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For DTI, it is generally possible to use linear algebra, matrix mathematics and vector mathematics to process the analysis of the tensor data. In some cases, the full set of tensor properties is of interest, but for tractography it is usually necessary to know only the magnitude and orientation of the primary axis or vector. This primary axis ...
The tensor can be flattened in three ways to obtain matrices comprising its mode-0, mode-1, and mode-2 vectors. [ 1 ] In multilinear algebra , mode-m flattening [ 1 ] [ 2 ] [ 3 ] , also known as matrixizing , matricizing , or unfolding , [ 4 ] is an operation that reshapes a multi-way array A {\displaystyle {\mathcal {A}}} into a matrix denoted ...
Tensor [4] is a tensor package written for the Mathematica system. It provides many functions relevant for General Relativity calculations in general Riemann–Cartan geometries. Ricci [5] is a system for Mathematica 2.x and later for doing basic tensor analysis, available for free.
3D Slicer (Slicer) is a free and open source software package for image analysis [1] [2] and scientific visualization. Slicer is used in a variety of medical applications, including autism , multiple sclerosis , systemic lupus erythematosus , prostate cancer , lung cancer , breast cancer , schizophrenia , orthopedic biomechanics , COPD ...
Amira (ah-MEER-ah) is a software platform for visualization, processing, and analysis of 3D and 4D data. It is being actively developed by Thermo Fisher Scientific in collaboration with the Zuse Institute Berlin (ZIB), and commercially distributed by Thermo Fisher Scientific — together with its sister software Avizo.
Diffusion tensor imaging, a structural medical imaging technique; Direct thrombin inhibitor; Diesel turbo injection, a brand name for common rail; Direct tension indicator; Deep tissue injury, see suspected deep tissue injury in List of medical abbreviations: S; Dye transfer inhibitor
For example, the lateral ventricles in MRI can be segmented reliably, as can some types of tumors in CT and MRI. ITK-SNAP is open-source software distributed under the GNU General Public License . It is written in C++ and it leverages the Insight Segmentation and Registration Toolkit (ITK) library.
A (0,1) tensor is a covector. A (0,2) tensor is a bilinear form. An example is the metric tensor . A (1,1) tensor is a linear map. An example is the delta, , which is the identity map, or a Lorentz transformation .