SoCurvatureIntegralsQuantification3d Class Reference
[Global Measures]

ImageViz SoCurvatureIntegralsQuantification3d engine computes the integral of mean curvature and integral of total curvature. More...

#include <ImageViz/Engines/ImageAnalysis/GlobalMeasures/SoCurvatureIntegralsQuantification3d.h>

Inheritance diagram for SoCurvatureIntegralsQuantification3d:
SoImageVizEngine SoEngine SoFieldContainer SoBase SoRefCounter SoTypedObject

List of all members.

Classes

class  SbCurvatureIntegralsDetail
 Results details of curvature integrals. More...

Public Member Functions

 SoCurvatureIntegralsQuantification3d ()

Public Attributes

SoSFImageDataAdapter inImage
SoImageVizEngineAnalysisOutput
< SbCurvatureIntegralsDetail
outResult

Detailed Description

ImageViz SoCurvatureIntegralsQuantification3d engine computes the integral of mean curvature and integral of total curvature.

For an introduction, see section Analysis.

This engine computes the integral of mean curvature and integral of total curvature of objects in a binary image. Intuitively, "curvature" is the amount by which a geometric object deviates from being "flat".

This engine computes a local measure. It is obtained as the sum of measures in local 2x2x2 neighborhoods (a cube), for 13 planes associated with different normal directions and hitting three or four vertices of the cells (in the cubical lattice).

In the case of very elongated objects (needles or fibers) the integral of mean curvature $M$ can be used to measure the length $L$ of the object : $L=M/$

For convex object, the integral of mean curvature $M$ is (up to a constant) equivalent to the mean diameter, i.e.

$M=2\pi d ~~\mbox{where} ~~ d=\frac{1}{13}\left(\sum_{i=0}^13 d_i\right) $

The Euler number and the Integral of Total Curvature carry the same information about the object. They differ by the constant factor $4\pi$. If we consider a set X of the 3-dimensional space and $(X)$ being its Euler number then the integral total curvature of X will be : $K(X)=4(X)$.

For more information on Integral Curvatures you can refer to C .Lang, J. Ohser, R.Hilfer (1999) On the Analysis of Spatial Binary Images

FILE FORMAT/DEFAULT


Library references: integral_curvature


Constructor & Destructor Documentation

SoCurvatureIntegralsQuantification3d::SoCurvatureIntegralsQuantification3d (  ) 

Constructor.


Member Data Documentation

The input 3D binary image.

Default value is NULL. Supported types include: binary image.

The output measure result.

Default value is NULL.


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

Open Inventor Toolkit reference manual, generated on 12 Feb 2024
Copyright © Thermo Fisher Scientific All rights reserved.
http://www.openinventor.com/