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vigra/resampling_convolution.hxx |

    00001 /************************************************************************/
    00002 /*                                                                      */
    00003 /*               Copyright 1998-2004 by Ullrich Koethe                  */
    00004 /*                                                                      */
    00005 /*    This file is part of the VIGRA computer vision library.           */
    00006 /*    The VIGRA Website is                                              */
    00007 /*        http://hci.iwr.uni-heidelberg.de/vigra/                       */
    00008 /*    Please direct questions, bug reports, and contributions to        */
    00009 /*        ullrich.koethe@iwr.uni-heidelberg.de    or                    */
    00010 /*        vigra@informatik.uni-hamburg.de                               */
    00011 /*                                                                      */
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    00019 /*    conditions:                                                       */
    00020 /*                                                                      */
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    00023 /*    Software.                                                         */
    00024 /*                                                                      */
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    00033 /*                                                                      */
    00034 /************************************************************************/
    00035
    00036 #ifndef VIGRA_RESAMPLING_CONVOLUTION_HXX
    00037 #define VIGRA_RESAMPLING_CONVOLUTION_HXX
    00038
    00039 #include <cmath>
    00040 #include "stdimage.hxx"
    00041 #include "array_vector.hxx"
    00042 #include "rational.hxx"
    00043 #include "functortraits.hxx"
    00044 #include "functorexpression.hxx"
    00045 #include "transformimage.hxx"
    00046 #include "imagecontainer.hxx"
    00047
    00048 namespace vigra {
    00049
    00050 namespace resampling_detail
    00051 {
    00052
    00053 struct MapTargetToSourceCoordinate
    00054 {
    00055     MapTargetToSourceCoordinate(Rational<int> const & samplingRatio,
    00056                                 Rational<int> const & offset)
    00057     : a(samplingRatio.denominator()*offset.denominator()),
    00058       b(samplingRatio.numerator()*offset.numerator()),
    00059       c(samplingRatio.numerator()*offset.denominator())
    00060     {}
    00061
    00062 //        the following functions are more efficient realizations of:
    00063 //             rational_cast<T>(i / samplingRatio + offset);
    00064 //        we need efficiency because this may be called in the inner loop
    00065
    00066     int operator()(int i) const
    00067     {
    00068         return (i * a + b) / c;
    00069     }
    00070
    00071     double toDouble(int i) const
    00072     {
    00073         return double(i * a + b) / c;
    00074     }
    00075
    00076     Rational<int> toRational(int i) const
    00077     {
    00078         return Rational<int>(i * a + b, c);
    00079     }
    00080
    00081     bool isExpand2() const
    00082     {
    00083         return a == 1 && b == 0 && c == 2;
    00084     }
    00085
    00086     bool isReduce2() const
    00087     {
    00088         return a == 2 && b == 0 && c == 1;
    00089     }
    00090
    00091     int a, b, c;
    00092 };
    00093
    00094 } // namespace resampling_detail
    00095
    00096 template <>
    00097 class FunctorTraits<resampling_detail::MapTargetToSourceCoordinate>
    00098 : public FunctorTraitsBase<resampling_detail::MapTargetToSourceCoordinate>
    00099 {
    00100   public:
    00101     typedef VigraTrueType isUnaryFunctor;
    00102 };
    00103
    00104 template <class SrcIter, class SrcAcc,
    00105           class DestIter, class DestAcc,
    00106           class KernelArray>
    00107 void
    00108 resamplingExpandLine2(SrcIter s, SrcIter send, SrcAcc src,
    00109                        DestIter d, DestIter dend, DestAcc dest,
    00110                        KernelArray const & kernels)
    00111 {
    00112     typedef typename KernelArray::value_type Kernel;
    00113     typedef typename KernelArray::const_reference KernelRef;
    00114     typedef typename Kernel::const_iterator KernelIter;
    00115
    00116     typedef typename
