SoEigenDecompositionProcessing2d Class Reference
[Arithmetic Operations]

The SoEigenDecompositionProcessing2d engine computes the local eigenvectors and eigenvalues of a 2D matrix image. More...

#include <ImageViz/Engines/ArithmeticAndLogic/ArithmeticOperations/SoEigenDecompositionProcessing2d.h>

Inheritance diagram for SoEigenDecompositionProcessing2d:

List of all members.

Public Types
enum	OutputSelection { EIGEN_VECTOR_1 = 1, EIGEN_VECTOR_2 = 2, EIGEN_VALUES = 4 }
Public Member Functions
	SoEigenDecompositionProcessing2d ()
Public Attributes
SoSFImageDataAdapter	inSymmetricMatrixImage
SoSFBitMask	outputSelection
SoImageVizEngineOutput < SoSFImageDataAdapter, SoImageDataAdapter * >	outEigenVector1Image
SoImageVizEngineOutput < SoSFImageDataAdapter, SoImageDataAdapter * >	outEigenVector2Image
SoImageVizEngineOutput < SoSFImageDataAdapter, SoImageDataAdapter * >	outEigenValuesImage

Detailed Description

The SoEigenDecompositionProcessing2d engine computes the local eigenvectors and eigenvalues of a 2D matrix image.

The input image must have three channels, where each channel contains one of the unique components of a 2x2 symmetric matrix. (The redundant fourth component is not necessary.) This engine creates output images containing the eigenvectors and/or eigenvalues of the input matrix image.

Let $ A(X) $ be the matrix at position $ X=(x,y) $ .
$A(X)_{1,1} = I(X,0)$ ,
$A(X)_{1,2} = I(X,1)$ and $A(X)_{2,2} = I(X,2)$ ,
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_VALUES

Library references: eigendecomposition

See related examples:: Hessian

Member Enumeration Documentation

enum SoEigenDecompositionProcessing2d::OutputSelection

This enum defines the different outputs that can be selected.

Enumerator:

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

Constructor & Destructor Documentation

SoEigenDecompositionProcessing2d::SoEigenDecompositionProcessing2d ( )

Constructor.

Member Data Documentation

SoSFImageDataAdapter SoEigenDecompositionProcessing2d::inSymmetricMatrixImage

A matrix image containing symmetric 2x2 matrices.

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

SoImageVizEngineOutput<SoSFImageDataAdapter,SoImageDataAdapter*> SoEigenDecompositionProcessing2d::outEigenValuesImage

Eigenvalues image.

The IJK dimensions of the output image are the same as the input but the number of channels is 2 (channel 0 = largest Eigen value, channel 1 = 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*> SoEigenDecompositionProcessing2d::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 2 (channel 0 = x, channel 1 = y). 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 image.

SoImageVizEngineOutput<SoSFImageDataAdapter,SoImageDataAdapter*> SoEigenDecompositionProcessing2d::outEigenVector2Image

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 2 (channel 0 = x, channel 1 = y). 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 image.

SoSFBitMask SoEigenDecompositionProcessing2d::outputSelection

Enable computation of selected outputs.

Use enum OutputSelection. Default is EIGEN_VECTOR_1 | EIGEN_VECTOR_2 | EIGEN_VALUES

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

ImageViz/Engines/ArithmeticAndLogic/ArithmeticOperations/SoEigenDecompositionProcessing2d.h

SoEigenDecompositionProcessing2d Class Reference [Arithmetic Operations]

Public Types

Public Member Functions