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Libs/Image/itkTPGACLevelSetImageFilter.h

Namespaces

Name
itk

Classes

Name
class itk::TPGACLevelSetImageFilter

Defines

Name
TPGAC_EPSILON

Macros Documentation

define TPGAC_EPSILON

```cpp

define TPGAC_EPSILON 1e-5;

```

Source code

```cpp

ifndef __itkTPGACLevelSetImageFilter_h

define __itkTPGACLevelSetImageFilter_h

include "itkGeodesicActiveContourLevelSetImageFilter.h"

namespace itk {

template class ITK_EXPORT TPGACLevelSetImageFilter : public GeodesicActiveContourLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType> { public: typedef TPGACLevelSetImageFilter Self; typedef GeodesicActiveContourLevelSetImageFilter Superclass; typedef SmartPointer Pointer; typedef SmartPointer ConstPointer;

typedef TInputImage                                                           ImageType;
typedef typename ImageType::IndexType                                         IndexType;
typedef typename Superclass::TimeStepType                                     TimeStepType;

typedef typename Superclass::ValueType                                        ValueType;
typedef typename Superclass::OutputImageType                                  OutputImageType;
typedef typename Superclass::FeatureImageType                                 FeatureImageType;

itkNewMacro(Self);

itkTypeMacro(TPGACLevelSetImageFilter, GeodesicActiveContourLevelSetImageFilter);

protected: ~TPGACLevelSetImageFilter() {} TPGACLevelSetImageFilter();

virtual void PrintSelf(std::ostream &os, Indent indent) const;

TPGACLevelSetImageFilter(const Self &); // purposely not implemented
void operator=(const Self&); //purposely not implemented

inline virtual ValueType CalculateUpdateValue(const IndexType &idx, const TimeStepType &dt, const ValueType &value, const ValueType &change);

};

template TPGACLevelSetImageFilter< TInputImage, TFeatureImage, TOutputType> ::TPGACLevelSetImageFilter() : GeodesicActiveContourLevelSetImageFilter() { // call parent constructor }

template void TPGACLevelSetImageFilter ::PrintSelf(std::ostream &os, Indent indent) const { Superclass::PrintSelf(os, indent); }

// 6-neighbour table (including centre voxel, i.e. voxel 13) static int nbh6Table[27][6] = { {1, 3, 9, -1, -1, -1}, // 0 {0, 2, 4, 10, -1, -1}, // 1 {1, 5, 11, -1, -1, -1}, // 2 {0, 4, 6, 12, -1, -1}, // 3 {1, 3, 5, 7, 13, -1}, // 4 {2, 4, 8, 14, -1, -1}, // 5 {3, 7, 15, -1, -1, -1}, // 6 {4, 6, 8, 16, -1, -1}, // 7 {5, 7, 17, -1, -1, -1}, // 8 {0, 10, 12, 18, -1, -1}, // 9 {1, 9, 11, 13, 19, -1}, // 10 {2, 10, 14, 20, -1, -1}, // 11 {3, 9, 13, 15, 21, -1}, // 12 {4, 10, 12, 14, 16, 22}, // 13 {5, 11, 13, 17, 23, -1}, // 14 {6, 12, 16, 24, -1, -1}, // 15 {7, 13, 15, 17, 25, -1}, // 16 {8, 14, 16, 26, -1, -1}, // 17 {9, 19, 21, -1, -1, -1}, // 18 {10, 18, 20, 22, -1, -1}, // 19 {11, 19, 23, -1, -1, -1}, // 20 {12, 18, 22, 24, -1, -1}, // 21 {13, 19, 21, 23, 25, -1}, // 22 {14, 20, 22, 26, -1, -1}, // 23 {15, 21, 25, -1, -1, -1}, // 24 {16, 22, 24, 26, -1, -1}, // 25 {17, 23, 25, -1, -1, -1} // 26 };

// generated by gen26neighbourTable.py // includes the centre voxel static int nbh26Table[27][26] = { {1, 3, 4, 9, 10, 12, 13, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 0 {0, 2, 3, 4, 5, 9, 10, 11, 12, 13, 14, -1, -1,-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 1 {1, 4, 5, 10, 11, 13, 14, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 2 {0, 1, 4, 6, 7, 9, 10, 12, 13, 15, 16, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 3 {0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 4 {1, 2, 4, 7, 8, 10, 11, 13, 14, 16, 17, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 5 {3, 4, 7, 12, 13, 15, 16, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 6 {3, 4, 5, 6, 8, 12, 13, 14, 15, 16, 17, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 7 {4, 5, 7, 13, 14, 16, 17, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 8 {0, 1, 3, 4, 10, 12, 13, 18, 19, 21, 22, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 9 {0, 1, 2, 3, 4, 5, 9, 11, 12, 13, 14, 18, 19, 20, 21, 22, 23, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 10 {1, 2, 4, 5, 10, 13, 14, 19, 20, 22, 23, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 11 {0, 1, 3, 4, 6, 7, 9, 10, 13, 15, 16, 18, 19, 21, 22, 24, 25, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 12 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26}, // 13 {1, 2, 4, 5, 7, 8, 10, 11, 13, 16, 17, 19, 20, 22, 23, 25, 26, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 14 {3, 4, 6, 7, 12, 13, 16, 21, 22, 24, 25, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 15 {3, 4, 5, 6, 7, 8, 12, 13, 14, 15, 17, 21, 22, 23, 24, 25, 26, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 16 {4, 5, 7, 8, 13, 14, 16, 22, 23, 25, 26, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 17 {9, 10, 12, 13, 19, 21, 22, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 18 {9, 10, 11, 12, 13, 14, 18, 20, 21, 22, 23, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 19 {10, 11, 13, 14, 19, 22, 23, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 20 {9, 10, 12, 13, 15, 16, 18, 19, 22, 24, 25, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 21 {9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 22 {10, 11, 13, 14, 16, 17, 19, 20, 22, 25, 26, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 23 {12, 13, 15, 16, 21, 22, 25, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 24 {12, 13, 14, 15, 16, 17, 21, 22, 23, 24, 26, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}, // 25 {13, 14, 16, 17, 22, 23, 25, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1} // 26 };

static inline void fillLocal6Neighbours(int srcNbh, int dstNbh, int centre, int i0, int i1, int i2, int i3) { if (srcNbh[centre]) { dstNbh[centre] = 1;

    if (srcNbh[i0])
        dstNbh[i0] = 1;

    if (srcNbh[i1])
        dstNbh[i1] = 1;

    if (srcNbh[i2])
        dstNbh[i2] = 1;

    if (srcNbh[i3])
        dstNbh[i3] = 1;
}

}

static void label6Neighbours(int nbh, int nbhlabels, int *nbhv, int curlabel, int idx) { // needs good initial value int nbhIdx = 0;

// 6 neighbours max (also in the lookup table)
for (int i = 0; i < 6 && nbhIdx >= 0; i++)
{
    nbhIdx = nbh6Table[idx][i];
    // valid nbh index and the voxel exists and it hasn't been labeled
    // yet
    if (nbhIdx >= 0 && nbh[nbhIdx] && nbhlabels[nbhIdx] == 0)
    {
        // then label it
        nbhlabels[nbhIdx] = curlabel;
        // and record that it has been labeled, but needs to recursed
        // we only do this if V doesn't have a value yet
        if (nbhv[nbhIdx] == 0)
            nbhv[nbhIdx] = 1;
    }
}

}

static void label26Neighbours(int nbh, int nbhlabels, int *nbhv, int curlabel, int idx) { // needs good initial value int nbhIdx = 0;

// 26 neighbours max (also in the lookup table)
for (int i = 0; i < 26 && nbhIdx >= 0; i++)
{
    nbhIdx = nbh26Table[idx][i];
    // valid nbh index and the voxel exists and it hasn't been labeled
    // yet
    if (nbhIdx >= 0 && nbh[nbhIdx] && nbhlabels[nbhIdx] == 0)
    {
        // then label it
        nbhlabels[nbhIdx] = curlabel;
        // and record that it has been labeled, but needs to recursed
        // we only do this if V doesn't have a value yet
        if (nbhv[nbhIdx] == 0)
            nbhv[nbhIdx] = 1;
    }
}

}

static inline int connectedComponents(int nbh, int nbhLabels, void (labelNeighboursFunc)(int , int , int , int, int) ) { // create and init V struct int nbhV[27]; memset(nbhV, 0, 27 * sizeof(int));

int curlabel = 1, assignedlabel = 0;
for (int i = 0; i < 27; i++)
{
    // is there a voxel at this position, and has it not been labeled yet?
    if (nbh[i] && nbhLabels[i] == 0)
    {
        // ON voxel not labeled yet
        nbhLabels[i] = curlabel;
        // this is to keep track of how many labels we've actually USED
        assignedlabel = curlabel;
        // mark it as being labeled
        nbhV[i] = 1;

        // now recurse through n26v finding ALL voxels of curlabel
        // we continue doing this until there are no 1s, i.e. only
        // 2s (neighbours examined) and 0s (no connected labels)
        int onesFound;
        do
        {
            onesFound = 0;
            for (int j = 0; j < 27; j++)
            {
                if (nbhV[j] == 1)
                {
                    onesFound = 1;
                    // this will label 6-neighbours and also flag the fact
                    // that they're labeled by setting a '1' in n26v
                    // neighbours that are already 2 will be left alone