    00117         PromoteTraits<typename SrcAcc::value_type, typename Kernel::value_type>::Promote
    00118         TmpType;
    00119
    00120     int wo = send - s;
    00121     int wn = dend - d;
    00122     int wo2 = 2*wo - 2;
    00123
    00124     int ileft = std::max(kernels[0].right(), kernels[1].right());
    00125     int iright = wo + std::min(kernels[0].left(), kernels[1].left()) - 1;
    00126     for(int i = 0; i < wn; ++i, ++d)
    00127     {
    00128         int is = i / 2;
    00129         KernelRef kernel = kernels[i & 1];
    00130         KernelIter k = kernel.center() + kernel.right();
    00131         TmpType sum = NumericTraits<TmpType>::zero();
    00132         if(is < ileft)
    00133         {
    00134             for(int m=is-kernel.right(); m <= is-kernel.left(); ++m, --k)
    00135             {
    00136                 int mm = (m < 0)
    00137                         ? -m
    00138                         : m;
    00139                 sum += *k * src(s, mm);
    00140             }
    00141         }
    00142         else if(is > iright)
    00143         {
    00144             for(int m=is-kernel.right(); m <= is-kernel.left(); ++m, --k)
    00145             {
    00146                 int mm =  (m >= wo)
    00147                             ? wo2 - m
    00148                             : m;
    00149                 sum += *k * src(s, mm);
    00150             }
    00151         }
    00152         else
    00153         {
    00154             SrcIter ss = s + is - kernel.right();
    00155             for(int m = 0; m < kernel.size(); ++m, --k, ++ss)
    00156             {
    00157                 sum += *k * src(ss);
    00158             }
    00159         }
    00160         dest.set(sum, d);
    00161     }
    00162 }
    00163
    00164 template <class SrcIter, class SrcAcc,
    00165           class DestIter, class DestAcc,
    00166           class KernelArray>
    00167 void
    00168 resamplingReduceLine2(SrcIter s, SrcIter send, SrcAcc src,
    00169                        DestIter d, DestIter dend, DestAcc dest,
    00170                        KernelArray const & kernels)
    00171 {
    00172     typedef typename KernelArray::value_type Kernel;
    00173     typedef typename KernelArray::const_reference KernelRef;
    00174     typedef typename Kernel::const_iterator KernelIter;
    00175
    00176     KernelRef kernel = kernels[0];
    00177     KernelIter kbegin = kernel.center() + kernel.right();
    00178
    00179     typedef typename
    00180         PromoteTraits<typename SrcAcc::value_type, typename Kernel::value_type>::Promote
    00181         TmpType;
    00182
    00183     int wo = send - s;
    00184     int wn = dend - d;
    00185     int wo2 = 2*wo - 2;
    00186
    00187     int ileft = kernel.right();
    00188     int iright = wo + kernel.left() - 1;
    00189     for(int i = 0; i < wn; ++i, ++d)
    00190     {
    00191         int is = 2 * i;
    00192         KernelIter k = kbegin;
    00193         TmpType sum = NumericTraits<TmpType>::zero();
    00194         if(is < ileft)
    00195         {
    00196             for(int m=is-kernel.right(); m <= is-kernel.left(); ++m, --k)
    00197             {
    00198                 int mm = (m < 0)
    00199                         ? -m
    00200                         : m;
    00201                 sum += *k * src(s, mm);
    00202             }
    00203         }
    00204         else if(is > iright)
    00205         {
    00206             for(int m=is-kernel.right(); m <= is-kernel.left(); ++m, --k)
    00207             {
    00208                 int mm =  (m >= wo)
    00209                             ? wo2 - m
    00210                             : m;
    00211                 sum += *k * src(s, mm);
    00212             }
    00213         }
    00214         else
    00215         {
    00216             SrcIter ss = s + is - kernel.right();
    00217             for(int m = 0; m < kernel.size(); ++m, --k, ++ss)
    00218             {
    00219                 sum += *k * src(ss);
    00220             }
    00221         }
    00222         dest.set(sum, d);
    00223     }
    00224 }
    00225
    00226 /** \addtogroup ResamplingConvolutionFilters Resampling Convolution Filters
    00227
    00228     These functions implement the convolution operation when the source and target images
    00229     have different sizes. This is realized by accessing a continuous kernel at the
    00230     appropriate non-integer positions. The technique is, for example, described in
