## Figures and Tables from this paper

## 6,225 Citations

A fast approach of nonparametric elastic image registration problem

- Computer ScienceMathematical Methods in the Applied Sciences
- 2019

A fast algorithm of the nonparametric elastic image registration using a simple implementation of the Range Restricted GMRES (RRGMRES) method, which is specified to the tridiagonal block matrix type to resolve a nonsymmetric linear system.

Diffeomorphic 3D Image Registration via Geodesic Shooting Using an Efficient Adjoint Calculation

- Computer Science, MathematicsInternational Journal of Computer Vision
- 2011

The key contribution of this work is to provide an accurate estimation of the so-called initial momentum, which is a scalar function encoding the optimal deformation between two images through the Hamiltonian equations of geodesics.

Frequency Diffeomorphisms for Efficient Image Registration

- Computer ScienceIPMI
- 2017

A novel finite dimensional Fourier representation of diffeomorphic deformations based on the key fact that the high frequency components of a diffeomorphism remain stationary throughout the integration process when computing the deformation associated with smooth velocity fields is introduced.

Symmetric image registration with directly calculated inverse deformation field

- Physics
- 2012

A novel technique for a symmetric deformable image registration based on a new method for fast and accurate direct inversion of a large motion model deformation field making the final estimation of forward and backward deformation fields anatomically plausible.

Diffeomorphic registration using geodesic shooting and Gauss–Newton optimisation

- BusinessNeuroImage
- 2011

A Fast and Accurate Algorithm for Diffeomorphic and Symmetric Non-rigid Registration of Brain Magnetic Resonance Images

- Computer Science
- 2015

A log-Euclidean framework was used to model diffeomorphisms, and it was demonstrated that the proposed algorithm is diffeomorphic with sub-voxel accuracy in terms of symmetry.

Non-linear Image Registration

- MathematicsHandbook of Mathematical Methods in Imaging
- 2015

This chapter reviews mathematical techniques for nonlinear image registration and presents a general, unified, and flexible approach based on a variational formulation and particular emphasis is given to regularization functionals motivated by mathematical elasticity.

A Parameterization of Deformation Fields for Diffeomorphic Image Registration and Its Application to Myocardial Delineation

- MathematicsMICCAI
- 2010

A new parameterization of deformation fields for image registration is investigated that describes a deformation field with its transformation Jacobian and curl of end velocity field in terms of radial and rotational components, making it especially suited for processing cardiac data.

Registration of Images With Varying Topology Using Embedded Maps

- PhysicsIEEE Transactions on Medical Imaging
- 2012

The efficacy of the proposed REM method for registration of brain MRI with severe topological differences is demonstrated as multiple sets of experiments are conducted on magnetic resonance imaging (MRI) with lesions from OASIS and ADNI datasets.

Parametric non-rigid registration using a stationary velocity field

- Mathematics2012 IEEE Workshop on Mathematical Methods in Biomedical Image Analysis
- 2012

A novel log-Euclidean FFD approach, in which a spline model of a stationary velocity field is exponentiated to yield a diffeomorphism, using an efficient scaling-and-squaring algorithm.

## References

SHOWING 1-10 OF 45 REFERENCES

A Multilevel Method for Image Registration

- Computer ScienceSIAM J. Sci. Comput.
- 2006

A new framework for image registration based on consistent discretization of the optimization problem coupled with a multigrid solution of the linear system which evolves in a Gauss--Newton iteration is introduced.

Fast Fluid Registration of Medical Images

- PhysicsVBC
- 1996

A new fast algorithm for non-rigid Viscous Fluid Registration of medical images that is at least an order of magnitude faster than the previous method by Christensen et al.

Geodesic estimation for large deformation anatomical shape averaging and interpolation

- MathematicsNeuroImage
- 2004

Consistent Linear-Elastic Transformations for Image Matching

- MathematicsIPMI
- 1999

It is shown that joint estimation of a consistent set of forward and reverse transformations constrained by linear-elasticity gives better registration results than using either constraint alone or none at all.

Fast Non-Rigid Matching of 3D Medical Images

- Computer Science
- 1995

A method to perform the non-rigid matching of two 3D medical images, which is fast and fully automated, based on "demons" which locally deform the model to push it into a mold, as opposed to more traditional "attractor" based deformable model techniques.

Large deformation minimum mean squared error template estimation for computational anatomy

- Mathematics2004 2nd IEEE International Symposium on Biomedical Imaging: Nano to Macro (IEEE Cat No. 04EX821)
- 2004

This method generates a representative anatomical template from an arbitrary number of topologically similar images using large deformation minimum mean squared error image registration and generates the image that requires the least amount of deformation energy to be transformed into every input image.

Deformable templates using large deformation kinematics

- EngineeringIEEE Trans. Image Process.
- 1996

Application of the method to intersubject registration of neuroanatomical structures illustrates the ability to account for local anatomical variability.

Geodesic Shooting for Computational Anatomy

- MathematicsJournal of Mathematical Imaging and Vision
- 2005

It is shown that this momentum can be also used for describing a deformation of given visual structures, like points, contours or images, and that, it has the same dimension as the described object, as a consequence of the normal momentum constraint the authors introduce.

Introduction to the Non-rigid Image Registration Evaluation Project (NIREP)

- EngineeringWBIR
- 2006

The Non-rigid Image Registration Evaluation Project (NIREP) has been started to develop, establish, maintain, and endorse a standardized set of relevant benchmarks and metrics for performance evaluation of nonrigid image registration algorithms.