SoEigenvaluesToStructurenessProcessing3d Class Reference
[Edge Marking]

SoEigenvaluesToStructurenessProcessing3d engine computes a structure score image More...

#include <ImageViz/Engines/EdgeDetection/EdgeMarking/SoEigenvaluesToStructurenessProcessing3d.h>

Inheritance diagram for SoEigenvaluesToStructurenessProcessing3d:

Public Types
enum	Lightness { BRIGHT = 0, DARK = 1 }
enum	StructureType { ROD = 0, BALL = 1, PLANE = 2 }
Public Member Functions
	SoEigenvaluesToStructurenessProcessing3d ()
Public Attributes
SoSFImageDataAdapter	inEigenvaluesImage
SoSFEnum	lightness
SoSFEnum	structureType
SoSFFloat	alpha
SoSFFloat	beta
SoSFFloat	noiseCutoff
SoImageVizEngineOutput < SoSFImageDataAdapter, SoImageDataAdapter * >	outImage

Detailed Description

SoEigenvaluesToStructurenessProcessing3d engine computes a structure score image

It allows to extract tubular, blob-like and plate-like structures from dark or bright background.

The computation is based on eigen values $\lambda_{1}$ , $\lambda_{2}$ and $\lambda_{3}$ where $\mid \lambda_{1} \mid \geq \mid \lambda_{2} \mid \geq \mid \lambda_{3} \mid$ .

The structure score for bright tubular structures corresponds to :

$score = \begin{cases} 0 & \text{ if } \lambda_1 >0 \text{ or } \lambda_2 >0 \\ (1-\exp(-\frac{\mathcal{R}_a^2}{2\alpha^2}))\exp(-\frac{\mathcal{R}_b^2}{2\beta^2})(1-\exp(-\frac{S^2}{2c^2})) & \end{cases}$

and the score for bright blob-like structures is computed as follow :

$score = \begin{cases} 0 & \text{ if } \lambda_1 >0 \text{ or} \lambda_2 >0 \text{ or} \lambda_3 >0\\ (1-\exp(-\frac{\mathcal{R}_a^2}{2\alpha^2}))(1-\exp(-\frac{\mathcal{R}_b^2}{2\beta^2}))(1-\exp(-\frac{S^2}{2c^2})) \end{cases}$

and the score for bright plate-like structures is computed as follow :

$score = \begin{cases} 0 & \text{ if } \lambda_1 >0 \\ \exp(-\frac{\mathcal{R}_a^2}{2\alpha^2})\exp(-\frac{\mathcal{R}_b^2}{2\beta^2})(1-\exp(-\frac{S^2}{2c^2})) & \end{cases}$

where $S$ is the Hessian norm

$S = \left \| \mathcal{H} \right \| = \sqrt{\sum \lambda_i^2}$

$\alpha$ is a threshold which controls the flatness sensitivity, $\beta$ is a threshold which controls the blobness sensitivity, and c is a sensitivity threshold which controls the noise influence. $c = noiseCutoff*S_{max}$ with $S_{max}$ the maximum Hessian norm in the image.

For dark objects the conditions on $\lambda_{1}$ , $\lambda_{2}$ and $\lambda_{3}$ are reversed.

The method is referenced by Frangi publication :

A.F.Frangi, W.J.Niessen, K.L.Vincken, M.A.Viergever, "Multiscale vessel enhancement filtering"
Lecture Notes in Computer Science(MICCAI), vol. 1496, pp. 130-137, 1998.

This filter provides output float grayscale image where each voxel intensity represents a structure score.

FILE FORMAT/DEFAULT

inEigenvaluesImage	NULL
lightness	BRIGHT
structureType	ROD
alpha	0.75f
beta	0.75f
noiseCutoff	0.5f

Library references: EigenvaluesToStructureness3d

Member Enumeration Documentation

enum SoEigenvaluesToStructurenessProcessing3d::Lightness

Enumerator:

BRIGHT	Extracts bright structures from dark background.
DARK	Extracts dark structures from bright background.

enum SoEigenvaluesToStructurenessProcessing3d::StructureType

Enumerator:

ROD	Extracts tubular structures.
BALL	Extracts blob-like structures.
PLANE	Extracts plate-like structures.

Constructor & Destructor Documentation

SoEigenvaluesToStructurenessProcessing3d::SoEigenvaluesToStructurenessProcessing3d ( )

Constructor.

Member Data Documentation

SoSFFloat SoEigenvaluesToStructurenessProcessing3d::alpha

Flatness sensitivity threshold.

It corresponds to the $\alpha$ term of the score equation. Default value is 0.75f.

SoSFFloat SoEigenvaluesToStructurenessProcessing3d::beta

Blobness sensitivity threshold.

It corresponds to the $\beta$ term of the score equation. Default value is 0.75f.

SoSFImageDataAdapter SoEigenvaluesToStructurenessProcessing3d::inEigenvaluesImage

Image containing input eigenvalues field.

Type must be float.

Spectral series size is 3:

channel 0 = largest Eigen value ( $\lambda_1$ ),
channel 1 = medium Eigen value ( $\lambda_2$ ).
channel 2 = smallest Eigen value ( $\lambda_3$ ). Default value is NULL. Supported types include: grayscale color image.

SoSFEnum SoEigenvaluesToStructurenessProcessing3d::lightness

The type of structure lightness to extract.

Use enum Lightness. Default is BRIGHT

SoSFFloat SoEigenvaluesToStructurenessProcessing3d::noiseCutoff

Noise scale factor.

It is used for computing the c term of the score equation. Default value is 0.5f.

SoImageVizEngineOutput<SoSFImageDataAdapter,SoImageDataAdapter*> SoEigenvaluesToStructurenessProcessing3d::outImage

Output image.

Size (except spectral series, only one), calibration, type and interpretation of the outImage image are forced to the same values as inEigenvaluesImage. All values are between 0 and 1. Default value is NULL. Supported types include: grayscale binary label color image.

SoSFEnum SoEigenvaluesToStructurenessProcessing3d::structureType

The type of structure lightness to extract.

Use enum StructureType. Default is ROD

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

ImageViz/Engines/EdgeDetection/EdgeMarking/SoEigenvaluesToStructurenessProcessing3d.h

SoEigenvaluesToStructurenessProcessing3d Class Reference [Edge Marking]

Public Types