    00231     D. Schumacher: <i>General Filtered Image Rescaling</i>, in: Graphics Gems III,
    00232     Academic Press, 1992.
    00233 */
    00234 //@{
    00235
    00236 /********************************************************/
    00237 /*                                                      */
    00238 /*                resamplingConvolveLine                */
    00239 /*                                                      */
    00240 /********************************************************/
    00241
    00242 /** \brief Performs a 1-dimensional resampling convolution of the source signal using the given
    00243     set of kernels.
    00244
    00245     This function is mainly used internally: It is called for each dimension of a
    00246     higher dimensional array in order to perform a separable resize operation.
    00247
    00248     <b> Declaration:</b>
    00249
    00250     <b>\#include</b> <vigra/resampling_convolution.hxx>
    00251
    00252     \code
    00253     namespace vigra {
    00254         template <class SrcIter, class SrcAcc,
    00255                   class DestIter, class DestAcc,
    00256                   class KernelArray,
    00257                   class Functor>
    00258         void
    00259         resamplingConvolveLine(SrcIter s, SrcIter send, SrcAcc src,
    00260                                DestIter d, DestIter dend, DestAcc dest,
    00261                                KernelArray const & kernels,
    00262                                Functor mapTargetToSourceCoordinate)
    00263     }
    00264     \endcode
    00265
    00266 */
    00267 doxygen_overloaded_function(template <...> void resamplingConvolveLine)
    00268
    00269 template <class SrcIter, class SrcAcc,
    00270           class DestIter, class DestAcc,
    00271           class KernelArray,
    00272           class Functor>
    00273 void
    00274 resamplingConvolveLine(SrcIter s, SrcIter send, SrcAcc src,
    00275                        DestIter d, DestIter dend, DestAcc dest,
    00276                        KernelArray const & kernels,
    00277                        Functor mapTargetToSourceCoordinate)
    00278 {
    00279     if(mapTargetToSourceCoordinate.isExpand2())
    00280     {
    00281         resamplingExpandLine2(s, send, src, d, dend, dest, kernels);
    00282         return;
    00283     }
    00284     if(mapTargetToSourceCoordinate.isReduce2())
    00285     {
    00286         resamplingReduceLine2(s, send, src, d, dend, dest, kernels);
    00287         return;
    00288     }
    00289
    00290     typedef typename
    00291         NumericTraits<typename SrcAcc::value_type>::RealPromote
    00292         TmpType;
    00293     typedef typename KernelArray::value_type Kernel;
    00294     typedef typename Kernel::const_iterator KernelIter;
    00295
    00296     int wo = send - s;
    00297     int wn = dend - d;
    00298     int wo2 = 2*wo - 2;
    00299
    00300     int i;
    00301     typename KernelArray::const_iterator kernel = kernels.begin();
    00302     for(i=0; i<wn; ++i, ++d, ++kernel)
    00303     {
    00304         // use the kernels periodically
    00305         if(kernel == kernels.end())
    00306             kernel = kernels.begin();
    00307
    00308         // calculate current target point into source location
    00309         int is = mapTargetToSourceCoordinate(i);
    00310
    00311         TmpType sum = NumericTraits<TmpType>::zero();
    00312
    00313         int lbound = is - kernel->right(),
    00314             hbound = is - kernel->left();
    00315
    00316         KernelIter k = kernel->center() + kernel->right();
    00317         if(lbound < 0 || hbound >= wo)
    00318         {
    00319             vigra_precondition(-lbound < wo && wo2 - hbound >= 0,
    00320                 "resamplingConvolveLine(): kernel or offset larger than image.");
    00321             for(int m=lbound; m <= hbound; ++m, --k)
    00322             {
    00323                 int mm = (m < 0) ?
