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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

#define TPGAC_EPSILON 1e-5;

Source code

#ifndef __itkTPGACLevelSetImageFilter_h
#define __itkTPGACLevelSetImageFilter_h

#include "itkGeodesicActiveContourLevelSetImageFilter.h"

namespace itk {

template <class TInputImage, class TFeatureImage, class TOutputPixelType = float >
class ITK_EXPORT TPGACLevelSetImageFilter : public GeodesicActiveContourLevelSetImageFilter< TInputImage, TFeatureImage, TOutputPixelType>
{
public:
    typedef TPGACLevelSetImageFilter                                                                       Self;
    typedef GeodesicActiveContourLevelSetImageFilter<TInputImage, TFeatureImage, TOutputPixelType>         Superclass;
    typedef SmartPointer<Self>                                                                             Pointer;
    typedef SmartPointer<const Self>                                                                       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 <class TInputImage, class TFeatureImage, class TOutputType>
TPGACLevelSetImageFilter< TInputImage, TFeatureImage, TOutputType>
::TPGACLevelSetImageFilter()
    : GeodesicActiveContourLevelSetImageFilter<TInputImage, TFeatureImage, TOutputType>()
{
    // call parent constructor
}

template <class TInputImage, class TFeatureImage, class TOutputType>
void TPGACLevelSetImageFilter<TInputImage, TFeatureImage, TOutputType>
::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 <class TInputImage, class TFeatureImage, class TOutputType>
typename TPGACLevelSetImageFilter< TInputImage, TFeatureImage, TOutputType>::ValueType
TPGACLevelSetImageFilter<TInputImage, TFeatureImage, TOutputType>
::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 2022-07-23 at 16:40:07 -0600