Mean curvature of the longest shortest path between any two skeleton 2d verticies.

Skeleton 2d diameter leangth measure is based on skeleton 2d diameter measure (see [Concept] Skeleton 2d Diameter). This measure allows to compute mean curvature along skeleton diameter path.

Mean curvature is in this case defined for 3 consecutive points as the reciprocal of circle radius passing through these points :

$\kappa = \frac{1}{R}$

Here is an example of measure results for different skeleton 2d holes processing policy.

Mean curvature of the longest shortest path between any two skeleton 2d verticies

Measure synthesis :

Measure Type	Measure Unit Type	Parameter Type	Result Type	Shape Requirements
Generic	Custom	Skeleton2dDiameterMeanCurvatureMsrParams	Value (ipsdk::ipReal64)	Boundary Approximation

See Shape measurement for additional information on these pictograms

Example of Python code :

Generic example in 2d case :

import PyIPSDK

import PyIPSDK.IPSDKIPLShapeAnalysis as shapeanalysis

    # Create the infoset
    inMeasureInfoSet2d = PyIPSDK.createMeasureInfoSet2d(PyIPSDK.createGeometricCalibration2d(1,1,'px'))
    PyIPSDK.createMeasureInfo(inMeasureInfoSet2d, "Skeleton2dDiameterTortuosityMsr", shapeanalysis.createSkeleton2dDiameterTortuosityMsrParams(PyIPSDK.eSHP_Ignored))
    
    #Perform the analysis
    outMeasureSet = shapeanalysis.labelAnalysis2d(inGreyImg, inLabelImg2d, inMeasureInfoSet2d)
    
    # save results to csv format
    PyIPSDK.saveCsvMeasureFile(os.path.join(tmpPath,  "shape_analysis_results.csv"), outMeasureSet)
    
    # retrieve measure results
    outMsr = outMeasureSet.getMeasure("Skeleton2dDiameterTortuosityMsr")
    
    # retrieve measure values
    outMsrValues = outMsr.getMeasureResult().getColl(0)
    print("First label measurement equal " + str(outMsrValues[1]))

Example of C++ code :

Example informations

Associated library

IPSDKIPLShapeAnalysis

Code Example

    // opening grey level input image
    ImagePtr pInGreyImg2d = loadTiffImageFile(inputGreyImgPath);
    // read entity shape 2d collection used for processing
    Shape2dCollPtr pShape2dColl = boost::make_shared<Shape2dColl>();
    IPSDK_REQUIRE(readFromXmlFile(inputShape2dCollPath, *pShape2dColl) == true);
    // define a measure info set
    MeasureInfoSetPtr pMeasureInfoSet = MeasureInfoSet::create2dInstance();
    createMeasureInfo(pMeasureInfoSet, "Skeleton2dDiameterMeanCurvatureMsr", createSkeleton2dDiameterMeanCurvatureMsrParams(skeleton2dHolesPolicy));
    
    // compute measure on shape 2d collection
    MeasureSetPtr pOutMeasureSet = shapeAnalysis2d(pInGreyImg2d, pShape2dColl, pMeasureInfoSet);
    // retrieve associated results
    const MeasureConstPtr& pSkeleton2dDiameterMeanCurvatureOutMsr = pOutMeasureSet->getMeasure("Skeleton2dDiameterMeanCurvatureMsr");
    const ipsdk::shape::analysis::ValueMeasureResult<ipsdk::ipReal64>& outResults = static_cast<const ipsdk::shape::analysis::ValueMeasureResult<ipsdk::ipReal64>&>(pSkeleton2dDiameterMeanCurvatureOutMsr->getMeasureResult());