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Title: PDE-constrained optimization in medical image analysis


Not provided.

; ; ;
Publication Date:
Research Org.:
Univ. of Texas, Austin, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
DOE Contract Number:  
SC0009286; SC0010518
Resource Type:
Journal Article
Journal Name:
Optimization and Engineering
Additional Journal Information:
Journal Volume: 19; Journal Issue: 3; Journal ID: ISSN 1389-4420
Country of Publication:
United States
Engineering; Operations Research & Management Science; Mathematics

Citation Formats

Mang, Andreas, Gholami, Amir, Davatzikos, Christos, and Biros, George. PDE-constrained optimization in medical image analysis. United States: N. p., 2018. Web. doi:10.1007/s11081-018-9390-9.
Mang, Andreas, Gholami, Amir, Davatzikos, Christos, & Biros, George. PDE-constrained optimization in medical image analysis. United States.
Mang, Andreas, Gholami, Amir, Davatzikos, Christos, and Biros, George. Wed . "PDE-constrained optimization in medical image analysis". United States.
title = {PDE-constrained optimization in medical image analysis},
author = {Mang, Andreas and Gholami, Amir and Davatzikos, Christos and Biros, George},
abstractNote = {Not provided.},
doi = {10.1007/s11081-018-9390-9},
url = {}, journal = {Optimization and Engineering},
issn = {1389-4420},
number = 3,
volume = 19,
place = {United States},
year = {2018},
month = {6}

Works referenced in this record:

Parallel Multiscale Gauss-Newton-Krylov Methods for Inverse Wave Propagation
conference, January 2002

A Fast and Scalable Method for A-Optimal Design of Experiments for Infinite-dimensional Bayesian Nonlinear Inverse Problems
journal, January 2016

A Nonlinear Variational Problem for Image Matching
journal, January 1994

Simultaneous optical flow and source estimation: Space–time discretization and preconditioning
journal, October 2015

Minimizing Flows for the Monge--Kantorovich Problem
journal, January 2003

Optical tomography in medical imaging
journal, January 1999

Optical tomography: forward and inverse problems
journal, December 2009

A fast diffeomorphic image registration algorithm
journal, October 2007

Diffeomorphic registration using geodesic shooting and Gauss–Newton optimisation
journal, April 2011

Incorporation of diffusion-weighted magnetic resonance imaging data into a simple mathematical model of tumor growth
journal, December 2011

Lagrangian frame diffeomorphic image registration: Morphometric comparison of human and chimpanzee cortex
journal, June 2006

A reproducible evaluation of ANTs similarity metric performance in brain image registration
journal, February 2011

Biomechanical Dynamics of the Heart with MRI
journal, August 2002

An optimal control approach to the optical flow problem
journal, January 2016

Optimal boundary control of a system of reaction diffusion equations
journal, November 2010

  • Barthel, W.; John, C.; Tröltzsch, F.
  • ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 90, Issue 12

Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms
journal, February 2005

On the Foundations of Cancer Modelling: Selected Topics, Speculations, and Perspectives
journal, April 2008

A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
journal, January 2000

Numerical solution of saddle point problems
journal, April 2005

Multilevel Algorithms for Large-Scale Interior Point Methods
journal, January 2010

A preconditioning technique for a class of PDE-constrained optimization problems
journal, July 2011

Parallel Newton-Krylov methods for PDE-constrained optimization
conference, January 1999

Parallel Lagrange--Newton--Krylov--Schur Methods for PDE-Constrained Optimization. Part I: The Krylov--Schur Solver
journal, January 2005

MR Imaging of Arrhythmogenic Right Ventricular Cardiomyopathy: Morphologic Findings and Interobserver Reliability
journal, January 2003

Optimal Control Formulation for Determining Optical Flow
journal, January 2003

A Hyperelastic Regularization Energy for Image Registration
journal, January 2013

Regional Myocardial Function: Advances in MR Imaging and Analysis
journal, October 2003

Image Sequence Interpolation Using Optimal Control
journal, March 2011

Kidney Tumor Growth Prediction by Coupling Reaction–Diffusion and Biomechanical Model
journal, January 2013

3D brain mapping using a deformable neuroanatomy
journal, March 1994

Deformable templates using large deformation kinematics
journal, January 1996

CLARITY for mapping the nervous system
journal, June 2013

Realistic simulation of the 3-D growth of brain tumors in MR images coupling diffusion with biomechanical deformation
journal, October 2005

An inverse problem for the recovery of the vascularization of a tumor
journal, January 2014

Bayesian Calibration, Validation and Uncertainty Quantification for Predictive Modelling of Tumour Growth: A Tutorial
journal, March 2017

Parameter identification problems in the modelling of cell motility
journal, September 2014

On the communication complexity of 3D FFTs and its implications for Exascale
conference, January 2012

Personalization of Cardiac Motion and Contractility From Images Using Variational Data Assimilation
journal, January 2012

Truncated-newtono algorithms for large-scale unconstrained optimization
journal, June 1983

Second-Order Runge--Kutta Approximations in Control Constrained Optimal Control
journal, January 2000

