Wiley

    Professor Martin Burger

  68. Cahn-Hilliard inpainting and the Willmore functional

    Article • PAMM, December 2007, Wiley

    Professor Martin Burger

  69. A generalization of Cahn-Hilliard inpainting for grayvalue images

    Article • PAMM, December 2007, Wiley

    Professor Martin Burger

  70. A level set approach to anisotropic flows with curvature regularization

    Article • Journal of Computational Physics, July 2007, Elsevier

    Professor Martin Burger

  71. On an aggregation model with long and short range interactions

    Article • Nonlinear Analysis Real World Applications, July 2007, Elsevier

    Professor Martin Burger

  72. Math Everywhere

    Article • January 2007, Springer Science + Business Media

    Professor Martin Burger

  73. Cavity identification in linear elasticity and thermoelasticity

    Article • Mathematical Methods in the Applied Sciences, January 2007, Wiley

    Professor Martin Burger

  74. Inverse Problems Related to Ion Channel Selectivity

    Article • SIAM Journal on Applied Mathematics, January 2007, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  75. Iterative Total Variation Regularization with Non-Quadratic Fidelity

    Article • Journal of Mathematical Imaging and Vision, September 2006, Springer Science + Business Media

    Professor Martin Burger

  76. Surface diffusion including adatoms

    Article • Communications in Mathematical Sciences, January 2006, International Press of Boston

    Professor Martin Burger

  77. Mini-Workshop: Anisotropic Motion Laws

    Article • Oberwolfach Reports, January 2006, European Mathematical Publishing House

    Professor Martin Burger

  78. Mesoscale Averaging of Nucleation and Growth Models

    Article • Multiscale Modeling and Simulation, January 2006, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  79. Nonlinear inverse scale space methods

    Article • Communications in Mathematical Sciences, January 2006, International Press of Boston

    Professor Martin Burger

  80. The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion

    Article • SIAM Journal on Mathematical Analysis, January 2006, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  81. Regularizing Newton--Kaczmarz Methods for Nonlinear Ill-Posed Problems

    Article • SIAM Journal on Numerical Analysis, January 2006, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  82. Phase‐Field Relaxation of Topology Optimization with Local Stress Constraints

    Article • SIAM Journal on Control and Optimization, January 2006, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  83. Projected Gradient Flows for BV/Level Set Relaxation

    Article • PAMM, December 2005, Wiley

    Professor Martin Burger

  84. A survey on level set methods for inverse problems and optimal design

    Article • European Journal of Applied Mathematics, June 2005, Cambridge University Press

    Professor Martin Burger

  85. Numerical simulation of anisotropic surface diffusion with curvature-dependent energy

    Article • Journal of Computational Physics, March 2005, Elsevier

    Professor Martin Burger

  86. An Iterative Regularization Method for Total Variation-Based Image Restoration

    Article • Multiscale Modeling and Simulation, January 2005, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  87. Nonlinear Inverse Scale Space Methods for Image Restoration

    Article • January 2005, Springer Science + Business Media

    Professor Martin Burger

  88. Optimal Control of Polymer Morphologies

    Article • Journal of Engineering Mathematics, August 2004, Springer Science + Business Media

    Professor Martin Burger

  89. Convergence rates of convex variational regularization

    Article • Inverse Problems, July 2004, Institute of Physics Publishing

    Professor Martin Burger

  90. Level set methods for geometric inverse problems in linear elasticity

    Article • Inverse Problems, March 2004, Institute of Physics Publishing

    Professor Martin Burger

  91. Incorporating topological derivatives into level set methods

    Article • Journal of Computational Physics, February 2004, Elsevier

    Professor Martin Burger

  92. Scene and Motion Reconstruction from Defocused and Motion-Blurred Images via Anisotropic Diffusion

    Article • January 2004, Springer Science + Business Media

    Professor Martin Burger

  93. Levenberg–Marquardt level set methods for inverse obstacle problems

    Article • Inverse Problems, December 2003, Institute of Physics Publishing

    Professor Martin Burger

  94. Analysis of Tikhonov regularization for function approximation by neural networks

    Article • Neural Networks, January 2003, Elsevier

    Professor Martin Burger

  95. A framework for the construction of level set methods for shape optimization and reconstruction

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2003, European Mathematical Publishing House

    Professor Martin Burger

  96. Fast Optimal Design of Semiconductor Devices

    Article • SIAM Journal on Applied Mathematics, January 2003, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  97. Mathematical Models for Polymer Crystallization Processes

    Article • January 2003, Springer Science + Business Media

    Professor Martin Burger

  98. Iterative regularization of parameter identification problems by sequential quadratic programming methods

    Article • Inverse Problems, May 2002, Institute of Physics Publishing

    Professor Martin Burger

  99. Modelling multi-dimensional crystallization of polymers in interaction with heat transfer

    Article • Nonlinear Analysis Real World Applications, March 2002, Elsevier

    Professor Martin Burger

  100. Inverse Doping Problems for Semiconductor Devices

    Article • January 2002, Springer Science + Business Media

    Professor Martin Burger

  101. Numerical Approximation of an SQP-Type Method for Parameter Identification

    Article • SIAM Journal on Numerical Analysis, January 2002, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  102. Identification of doping profiles in semiconductor devices

    Article • Inverse Problems, November 2001, Institute of Physics Publishing

    Professor Martin Burger

  103. Error Bounds for Approximation with Neural Networks

    Article • Journal of Approximation Theory, October 2001, Elsevier

    Professor Martin Burger

  104. A level set method for inverse problems

    Article • Inverse Problems, August 2001, Institute of Physics Publishing

    Professor Martin Burger

  105. MATHEMATICAL MODELLING AND SIMULATION OF NON-ISOTHERMAL CRYSTALLIZATION OF POLYMERS

    Article • Mathematical Models and Methods in Applied Sciences, August 2001, World Scientific Pub Co Pte Lt

    Professor Martin Burger

  106. Iterative Regularization of a Parameter Identification Problem Occurring in Polymer Crystallization

    Article • SIAM Journal on Numerical Analysis, January 2001, Society for Industrial & Applied Mathematics (SIAM)

    Professor Martin Burger

  107. Inverse problems related to crystallization of polymers

    Article • Inverse Problems, January 1999, Institute of Physics Publishing

    Professor Martin Burger

  108. An Extension of the Kolmogorov-Avrami Formula to Inhomogeneous Birth-and-Growth Processes

    Article • Springer Science + Business Media

    Professor Martin Burger

  109. Optimization models for semiconductor dopant profiling

    Article • Springer Science + Business Media

    Professor Martin Burger

  110. A one Shot Approach to Topology Optimization with Local Stress Constraints

    Article • Springer Science + Business Media

    Professor Martin Burger