SoEigenDecompositionProcessing3d Class Reference
[Arithmetic Operations]

The SoEigenDecompositionProcessing3d engine computes the local eigenvectors and eigenvalues of a 3D matrix image. More...

#include <ImageViz/Engines/ArithmeticAndLogic/ArithmeticOperations/SoEigenDecompositionProcessing3d.h>

Inheritance diagram for SoEigenDecompositionProcessing3d:

List of all members.

Public Types
enum	OutputSelection { EIGEN_VECTOR_1 = 1, EIGEN_VECTOR_2 = 2, EIGEN_VECTOR_3 = 4, EIGEN_VALUES = 8 }
Public Member Functions
	SoEigenDecompositionProcessing3d ()
Public Attributes
SoSFImageDataAdapter	inSymmetricMatrixImage
SoSFBitMask	outputSelection
SoImageVizEngineOutput < SoSFImageDataAdapter, SoImageDataAdapter * >	outEigenVector1Image
SoImageVizEngineOutput < SoSFImageDataAdapter, SoImageDataAdapter * >	outEigenVector2Image
SoImageVizEngineOutput < SoSFImageDataAdapter, SoImageDataAdapter * >	outEigenVector3Image
SoImageVizEngineOutput < SoSFImageDataAdapter, SoImageDataAdapter * >	outEigenValuesImage

Detailed Description

The SoEigenDecompositionProcessing3d engine computes the local eigenvectors and eigenvalues of a 3D matrix image.

The input image must have six channels, where each channel contains one of the unique components of a 3x3 symmetric matrix. (The redundant components are not necessary.) This engine creates output images containing the eigenvectors and/or eigenvalues of the input matrix image.

Let $ A(X) $ be the 3x3 symetric matrix at position $ X=(x,y) $ .
$A(X)_{1,1} = I(X,0)$ ,
$A(X)_{1,2} = I(X,1)$ ,
$A(X)_{1,3} = I(X,2)$ ,
$A(X)_{2,2} = I(X,3)$ ,
$A(X)_{2,3} = I(X,4)$ and
$A(X)_{3,3} = I(X,5)$
where $ I(X, s) $ is the spectral component value $ s $ at the spatial position $ X $ .

FILE FORMAT/DEFAULT

inSymmetricMatrixImage	NULL
outputSelection	EIGEN_VECTOR_1 \| EIGEN_VECTOR_2 \| EIGEN_VECTOR_3 \| EIGEN_VALUES

Library references: eigendecomposition3d

Member Enumeration Documentation

enum SoEigenDecompositionProcessing3d::OutputSelection

This enum defines the different outputs that can be selected.

Enumerator:

EIGEN_VECTOR_1	Enable the computation of the first eigenvector (the largest value).
EIGEN_VECTOR_2	Enable the computation of the second eigenvector (the medium value).
EIGEN_VECTOR_3	Enable the computation of the third eigenvector (the smallest value).
EIGEN_VALUES	Enable the computation of eigenvalues (from the largest to the smallest).

Constructor & Destructor Documentation

SoEigenDecompositionProcessing3d::SoEigenDecompositionProcessing3d ( )

Constructor.

Member Data Documentation

SoSFImageDataAdapter SoEigenDecompositionProcessing3d::inSymmetricMatrixImage

A matrix image containing symmetric 3x3 matrices.

The image type must be float. The number of channels must be 6 in the following order $($A_{11}, A_{12}, A_{13}, A_{22}, A_{23}, A_{33})$ where $ A $ is a symmetric 3x3 matrix.
Default value is NULL. Supported types include: grayscale color image.

SoImageVizEngineOutput<SoSFImageDataAdapter,SoImageDataAdapter*> SoEigenDecompositionProcessing3d::outEigenValuesImage

Eigenvalues image.

The IJK dimensions of the output image are the same as the input but the number of channels is 3 (channel 0 = largest Eigen value, channel 1 = medium Eigen value, channel 2 = smallest Eigen value). The calibration (voxel size, origin, orientation) is forced to the same values as the input. The voxel type is forced to float. Default value is NULL. Supported types include: grayscale binary label color image.

SoImageVizEngineOutput<SoSFImageDataAdapter,SoImageDataAdapter*> SoEigenDecompositionProcessing3d::outEigenVector1Image

Eigenvector image containing the largest eigen value.

The IJK dimensions of the output image are the same as the input but the number of channels is 3 (channel 0 = x, channel 1 = y, channel 2 = z). The calibration (voxel size, origin, orientation) is forced to the same values as the input. The voxel type is forced to float. Default value is NULL. Supported types include: grayscale binary label color image.

SoImageVizEngineOutput<SoSFImageDataAdapter,SoImageDataAdapter*> SoEigenDecompositionProcessing3d::outEigenVector2Image

Eigenvector image containing the medium eigen value.

The IJK dimensions of the output image are the same as the input but the number of channels is 3 (channel 0 = x, channel 1 = y, channel 2 = z). The calibration (voxel size, origin, orientation) is forced to the same values as the input. The voxel type is forced to float. Default value is NULL. Supported types include: grayscale binary label color image.

SoImageVizEngineOutput<SoSFImageDataAdapter,SoImageDataAdapter*> SoEigenDecompositionProcessing3d::outEigenVector3Image

Eigenvector image containing the smallest eigen value.

The IJK dimensions of the output image are the same as the input but the number of channels is 3 (channel 0 = x, channel 1 = y, channel 2 = z). The calibration (voxel size, origin, orientation) is forced to the same values as the input. The voxel type is forced to float. Default value is NULL. Supported types include: grayscale binary label color image.

SoSFBitMask SoEigenDecompositionProcessing3d::outputSelection

Enable computation of selected outputs.

Use enum OutputSelection. Default is EIGEN_VECTOR_1 | EIGEN_VECTOR_2 | EIGEN_VECTOR_3 | EIGEN_VALUES

The documentation for this class was generated from the following file:

ImageViz/Engines/ArithmeticAndLogic/ArithmeticOperations/SoEigenDecompositionProcessing3d.h

SoEigenDecompositionProcessing3d Class Reference [Arithmetic Operations]

Public Types

Public Member Functions

Public Attributes

Detailed Description

SEE ALSO

FILE FORMAT/DEFAULT

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Data Documentation

SoEigenDecompositionProcessing3d Class Reference
[Arithmetic Operations]