Variational problems on flows of diffeomorphisms for image matching
journal, January 1998

Choosing the Forcing Terms in an Inexact Newton Method
journal, January 1996

Medical image processing on the GPU – Past, present and future
journal, December 2013

Efficient methods for implementation of multi-level nonrigid mass-preserving image registration on GPUs and multi-threaded CPUs
journal, April 2016

Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes
journal, June 1998

Physiologic Parameter Estimation Using Inverse Problems
journal, January 2013

Image-Driven Parameter Estimation in Absorption-Diffusion Models of Chromoscopy
journal, January 2011

Ill-posed medicine—an introduction to image registration
journal, May 2008

A survey of medical image registration on graphics hardware
journal, December 2011

Geophysical Imaging of Fluid Flow in Porous Media
journal, January 2014

A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport
journal, April 2016

On markov chain monte carlo methods for nonlinear and non-gaussian state-space models
journal, January 1999

Note on the Sampling Distribution for the Metropolis-Hastings Algorithm
journal, January 2003

An inverse problem formulation for parameter estimation of a reaction–diffusion model of low grade gliomas
journal, May 2015

A framework for scalable biophysics-based image analysis
conference, January 2017

  • Gholami, Amir; Mang, Andreas; Scheufele, Klaudius
  • Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis on - SC '17

Linear and Nonlinear Elastic Modulus Imaging: An Application to Breast Cancer Diagnosis
journal, August 2012

GLISTR: Glioma Image Segmentation and Registration
journal, October 2012

Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentiation
journal, January 1992

Implementation and evaluation of various demons deformable image registration algorithms on a GPU
journal, December 2009

Applying a patient-specific bio-mathematical model of glioma growth to develop virtual [18F]-FMISO-PET images
journal, May 2011

Preconditioned all-at-once methods for large, sparse parameter estimation problems
journal, November 2001

A Multilevel Method for the Solution of Time Dependent Optimal Transport
journal, February 2015

A Multilevel Method for Image Registration
journal, January 2006

On optimization techniques for solving nonlinear inverse problems
journal, October 2000

Runge-Kutta methods in optimal control and the transformed adjoint system
journal, December 2000

Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
journal, December 1992

The Evolution of Mathematical Modeling of Glioma Proliferation and Invasion
journal, January 2007

An optimal control approach for deformable registration
conference, June 2009

  • Hart, Gabriel L.; Zach, Christopher; Niethammer, Marc
  • 2009 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops

Bayesian calibration, validation, and uncertainty quantification of diffuse interface models of tumor growth
journal, October 2012

A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems
journal, January 2005

Registration of Anatomical Images Using Paths of Diffeomorphisms Parameterized with Stationary Vector Field Flows
journal, February 2009

Brain–Tumor Interaction Biophysical Models for Medical Image Registration
journal, January 2008

An image-driven parameter estimation problem for a reaction–diffusion glioma growth model with mass effects
journal, November 2007

Determining optical flow
journal, August 1981

In vivo strain and stress estimation of the heart left and right ventricles from MRI images
journal, December 2003

Patient-Specific Mathematical Neuro-Oncology: Using a Simple Proliferation and Invasion Tumor Model to Inform Clinical Practice
journal, March 2015

Adaptive finite element based tomography for fluorescence optical imaging in tissue
journal, January 2004

Line Search Multilevel Optimization as Computational Methods for Dense Optical Flow
journal, January 2011

elastix: A Toolbox for Intensity-Based Medical Image Registration
journal, January 2010

Adjoint method for a tumor growth PDE-constrained optimization problem
journal, October 2013

A mathematical method for parameter estimation in a tumor growth model
journal, July 2015

Extrapolating glioma invasion margin in brain magnetic resonance images: Suggesting new irradiation margins
journal, April 2010

Image Guided Personalization of Reaction-Diffusion Type Tumor Growth Models Using Modified Anisotropic Eikonal Equations
journal, January 2010

Personalized Radiotherapy Planning Based on a Computational Tumor Growth Model
journal, March 2017

An Optimal Control Formulation of an Image Registration Problem
journal, October 2009

Analysis of Finite Element Discretizations of an Optimal Control Formulation of the Image Registration Problem
journal, January 2011

A hybrid ten-species phase-field model of tumor growth
journal, September 2014

Selection, calibration, and validation of models of tumor growth
journal, October 2016

Selection and validation of predictive models of radiation effects on tumor growth based on noninvasive imaging data
journal, December 2017

Patient specific tumor growth prediction using multimodal images
journal, April 2014

Accelerating Neuroimage Registration through Parallel Computation of Similarity Metric
journal, September 2015

An Inexact Newton--Krylov Algorithm for Constrained Diffeomorphic Image Registration
journal, January 2015

Constrained $H^1$-Regularization Schemes for Diffeomorphic Image Registration
journal, January 2016

A Semi-Lagrangian Two-Level Preconditioned Newton--Krylov Solver for Constrained Diffeomorphic Image Registration
journal, January 2017

