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OpenWalnut
1.5.0dev
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OpenWalnut
1.5.0dev
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Computes the FA (Fractional Anisotropy, see: https://en.wikipedia.org/wiki/Fractional_anisotropy) of a given Tensor. More...
#include <WFA.h>
Inheritance diagram for WFA: Collaboration diagram for WFA:Public Member Functions | |
| WFA () | |
| Creates an object to perform the computation. More... | |
| Public Member Functions inherited from WObjectNDIP< WDataSetDTIToScalar_I > | |
| virtual | ~WObjectNDIP () |
| Destructor. More... | |
| virtual std::string | getName () const |
| The name of the object. More... | |
| virtual std::string | getDescription () const |
| The description of this object. More... | |
| virtual const char ** | getIcon () const |
| The icon of this object. More... | |
| virtual WProperties::SPtr | getProperties () |
| Return the property group of this object. More... | |
| Public Member Functions inherited from WDataSetDTIToScalar_I | |
| virtual WDataSetScalar::SPtr | operator() (WProgress::SPtr progress, WBoolFlag const &shutdown, WDataSetDTI::SPtr tensors, WDataSetVector::SPtr evals) |
| This runs the given strategy on the given dataset. More... | |
| virtual | ~WDataSetDTIToScalar_I () |
| Destructor. More... | |
Protected Member Functions | |
| virtual double | tensorToScalar (const WVector3d &evals, const WTensorSym< 2, 3, float > &tensor) |
| Actual FA computation takes place inhere. More... | |
| Protected Member Functions inherited from WObjectNDIP< WDataSetDTIToScalar_I > | |
| WObjectNDIP (std::string name, std::string description, const char **icon=NULL) | |
| Construct a NDIP'ed object. More... | |
Additional Inherited Members | |
| Public Types inherited from WObjectNDIP< WDataSetDTIToScalar_I > | |
| typedef std::shared_ptr< WObjectNDIP > | SPtr |
| Shared ptr to an instance. More... | |
| typedef std::shared_ptr< const WObjectNDIP > | ConstSPtr |
| Shared ptr to a const instance. More... | |
| Protected Attributes inherited from WObjectNDIP< WDataSetDTIToScalar_I > | |
| WProperties::SPtr | m_properties |
| the properties of the object. More... | |
Computes the FA (Fractional Anisotropy, see: https://en.wikipedia.org/wiki/Fractional_anisotropy) of a given Tensor.
![\[ \hat{\lambda} = \frac{1}{3} \sum \lambda_i \]](form_6.png)
![\[ FA = \sqrt{ \frac{3}{2} \frac{ \left(\lambda_1 - \hat{\lambda} \right)^2 + \left(\lambda_2 - \hat{\lambda} \right)^2 + \left(\lambda_3 - \hat{\lambda} \right)^2 } {\lambda_1^2 + \lambda_2^2 + \lambda_3^2 } } \]](form_7.png)
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protectedvirtual |
Actual FA computation takes place inhere.
| evals | With the three given Eigenvalues, we may compute the FA. See the wikipedia article above for the formula. |
| tensor | Although not needed for FA computation, the API requires us to use the signature. |
Implements WDataSetDTIToScalar_I.
1.9.1