                    labelNeighboursFunc(nbh, nbhLabels, nbhV, curlabel, j);
                    // now all neighbours of voxel j have also been labeled
                    nbhV[j] = 2;
                }
            } // for (int j = 0 ...
        }
        while (onesFound);


        // if we find the next unlabeled thing, it has to be a new
        // component by definition
        curlabel++;

    } // if (n26nbh[i] && n26labels[i] == 0) ...
} // for (int i = 0; i < 27 ...

return assignedlabel;

}

// you could also use epsilon from the levelset function

define TPGAC_EPSILON 1e-5;

template typename TPGACLevelSetImageFilter< TInputImage, TFeatureImage, TOutputType>::ValueType TPGACLevelSetImageFilter ::CalculateUpdateValue(const IndexType &idx, const TimeStepType &dt, const ValueType &value, const ValueType &change) {

// * calculate new value
// * if new value has the same sign as current value, make the
// change
// * ELSE:
// * extract 3x3x3 neighbourhood of the current voxel
// * calculate N^2_6(x,X) and N^1_26(x,X')
// * count connected components (bail if more than 1)
// * if both 1, then x is simple point, allow change
// * if not (or bailed) x is not simple point
// * newValue = epsilon * sign(value) (epsilon small and positive)

ValueType temp_value = value + dt * change;

// sign is the same, we can return what we have
if (temp_value * value >= 0)
{
    return temp_value;
}

// create a 3x3x3 nbh iterator over the output image
Size<3> radius = {1,1,1};
NeighborhoodIterator<OutputImageType>
        nbhIterator(radius, this->GetOutput(),
                    this->GetOutput()->GetRequestedRegion());

// move the 3x3x3 nbh iterator over the current voxel
nbhIterator.SetLocation(idx);

// offset of centre pixel

//#define c 13

// transfer nbh to our interior/exterior nbh
int ieNbh[27];
for (int i = 0; i < 27; i++)
{
    if (nbhIterator.GetPixel(i) >= 0)
    {
        // interior / inside / foreground
        ieNbh[i] = 1;
    }
    else
    {
        // exterior / outside / background
        ieNbh[i] = 0;
    }
}

// N^2_6 == n26
// N^1_26 == n126

// now calculate N^2_6(interior) - we do this as straight-forward as
// possible for speed reasons
// first allocate and clear the nbh array
int n26nbh[27];
memset(n26nbh, 0, 27 * sizeof(int));


// if (ieNbh[4])
// {
// n26nbh[4] = 1;

// if (ieNbh[1]) n26nbh[1] = 1;
// if (ieNbh[3]) n26nbh[3] = 1;
// if (ieNbh[5]) n26nbh[5] = 1;
// if (ieNbh[7]) n26nbh[7] = 1;
// }


// then check the 6-neighbours of 4, i.e. 1, 3, 5, 7, but NOT the
// center voxel itself... that's explicitly excluded
fillLocal6Neighbours(ieNbh, n26nbh, 4, 1, 3, 5, 7);
fillLocal6Neighbours(ieNbh, n26nbh, 10, 1, 9, 11, 19);
fillLocal6Neighbours(ieNbh, n26nbh, 12, 3, 9, 15, 21);
fillLocal6Neighbours(ieNbh, n26nbh, 14, 5, 11, 17, 23);
fillLocal6Neighbours(ieNbh, n26nbh, 16, 7, 15, 17, 25);
fillLocal6Neighbours(ieNbh, n26nbh, 22, 19, 21, 23, 25);

// we should have a complete n^2_6(x,X) now...
// now determine number of connected components using
// fast method described in borgefors1997

int n26labels[27];
memset(n26labels, 0, 27 * sizeof(int));

int ncc6 = connectedComponents( n26nbh, n26labels, label6Neighbours);

if (ncc6 != 1)
{
    // already T6(x,X) != 1, so we bail with epsilon * sign of old
    // value... this saves us from the 26-neighbourhood background check
    if (value < 0)
    {
        return -1 * TPGAC_EPSILON;
    }
    else
    {
        return TPGAC_EPSILON;
    }
}

int n126nbh[27];
memset(n126nbh, 0, 27 * sizeof(int));

// we just invert ieNbh, because we're going to check the background
for (int i = 0; i < 27; i++)
{
    n126nbh[i] = ! ieNbh[i];
}

// the centre voxel is NEVER used
n126nbh[13] = 0;

int n126labels[27];
memset(n126labels, 0, 27 * sizeof(int));

int ncc26 = connectedComponents(n126nbh, n126labels, label26Neighbours);

if (ncc26 != 1)
{
    // T26(x,X') != 1, so we bail with epsilon * sign of old
    // value...
    if (value < 0)
    {
        return -1 * TPGAC_EPSILON;
    }
    else
    {
        return TPGAC_EPSILON;
    }
}

//    this means the voxel that is to be added is simple... we can just
//   return the new value
return temp_value;

}

} // end namespace itk

//#if ITK_MANUAL_INSTANTIATION //#include "itkTPGACLevelSetImageFilter.txx" //#endif

endif

```


Updated on 2026-03-31 at 16:02:11 +0000