A Lagrangian Gauss--Newton--Krylov Solver for Mass- and Intensity-Preserving Diffeomorphic Image Registration
journal, January 2017

A Stochastic Newton MCMC Method for Large-Scale Statistical Inverse Problems with Application to Seismic Inversion
journal, January 2012

The Multimodal Brain Tumor Image Segmentation Benchmark (BRATS)
journal, October 2015

Prediction of Lung Tumor Evolution During Radiotherapy in Individual Patients With PET
journal, April 2014

Geodesic Shooting for Computational Anatomy
journal, January 2006

Fast free-form deformation using graphics processing units
journal, June 2010

Stereotaxic white matter atlas based on diffusion tensor imaging in an ICBM template
journal, April 2008

Tumor invasion margin on the Riemannian space of brain fibers
journal, February 2012

Fast Deformable Registration on the GPU: A CUDA Implementation of Demons
conference, June 2008

  • Muyan-Ozcelik, Pinar; Owens, John D.; Xia, Junyi
  • 2008 International Conference on Computational Science and Its Applications (ICCSA), 2008 International Conference on Computational Sciences and Its Applications

Solution of inverse problems in elasticity imaging using the adjoint method
journal, February 2003

Selection and Assessment of Phenomenological Models of Tumor Growth
journal, April 2013

Elastography: Ultrasonic estimation and imaging of the elastic properties of tissues
journal, March 1999

DRAMMS: Deformable registration via attribute matching and mutual-saliency weighting
journal, August 2011

Estimation of 3D left ventricular deformation from echocardiography
journal, March 2001

Estimation of 3-D left ventricular deformation from medical images using biomechanical models
journal, July 2002

Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes
journal, January 2013

Spatio-temporal free-form registration of cardiac MR image sequences
journal, October 2005

Mathematical modeling of brain tumors: effects of radiotherapy and chemotherapy
journal, May 2007

A fully coupled space–time multiscale modeling framework for predicting tumor growth
journal, June 2017

Tumor growth parameters estimation and source localization from a unique time point: Application to low-grade gliomas
journal, March 2013

Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer
journal, January 2006

Predicting the efficacy of radiotherapy in individual glioblastoma patients in vivo: a mathematical modeling approach
journal, May 2010

Mathematical Models of Avascular Tumor Growth
journal, January 2007

A matrix-free approach to efficient affine-linear image registration on CPU and GPU
journal, April 2016

Optical Stokes flow estimation: an imaging-based control approach
journal, November 2006

Modelling of glioblastoma growth by linking a molecular interaction network with an agent-based model
journal, October 2013

An electromechanical model of the heart for image analysis and simulation
journal, May 2006

Cardiac function estimation from MRI using a heart model and data assimilation: Advances and difficulties
journal, August 2006

Technology Insight: MRI of the myocardium
journal, November 2005

Parallel computation of mutual information on the GPU with application to real-time registration of 3D medical images
journal, August 2010

A Survey of Medical Image Registration on Multicore and the GPU
journal, March 2010

Parallel scalable PDE-constrained optimization: antenna identification in hyperthermia cancer treatment planning
journal, May 2009

Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems
journal, February 2012

Deformable Medical Image Registration: A Survey
journal, July 2013

A quantitative model for differential motility of gliomas in grey and white matter
journal, October 2000

Virtual brain tumours (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy
journal, January 2002

A mathematical modelling tool for predicting survival of individual patients following resection of glioblastoma: a proof of principle
journal, December 2007

A Novel Method for Simulating the Extracellular Matrix in Models of Tumour Growth
journal, January 2012

Advanced CLARITY for rapid and high-resolution imaging of intact tissues
journal, June 2014

Estimation of Myocardial Strain and Contraction Phase From Cine MRI Using Variational Data Assimilation
journal, February 2016

3D nonrigid registration via optimal mass transport on the GPU
journal, December 2009

Multi-GPU acceleration of DARTEL (early detection of Alzheimer)
conference, September 2014

Diffeomorphic demons: Efficient non-parametric image registration
journal, March 2009

Diffeomorphic 3D Image Registration via Geodesic Shooting Using an Efficient Adjoint Calculation
journal, August 2011

Computational modeling of brain tumors: discrete, continuum or hybrid?
journal, April 2008

Three-dimensional image-based mechanical modeling for predicting the response of breast cancer to neoadjuvant therapy
journal, February 2017

Discretely Exact Derivatives for Hyperbolic PDE-Constrained Optimization Problems Discretized by the Discontinuous Galerkin Method
journal, August 2014

Pancreatic Tumor Growth Prediction With Elastic-Growth Decomposition, Image-Derived Motion, and FDM-FEM Coupling
journal, January 2017

Jacobi fields in groups of diffeomorphisms and applications
journal, January 2007

A Comparative Study of Biomechanical Simulators in Deformable Registration of Brain Tumor Images
journal, March 2008

Non-diffeomorphic registration of brain tumor images by simulating tissue loss and tumor growth
journal, July 2009

Bayesian principal geodesic analysis for estimating intrinsic diffeomorphic image variability
journal, October 2015