    00324                             -m :
    00325                             (m >= wo) ?
    00326                                 wo2 - m :
    00327                                 m;
    00328                 sum = TmpType(sum + *k * src(s, mm));
    00329             }
    00330         }
    00331         else
    00332         {
    00333             SrcIter ss = s + lbound;
    00334             SrcIter ssend = s + hbound;
    00335
    00336             for(; ss <= ssend; ++ss, --k)
    00337             {
    00338                 sum = TmpType(sum + *k * src(ss));
    00339             }
    00340         }
    00341
    00342         dest.set(sum, d);
    00343     }
    00344 }
    00345
    00346 template <class Kernel, class MapCoordinate, class KernelArray>
    00347 void
    00348 createResamplingKernels(Kernel const & kernel,
    00349              MapCoordinate const & mapCoordinate, KernelArray & kernels)
    00350 {
    00351     for(unsigned int idest = 0; idest < kernels.size(); ++idest)
    00352     {
    00353         int isrc = mapCoordinate(idest);
    00354         double idsrc = mapCoordinate.toDouble(idest);
    00355         double offset = idsrc - isrc;
    00356         double radius = kernel.radius();
    00357         int left = int(ceil(-radius - offset));
    00358         int right = int(floor(radius - offset));
    00359         kernels[idest].initExplicitly(left, right);
    00360
    00361         double x = left + offset;
    00362         for(int i = left; i <= right; ++i, ++x)
    00363             kernels[idest][i] = kernel(x);
    00364         kernels[idest].normalize(1.0, kernel.derivativeOrder(), offset);
    00365     }
    00366 }
    00367
    00368 /** \brief Apply a resampling filter in the x-direction.
    00369
    00370     This function implements a convolution operation in x-direction
    00371     (i.e. applies a 1D filter to every row) where the width of the source
    00372     and destination images differ. This is typically used to avoid aliasing if
    00373     the image is scaled down, or to interpolate smoothly if the image is scaled up.
    00374     The target coordinates are transformed into source coordinates by
    00375
    00376     \code
    00377     xsource = (xtarget - offset) / samplingRatio
    00378     \endcode
    00379
    00380     The <tt>samplingRatio</tt> and <tt>offset</tt> must be given as \ref vigra::Rational
    00381     in order to avoid rounding errors in this transformation. It is required that for all
    00382     pixels of the target image, <tt>xsource</tt> remains within the range of the source
    00383     image (i.e. <tt>0 <= xsource <= sourceWidth-1</tt>. Since <tt>xsource</tt> is
    00384     in general not an integer, the <tt>kernel</tt> must be a functor that can be accessed at
    00385     arbitrary (<tt>double</tt>) coordinates. It must also provide a member function <tt>radius()</tt>
    00386     which specifies the support (non-zero interval) of the kernel. VIGRA already
    00387     provides a number of suitable functors, e.g. \ref vigra::Gaussian, \ref vigra::BSpline
    00388     \ref vigra::CatmullRomSpline, and \ref vigra::CoscotFunction. The function
    00389     \ref resizeImageSplineInterpolation() is implemented by means resamplingConvolveX() and
    00390     resamplingConvolveY().
