3D Slicer Curve Annotation

stevenagl12 · September 16, 2022, 1:35pm

Can anyone tell me what the equation that is used for the curve annotation tool is to calculate the curvature for the mean and max curvature metrics?

lassoan · September 16, 2022, 2:05pm

You can find the computation in the vtkCurveMeasurementsCalculator filter source code:

github.com

Slicer/Slicer/blob/2551f9f58637de6baf714d48543a717da3ee7197/Modules/Loadable/Markups/MRML/vtkCurveMeasurementsCalculator.cxx#L226-L239


      
          diffVector[0] = currPoint[0]-prevPoint[0];
          diffVector[1] = currPoint[1]-prevPoint[1];
          diffVector[2] = currPoint[2]-prevPoint[2];
          diffNorm = sqrt(diffVector[0]*diffVector[0] + diffVector[1]*diffVector[1] + diffVector[2]*diffVector[2]);
          
          
normDiffVector[0] = diffVector[0] / diffNorm;
          normDiffVector[1] = diffVector[1] / diffNorm;
          normDiffVector[2] = diffVector[2] / diffNorm;
          
          
// Local curvature
          kappa = sqrt( (normDiffVector[0]-prevNormDiffVector[0])*(normDiffVector[0]-prevNormDiffVector[0])
                      + (normDiffVector[1]-prevNormDiffVector[1])*(normDiffVector[1]-prevNormDiffVector[1])
                      + (normDiffVector[2]-prevNormDiffVector[2])*(normDiffVector[2]-prevNormDiffVector[2]) )
                  / diffNorm;

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3D Slicer Curve Annotation

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