curv2Diso.h

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#ifndef AIMS_MATH_CURV2DISO_H
#define AIMS_MATH_CURV2DISO_H

#include <aims/data/fastAllocationData.h>

template <class T>
AimsData<float> AimsIsoIntensityCurvature2D(const AimsData<T> &mat);


template <class T> inline
AimsData<float> 
AimsIsoIntensityCurvature2D(const AimsData<T> &mat)
{ ASSERT(mat.dimZ()==1 && mat.dimT()==1);
  aims::AimsFastAllocationData<float> curv(mat.dimX(),mat.dimY(),1,1,mat.borderWidth());
  curv.fillBorder(0);
  curv = 0.0;
  curv.setSizeX(mat.sizeX());
  curv.setSizeY(mat.sizeY());
  float fx,fy,fxx,fyy,fxy;
  
  for (int y=2;y<mat.dimY()-2;y++)
    for (int x=2;x<mat.dimX()-2;x++)
    { if (mat(x-1,y)!=mat(x+1,y) || mat(x,y-1)!=mat(x,y+1))
      { fx  = ((float)mat(x+1,y) - (float)mat(x-1,y) ) / 2;
        fy  = ((float)mat(x,y+1) - (float)mat(x,y-1) ) / 2;
        fxx = ((float)mat(x+2,y) - 2 * (float)mat(x,y) + 
               (float)mat(x-2,y) ) / 4;
        fyy = ((float)mat(x,y+2) - 2 * (float)mat(x,y) + 
               (float)mat(x,y-2) ) / 4;
        fxy = ((float)mat(x+1,y+1) - 
               (float)mat(x-1,y+1) - 
               (float)mat(x+1,y-1) + 
               (float)mat(x-1,y-1) ) / 4;
        curv(x,y) = (- fxx*fy*fy + 2*fx*fy*fxy - fyy*fx*fx) / 
                     cube( sqrt(fx*fx + fy*fy) );
      }
      else curv(x,y) = 0;
    }
  return(curv);
}

#endif