    00391
    00392     <b> Declarations:</b>
    00393
    00394     pass arguments explicitly:
    00395     \code
    00396     namespace vigra {
    00397         template <class SrcIter, class SrcAcc,
    00398                   class DestIter, class DestAcc,
    00399                   class Kernel>
    00400         void
    00401         resamplingConvolveX(SrcIter sul, SrcIter slr, SrcAcc src,
    00402                             DestIter dul, DestIter dlr, DestAcc dest,
    00403                             Kernel const & kernel,
    00404                             Rational<int> const & samplingRatio, Rational<int> const & offset);
    00405     }
    00406     \endcode
    00407
    00408
    00409     use argument objects in conjunction with \ref ArgumentObjectFactories :
    00410     \code
    00411     namespace vigra {
    00412         template <class SrcIter, class SrcAcc,
    00413                   class DestIter, class DestAcc,
    00414                   class Kernel>
    00415         void
    00416         resamplingConvolveX(triple<SrcIter, SrcIter, SrcAcc> src,
    00417                             triple<DestIter, DestIter, DestAcc> dest,
    00418                             Kernel const & kernel,
    00419                             Rational<int> const & samplingRatio, Rational<int> const & offset);
    00420     }
    00421     \endcode
    00422
    00423     <b> Usage:</b>
    00424
    00425     <b>\#include</b> <vigra/resampling_convolution.hxx>
    00426
    00427
    00428     \code
    00429     Rational<int> ratio(2), offset(0);
    00430
    00431     FImage src(w,h),
    00432            dest(rational_cast<int>(ratio*w), h);
    00433
    00434     float sigma = 2.0;
    00435     Gaussian<float> smooth(sigma);
    00436     ...
    00437
    00438     // simultaneously enlarge and smooth source image
    00439     resamplingConvolveX(srcImageRange(src), destImageRange(dest),
    00440                         smooth, ratio, offset);
    00441     \endcode
    00442
    00443     <b> Required Interface:</b>
    00444
    00445     \code
    00446     Kernel kernel;
    00447     int kernelRadius = kernel.radius();
    00448     double x = ...;  // must be <= radius()
    00449     double value = kernel(x);
    00450     \endcode
    00451 */
    00452 doxygen_overloaded_function(template <...> void resamplingConvolveX)
    00453
    00454 template <class SrcIter, class SrcAcc,
    00455           class DestIter, class DestAcc,
    00456           class Kernel>
    00457 void
    00458 resamplingConvolveX(SrcIter sul, SrcIter slr, SrcAcc src,
    00459                     DestIter dul, DestIter dlr, DestAcc dest,
    00460                     Kernel const & kernel,
    00461                     Rational<int> const & samplingRatio, Rational<int> const & offset)
    00462 {
    00463     int wold = slr.x - sul.x;
    00464     int wnew = dlr.x - dul.x;
    00465
    00466     vigra_precondition(!samplingRatio.is_inf() && samplingRatio > 0,
    00467                 "resamplingConvolveX(): sampling ratio must be > 0 and < infinity");
    00468     vigra_precondition(!offset.is_inf(),
    00469                 "resamplingConvolveX(): offset must be < infinity");
    00470
    00471     int period = lcm(samplingRatio.numerator(), samplingRatio.denominator());
    00472     resampling_detail::MapTargetToSourceCoordinate mapCoordinate(samplingRatio, offset);
    00473
    00474     ArrayVector<Kernel1D<double> > kernels(period);
    00475
    00476     createResamplingKernels(kernel, mapCoordinate, kernels);
    00477
    00478     for(; sul.y < slr.y; ++sul.y, ++dul.y)
    00479     {
    00480         typename SrcIter::row_iterator sr = sul.rowIterator();
    00481         typename DestIter::row_iterator dr = dul.rowIterator();
    00482         resamplingConvolveLine(sr, sr+wold, src, dr, dr+wnew, dest,
    00483                                kernels, mapCoordinate);
    00484     }
    00485 }
    00486
    00487 template <class SrcIter, class SrcAcc,
    00488           class DestIter, class DestAcc,
    00489           class Kernel>
    00490 inline void
    00491 resamplingConvolveX(triple<SrcIter, SrcIter, SrcAcc> src,
    00492                     triple<DestIter, DestIter, DestAcc> dest,
    00493                     Kernel const & kernel,
    00494                     Rational<int> const & samplingRatio, Rational<int> const & offset)
    00495 {
    00496     resamplingConvolveX(src.first, src.second, src.third,
    00497                         dest.first, dest.second, dest.third,
    00498                         kernel, samplingRatio, offset);
    00499 }
    00500
    00501 /********************************************************/
    00502 /*                                                      */
    00503 /*                  resamplingConvolveY                 */
    00504 /*                                                      */
    00505 /********************************************************/
    00506
    00507 /** \brief Apply a resampling filter in the y-direction.
