IPSDK 0.2
IPSDK : Image Processing Software Development Kit
Pearson colocalization mapping 2dSee full documentation
imagepearsonColocalization2dImg (inImg1,inImg2)

Detailed Description

builds the Pearson's colocalization map computing the Pearson correlation coefficient on each pixel

The Pearson colocalization, also known as Pearson correlation coefficient, is a linear correlation measure between the two input images InImg1 and InImg2. The result is a Real32 image where the intensity $OutRealImg[\textbf{x}]$ at the pixel at position $ \textbf{x} = \left[ x, y \right] $ is calculated with the following formula :

\[ OutRealImg[\textbf{x}] = \frac{ \left( InImg1[\textbf{x}] - \mu_1\right) \left( InImg2[\textbf{x}] - \mu_2\right)}{\sigma_1 \sigma_2} \]

Where $ \mu_i, i \in [1, 2]$ is the mean intensity of $InImg_i$ and $\sigma_i$ is its standard deviation.

Here is an example of Pearson colocalization mapping:

pearsonColocalizationMap2d.png
See also
https://en.wikipedia.org/wiki/Pearson_correlation_coefficient

Example of Python code :

Example imports

import PyIPSDK
import PyIPSDK.IPSDKIPLFiltering as filter

Code Example

# Sample with a generated output image
outAutoImg = filter.pearsonColocalization2dImg(inImg1, inImg2)
# Sample with a provided output image
outImg = PyIPSDK.createImage(PyIPSDK.eImageBufferType.eIBT_Real32, inImg1.getSizeX(), inImg1.getSizeY())
filter.pearsonColocalization2dImg(inImg1, inImg2, outImg)

Example of C++ code :

Example informations

Header file

#include <IPSDKIPL/IPSDKIPLFiltering/Processor/PearsonColocalization2dImg/PearsonColocalization2dImg.h>

Code Example

// Sample with a generated output image
// ------------------------------------
// compute the pearson colocalization
ImagePtr pAutoOutImg = pearsonColocalization2dImg(pInImg1, pInImg2);
// Sample with a provided output image
// -----------------------------------
// create output image
ImageGeometryPtr pOutputImageGeometry = geometry2d(eImageBufferType::eIBT_Real32, sizeX, sizeY);
boost::shared_ptr<MemoryImage> pOutImg(boost::make_shared<MemoryImage>());
pOutImg->init(*pOutputImageGeometry);
// compute addition of input images
pearsonColocalization2dImg(pInImg1, pInImg2, pOutImg);