Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
International Journal of Computer Vision
SIAM Journal on Scientific Computing
A PDE-based fast local level set method
Journal of Computational Physics
Fiber Tract Mapping from Diffusion Tensor MRI
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
A Statistical Approach to Snakes for Bimodal and Trimodal Imagery
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Projection methods coupled to level set interface techniques
Journal of Computational Physics
IEEE Transactions on Image Processing
Thalamus segmentation from diffusion tensor magnetic resonance imaging
Journal of Biomedical Imaging
Diffusion maps clustering for magnetic resonance Q-ball imaging segmentation
Journal of Biomedical Imaging - Recent Advances in Neuroimaging Methodology
Joint Segmentation of Thalamic Nuclei from a Population of Diffusion Tensor MR Images
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
Cocluster analysis of thalamo-cortical fibre tracts extracted from diffusion tensor MRI
International Journal of Data Mining and Bioinformatics
Level Set Segmentation of Knee Bones Using Normal Profile Models
MIRAGE '09 Proceedings of the 4th International Conference on Computer Vision/Computer Graphics CollaborationTechniques
International Journal of Computer Vision
Segmentation of thalamic nuclei based on tensorial morphological gradient of diffusion tensor fields
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Segmenting thalamic nuclei: what can we gain from HARDI?
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
A local modified chan–vese model for segmenting inhomogeneous multiphase images
International Journal of Imaging Systems and Technology
Analysis of Scalar Maps for the Segmentation of the Corpus Callosum in Diffusion Tensor Fields
Journal of Mathematical Imaging and Vision
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We present a method for segmenting white matter as well as the gray matter structures from diffusion tensor magnetic resonance images (DT-MRI). The segmentation is done evolving a set of coupled level set functions. The zero level set of each level set function forms a surface in 3D that is driven by the region-based force including all tensors belonging to a certain region. The region-based force is defined by using a very sensitive similarity measure between DT. We apply our method for segmenting the thalamus and its nuclei. This technical paper proposes several new strategies for level set methods to segment efficiently complex objects as present in DT-MRI. First of all, we present a very sensitive similarity measure that distinguishes very subtle differences between regions within, for example, the thalamus. Secondly, we present a new way of selecting the most representative tensor for group of tensors for these kinds of applications. We argue for the importance to use the tensor minimizing the variation within the group of tensors instead of the mean tensor as suggested in other papers on tensor segmentation. The third important point is the necessity of using several coupled level sets to define the background. Methods differentiating only between foreground and background will fail when applied to complex structures such as the brain. It is crucial for a region-based approach to consider all the surrounding structures for a correct definition of the forces driving the segmentation.