    00508
    00509     This function implements a convolution operation in y-direction
    00510     (i.e. applies a 1D filter to every column) where the height of the source
    00511     and destination images differ. This is typically used to avoid aliasing if
    00512     the image is scaled down, or to interpolate smoothly if the image is scaled up.
    00513     The target coordinates are transformed into source coordinates by
    00514
    00515     \code
    00516     ysource = (ytarget - offset) / samplingRatio
    00517     \endcode
    00518
    00519     The <tt>samplingRatio</tt> and <tt>offset</tt> must be given as \ref vigra::Rational
    00520     in order to avoid rounding errors in this transformation. It is required that for all
    00521     pixels of the target image, <tt>ysource</tt> remains within the range of the source
    00522     image (i.e. <tt>0 <= ysource <= sourceHeight-1</tt>. Since <tt>ysource</tt> is
    00523     in general not an integer, the <tt>kernel</tt> must be a functor that can be accessed at
    00524     arbitrary (<tt>double</tt>) coordinates. It must also provide a member function <tt>radius()</tt>
    00525     which specifies the support (non-zero interval) of the kernel. VIGRA already
    00526     provides a number of suitable functors, e.g. \ref vigra::Gaussian, \ref vigra::BSpline
    00527     \ref vigra::CatmullRomSpline, and \ref vigra::CoscotFunction. The function
    00528     \ref resizeImageSplineInterpolation() is implemented by means resamplingConvolveX() and
    00529     resamplingConvolveY().
    00530
    00531     <b> Declarations:</b>
    00532
    00533     pass arguments explicitly:
    00534     \code
    00535     namespace vigra {
    00536         template <class SrcIter, class SrcAcc,
    00537                   class DestIter, class DestAcc,
    00538                   class Kernel>
    00539         void
    00540         resamplingConvolveY(SrcIter sul, SrcIter slr, SrcAcc src,
    00541                             DestIter dul, DestIter dlr, DestAcc dest,
    00542                             Kernel const & kernel,
    00543                             Rational<int> const & samplingRatio, Rational<int> const & offset);
    00544     }
    00545     \endcode
    00546
    00547
    00548     use argument objects in conjunction with \ref ArgumentObjectFactories :
    00549     \code
    00550     namespace vigra {
    00551         template <class SrcIter, class SrcAcc,
    00552                   class DestIter, class DestAcc,
    00553                   class Kernel>
    00554         void
    00555         resamplingConvolveY(triple<SrcIter, SrcIter, SrcAcc> src,
    00556                             triple<DestIter, DestIter, DestAcc> dest,
    00557                             Kernel const & kernel,
    00558                             Rational<int> const & samplingRatio, Rational<int> const & offset);
    00559     }
    00560     \endcode
    00561
    00562     <b> Usage:</b>
    00563
    00564     <b>\#include</b> <vigra/resampling_convolution.hxx>
    00565
    00566
    00567     \code
    00568     Rational<int> ratio(2), offset(0);
    00569
    00570     FImage src(w,h),
    00571            dest(w, rational_cast<int>(ratio*h));
    00572
    00573     float sigma = 2.0;
    00574     Gaussian<float> smooth(sigma);
    00575     ...
