SoImageCurvatureProcessing3d Class Reference
[Texture Filters]

SoImageCurvatureProcessing3d engine More...

#include <ImageViz/Engines/ImageFiltering/TextureFilters/SoImageCurvatureProcessing3d.h>

Inheritance diagram for SoImageCurvatureProcessing3d:

Public Member Functions
	SoImageCurvatureProcessing3d ()
Public Attributes
SoSFImageDataAdapter	inImage
SoSFImageDataAdapter	inMaskImage
SoSFFloat	standardDeviation
SoImageVizEngineOutput < SoSFImageDataAdapter, SoImageDataAdapter * >	outRealImageMax
SoImageVizEngineOutput < SoSFImageDataAdapter, SoImageDataAdapter * >	outRealImageMin

Detailed Description

SoImageCurvatureProcessing3d engine

The SoImageCurvatureProcessing3d engine computes local gray level 3D curvatures in image.

This engine computes for each voxel of an input image local texture curvature. Computed curvature(s) takes voxel size into account.

This engine computes local gray level 3D curvatures in image. Each voxel is then associated to two principal curvatures : $\kappa_{Max}$ and $\kappa_{Min}$ . The $\kappa_{Max}$ stands for maximal local curvature whereas $\kappa_{Min}$ stands for minimal curvature.

Curvature 3D: saddle point example (image: Eric Gaba)

Two important indicators can be extracted from these values :

Gaussian curvature : $K=\kappa_{Max} \times \kappa_{Min}$
Mean curvature : $H=\frac{1}{2}(\kappa_{Max} + \kappa_{Min})$

Gaussian curvature can be used to characterize local surface comportment :

If gaussian curvature is positive, both principal curvatures have same sign and local surface will be dome like (which mean that it is locally lying on one side of its tangent plane. In this case, a positive curvature stand for convex surface whereas a negative value stand for a concave surface.
If gaussian curvature is negative, principal curvatures have opposite signs and local surface will be saddle shaped (see figure above).
If gaussian curvature is null, surface will be locally parabolic like. If , surface profil will locally be valley like.