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/* */
/* Copyright 2012-2013 by Ullrich Koethe and Anna Kreshuk */
/* */
/* This file is part of the VIGRA computer vision library. */
/* The VIGRA Website is */
/* http://hci.iwr.uni-heidelberg.de/vigra/ */
/* Please direct questions, bug reports, and contributions to */
/* ullrich.koethe@iwr.uni-heidelberg.de or */
/* vigra@informatik.uni-hamburg.de */
/* */
/* Permission is hereby granted, free of charge, to any person */
/* obtaining a copy of this software and associated documentation */
/* files (the "Software"), to deal in the Software without */
/* restriction, including without limitation the rights to use, */
/* copy, modify, merge, publish, distribute, sublicense, and/or */
/* sell copies of the Software, and to permit persons to whom the */
/* Software is furnished to do so, subject to the following */
/* conditions: */
/* */
/* The above copyright notice and this permission notice shall be */
/* included in all copies or substantial portions of the */
/* Software. */
/* */
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND */
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/* */
/************************************************************************/
#ifndef VIGRA_INTEGRALIMAGE_HXX
#define VIGRA_INTEGRALIMAGE_HXX
#include <vigra/multi_array.hxx>
#include <vigra/multi_pointoperators.hxx>
#include <vigra/utilities.hxx>
#include <vigra/functorexpression.hxx>
namespace vigra {
template <unsigned int N, class T1, class S1, class T2, class S2, class FUNCTOR>
void
cumulativeSum(MultiArrayView<N, T1, S1> const & image,
MultiArrayView<N, T2, S2> out,
int axis,
FUNCTOR const & functor)
{
typedef typename MultiArrayShape<N>::type ShapeN;
ShapeN offset = ShapeN::unitVector(axis);
MultiCoordinateIterator<N> i(image.shape()),
end(i.getEndIterator());
for(; i != end; ++i)
{
if((*i)[axis] == 0)
{
out[*i] = functor(image[*i]);
}
else
{
out[*i] = functor(image[*i]) + out[*i - offset];
}
}
}
template <unsigned int N, class T1, class S1, class T2, class S2, class FUNCTOR>
void
integralMultiArrayImpl(MultiArrayView<N, T1, S1> const & array,
MultiArrayView<N, T2, S2> intarray,
FUNCTOR const & f)
{
vigra_precondition(array.shape() == intarray.shape(),
"integralMultiArray(): shape mismatch between input and output.");
cumulativeSum(array, intarray, 0, f);
for(int axis=1; axis < N; ++axis)
cumulativeSum(intarray, intarray, axis, functor::Identity());
}
template <class T1, class S1, class T2, class S2, class FUNCTOR>
void
integralMultiArrayImpl(MultiArrayView<2, T1, S1> const & image,
MultiArrayView<2, T2, S2> intimage,
FUNCTOR const & functor)
{
vigra_precondition(image.shape() == intimage.shape(),
"integralMultiArray(): shape mismatch between input and output.");
int width = image.shape(0);
int height = image.shape(1);
T2 s = T2();
for (int x=0; x<width; ++x)
{
s += functor(image(x, 0));
intimage(x, 0) = s;
}
for (int y=1; y<height; ++y)
{
s = T2();
for (int x=0; x<width; ++x)
{
s += functor(image(x, y));
intimage(x, y) = s + intimage(x, y-1);
}
}
}
template <class T1, class S1, class T2, class S2, class FUNCTOR>
void
integralMultiArrayImpl(MultiArrayView<3, T1, S1> const & volume,
MultiArrayView<3, T2, S2> intvolume,
FUNCTOR const & functor)
{
vigra_precondition(volume.shape() == intvolume.shape(),
"integralMultiArray(): shape mismatch between input and output.");
int nx = volume.shape(0);
int ny = volume.shape(1);
int nz = volume.shape(2);
//this vector will store s2(x, y-1) for all values of x
MultiArray<1, T2> s2_temp(nx);
T2 s1 = T2();
T2 s2 = T2();
for (int iy=0; iy<ny; ++iy)
{
s1 = T2();
for (int ix=0; ix<nx; ++ix)
{
s1 += functor(volume(ix, iy, 0));
s2 = s2_temp(ix) + s1;
s2_temp(ix) = s2;
intvolume(ix, iy, 0) = s2;
}
}
for (int iz=1; iz<nz; ++iz)
{
s2_temp = T2();
for (int iy=0; iy<ny; ++iy)
{
s1 = T2();
for (int ix=0; ix<nx; ++ix)
{
s1 += functor(volume(ix, iy, iz));
s2 = s2_temp(ix) + s1;
s2_temp(ix) = s2;
intvolume(ix, iy, iz) = s2 + intvolume(ix, iy, iz-1);
}
}
}
}
template <unsigned int N, class T1, class S1, class T2, class S2, class FUNCTOR>
inline void
integralMultiArray(MultiArrayView<N, T1, S1> const & array,
MultiArrayView<N, T2, S2> intarray,
FUNCTOR const & f)
{
integralMultiArrayImpl(array, intarray, f);
}
template <unsigned int N, class T1, class S1, class T2, class S2, class FUNCTOR>
inline void
integralMultiArray(MultiArrayView<N, Multiband<T1>, S1> const & array,
MultiArrayView<N, Multiband<T2>, S2> intarray,
FUNCTOR const & f)
{
for(int channel=0; channel < array.shape(N-1); ++channel)
integralMultiArrayImpl(array.bindOuter(channel), intarray.bindOuter(channel), f);
}
template <unsigned int N, class T1, class S1, class T2, class S2>
inline void
integralMultiArray(MultiArrayView<N, T1, S1> const & array,
MultiArrayView<N, T2, S2> intarray)
{
integralMultiArray(array, intarray, functor::Identity());
}
template <unsigned int N, class T1, class S1, class T2, class S2>
inline void
integralMultiArray(MultiArrayView<N, Multiband<T1>, S1> const & array,
MultiArrayView<N, Multiband<T2>, S2> intarray)
{
integralMultiArray(array, intarray, functor::Identity());
}
template <unsigned int N, class T1, class S1, class T2, class S2>
inline void
integralMultiArraySquared(MultiArrayView<N, T1, S1> const & array,
MultiArrayView<N, T2, S2> intarray)
{
using namespace functor;
integralMultiArray(array, intarray, sq(Arg1()));
}
template <unsigned int N, class T1, class S1, class T2, class S2>
inline void
integralMultiArraySquared(MultiArrayView<N, Multiband<T1>, S1> const & array,
MultiArrayView<N, Multiband<T2>, S2> intarray)
{
using namespace functor;
integralMultiArray(array, intarray, sq(Arg1()));
}
} // namespace vigra
#endif // VIGRA_INTEGRALIMAGE_HXX
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