Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

On diffusion tensor estimation.

Marc Niethammer1, Raul San Jose Estepar, Sylvain Bouix

  • 1Department of Psychiatry, Brigham Women's Hospital, Harvard Medical School, Boston, MA, USA. marc@bwh.harvard.edu

Conference Proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference
|December 6, 2007
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

CARL: A Framework for Equivariant Image Registration.

Proceedings. IEEE Computer Society Conference on Computer Vision and Pattern Recognition·2026
Same author

Inverse Consistency by Construction for Multistep Deep Registration.

Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention·2026
Same author

LiftReg: Limited Angle 2D/3D Deformable Registration.

Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention·2026
Same author

Erratum for: Prediction of Lobar Emphysema Progression with a CT-Based Foundational Model.

Radiology·2026
Same author

uniGradICON: A Foundation Model for Medical Image Registration.

Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention·2026
Same author

Prediction of Lobar Emphysema Progression with a CT-Based Foundational Model.

Radiology·2026
Same journal

Highly Articulated Robotic Probe for Minimally Invasive Surgery.

Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference·2010
Same journal

Combined peripheral and cortical neural stimulation in motor neurorehabilitation.

Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference·2008
Same journal

Embedded assessment algorithms within home-based cognitive computer game exercises for elders.

Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference·2008
Same journal

Digital signal processing of the wideband external pulse recorded during cuff deflation: a new way to measure blood pressure.

Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference·2008
Same journal

Immune cells detection of the in vivo rejecting heart in USPIO-enhanced magnetic resonance imaging.

Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference·2008
Same journal

wHospital: a web-based application with digital signature for drugs dispensing management.

Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference·2007
See all related articles

This study introduces a new method for estimating diffusion tensors, ensuring positive definiteness. This approach provides a direct solution, improving accuracy in diffusion imaging analysis.

Area of Science:

  • Medical Imaging
  • Computational Neuroscience
  • Diffusion MRI

Background:

  • Diffusion tensor estimation traditionally imposes symmetry but may yield negative eigenvalues due to noise or signal drop.
  • Negative eigenvalues violate the physical principles of diffusion, necessitating robust estimation methods.

Purpose of the Study:

  • To propose a formal mathematical framework for diffusion tensor estimation within the space of symmetric positive semidefinite (PSD) tensors.
  • To develop an estimation method that inherently respects the positive definiteness constraint.

Main Methods:

  • Formulation of diffusion tensor estimation in the space of symmetric positive semidefinite tensors.
  • Derivation of a closed-form solution for tensor estimation.

Related Experiment Videos

Main Results:

  • A novel estimation method is presented that guarantees positive semidefinite diffusion tensors.
  • The derived closed-form solution offers optimal data-fitting in the matrix 2-norm sense.
  • This method eliminates the need for iterative optimization-based tensor estimation.

Conclusions:

  • The proposed method provides a theoretically sound and computationally efficient approach to diffusion tensor estimation.
  • Ensuring positive definiteness enhances the biophysical validity of diffusion tensor imaging results.
  • The closed-form solution simplifies and potentially improves the accuracy of diffusion tensor reconstruction.