IPSDK  4_1_0_2
IPSDK : Image Processing Software Development Kit

Algorithm for image 3d dilation. More...

IPSDKIPLBASICMORPHOLOGY_API image::ImagePtr ipsdk::imaproc::morpho::dilate3dImg (const image::ImageConstPtr &pInImg3d, const StructuringElementXYZInfoConstPtr &pInSEXYZ)
 wrapper function for Algorithm for image 3d dilation More...
 
IPSDKIPLBASICMORPHOLOGY_API void ipsdk::imaproc::morpho::dilate3dImg (const image::ImageConstPtr &pInImg3d, const StructuringElementXYZInfoConstPtr &pInSEXYZ, const image::ImagePtr &pOutImg)
 wrapper function for Algorithm for image 3d dilation More...
 

Detailed Description

Algorithm for image 3d dilation.

Erosion and dilation are the two fundamental morphological operations.

These operations use a flat (with values in [0, 1]) structuring element combined to a Minkowski sum (in case of dilation) or subtraction (in case of erosion).

In dilation 3d case with an input image $ InImg3d $ and an input flat structuring element $ InSEXYZ $, Minkowski sum is given by :

\[ OutImg = InImg3d \oplus InSEXYZ = \left \{ (x, y, z) / InSEXYZ_{(x, y, z)} \cap InImg3d \neq \varnothing \right \} \]

with

\[ InSEXYZ_{(x, y, z)} = \left \{ (o_x + x, o_y + y, o_z + z) / (o_x, o_y, o_z) \in InSEXYZ \right \} \]

In binary cases, this equation can be reexpressed as :

\[ OutImg[x, y, z] = (InImg3d \oplus InSEXYZ)[x, y, z] = \bigcup_{(o_x, o_y, o_z) \in InSEXYZ} InImg3d[(x+o_x, y+o_y, z+o_z)] \]

In grayscale cases, this equation can be reexpressed as :

\[ OutImg[x, y, z] = (InImg3d \oplus InSEXYZ)[x, y, z] = \sup_{(o_x, o_y, o_z) \in InSEXYZ} InImg3d[(x+o_x, y+o_y, z+o_z)] \]

Note
Behavior of this algorithm is specialized using specific morphological structuring elements (see 3d structuring elements for more informations about these shapes).
Please refer to Usage for examples of usage of different types of specific structuring elements during morphological operations.

Here is an example of a dilation 3d extraction operation applied to a binary input image with a spherical structuring element with radius 3 :

genericDilate3dImg.png
See also
http://en.wikipedia.org/wiki/Dilation_%28morphology%29
Note
This algorithm is associated with a temporary working image ipsdk::imaproc::attr::OutOptWk1Img. This parameter is only used in special processing cases defined via ipsdk::imaproc::morpho::eSEProcessingCase enumerate. Such situation can be tested using ipsdk::imaproc::morpho::getSEProcessingCase function and associated image buffer type can be retrieved using ipsdk::imaproc::morpho::getSEWkImageBufferType. This working temporary image can be provided by user or will be automatically allocated when requested.

Attributes description

Attribute description for algorithm :

Name ToolTip Default Initializer
ipsdk::imaproc::attr::InImg3d [Input] 3d image for operation X
ipsdk::imaproc::attr::InSEXYZ [Input] structuring element xyz for processing operation X
ipsdk::imaproc::attr::OutOptWk1Img [Output Optional] Temporary working image for algorithm X
ipsdk::imaproc::attr::OutImg [Output] image for processing operation ipsdk::imaproc::duplicateInOut (_pOutImg, _pInImg3d)

Global Rule description

Global rule description for algorithm :
((ipsdk::imaproc::matchSizeAndType (_pInImg3d,_pOutImg)) && 
 (ipsdk::processor::ifIsSet (_pOutOptWk1Img,
   ipsdk::imaproc::customImageProperty (_pOutOptWk1Img,
    matchSEMorphology (_pInImg3d,_pInSEXYZ)))))

Example of Python code :

Example imports

import PyIPSDK
import PyIPSDK.IPSDKIPLBasicMorphology as morpho

Code Example

# opening of input image
inImg = PyIPSDK.loadTiffImageFile(inputImgPath)
# definition of used structuring element
inSE = PyIPSDK.sphericalSEXYZInfo(2)
# dilatation 3d image computation
outImg = morpho.dilate3dImg(inImg, inSE)

Example of C++ code :

Example informations

Associated library

IPSDKIPLBasicMorphology

Header file

Code Example

// create a 2x3x4 rectangular structuring element
// opening input image
ImagePtr pInImg = loadTiffImageFile(inputImgPath);
// compute dilation on input image
ImagePtr pOutImg = dilate3dImg(pInImg, pInSEXYZ);
See also
Dilate3dImgLvl1

Function Documentation

◆ dilate3dImg() [1/2]

IPSDKIPLBASICMORPHOLOGY_API image::ImagePtr ipsdk::imaproc::morpho::dilate3dImg ( const image::ImageConstPtr pInImg3d,
const StructuringElementXYZInfoConstPtr pInSEXYZ 
)

wrapper function for Algorithm for image 3d dilation

Exceptions
ipsdk::processor::IPSDKBaseProcessingExceptionon failure

◆ dilate3dImg() [2/2]

IPSDKIPLBASICMORPHOLOGY_API void ipsdk::imaproc::morpho::dilate3dImg ( const image::ImageConstPtr pInImg3d,
const StructuringElementXYZInfoConstPtr pInSEXYZ,
const image::ImagePtr pOutImg 
)

wrapper function for Algorithm for image 3d dilation

Exceptions
ipsdk::processor::IPSDKBaseProcessingExceptionon failure