    00576
    00577     // simultaneously enlarge and smooth source image
    00578     resamplingConvolveY(srcImageRange(src), destImageRange(dest),
    00579                         smooth, ratio, offset);
    00580     \endcode
    00581
    00582     <b> Required Interface:</b>
    00583
    00584     \code
    00585     Kernel kernel;
    00586     int kernelRadius = kernel.radius();
    00587     double y = ...;  // must be <= radius()
    00588     double value = kernel(y);
    00589     \endcode
    00590 */
    00591 doxygen_overloaded_function(template <...> void resamplingConvolveY)
    00592
    00593 template <class SrcIter, class SrcAcc,
    00594           class DestIter, class DestAcc,
    00595           class Kernel>
    00596 void
    00597 resamplingConvolveY(SrcIter sul, SrcIter slr, SrcAcc src,
    00598                     DestIter dul, DestIter dlr, DestAcc dest,
    00599                     Kernel const & kernel,
    00600                     Rational<int> const & samplingRatio, Rational<int> const & offset)
    00601 {
    00602     int hold = slr.y - sul.y;
    00603     int hnew = dlr.y - dul.y;
    00604
    00605     vigra_precondition(!samplingRatio.is_inf() && samplingRatio > 0,
    00606                 "resamplingConvolveY(): sampling ratio must be > 0 and < infinity");
    00607     vigra_precondition(!offset.is_inf(),
    00608                 "resamplingConvolveY(): offset must be < infinity");
    00609
    00610     int period = lcm(samplingRatio.numerator(), samplingRatio.denominator());
    00611
    00612     resampling_detail::MapTargetToSourceCoordinate mapCoordinate(samplingRatio, offset);
    00613
    00614     ArrayVector<Kernel1D<double> > kernels(period);
    00615
    00616     createResamplingKernels(kernel, mapCoordinate, kernels);
    00617
    00618     for(; sul.x < slr.x; ++sul.x, ++dul.x)
    00619     {
    00620         typename SrcIter::column_iterator sc = sul.columnIterator();
    00621         typename DestIter::column_iterator dc = dul.columnIterator();
    00622         resamplingConvolveLine(sc, sc+hold, src, dc, dc+hnew, dest,
    00623                                kernels, mapCoordinate);
    00624     }
    00625 }
    00626
    00627 template <class SrcIter, class SrcAcc,
    00628           class DestIter, class DestAcc,
    00629           class Kernel>
    00630 inline void
    00631 resamplingConvolveY(triple<SrcIter, SrcIter, SrcAcc> src,
    00632                     triple<DestIter, DestIter, DestAcc> dest,
    00633                     Kernel const & kernel,
    00634                     Rational<int> const & samplingRatio, Rational<int> const & offset)
    00635 {
    00636     resamplingConvolveY(src.first, src.second, src.third,
    00637                         dest.first, dest.second, dest.third,
    00638                         kernel, samplingRatio, offset);
    00639 }
    00640
    00641 /********************************************************/
    00642 /*                                                      */
    00643 /*               resamplingConvolveImage                */
    00644 /*                                                      */
    00645 /********************************************************/
    00646
    00647 /** \brief Apply two separable resampling filters successively, the first in x-direction,
    00648            the second in y-direction.
    00649
    00650     This function is a shorthand for the concatenation of a call to
    00651     \ref resamplingConvolveX() and \ref resamplingConvolveY()
    00652     with the given kernels. See there for detailed documentation.
    00653
    00654     <b> Declarations:</b>
    00655
    00656     pass arguments explicitly:
    00657     \code
    00658     namespace vigra {
    00659         template <class SrcIterator, class SrcAccessor,
    00660                   class DestIterator, class DestAccessor,
    00661                   class KernelX, class KernelY>
    00662         void resamplingConvolveImage(SrcIterator sul,SrcIterator slr, SrcAccessor src,
    00663                            DestIterator dul, DestIterator dlr, DestAccessor dest,
    00664                            KernelX const & kx,
    00665                            Rational<int> const & samplingRatioX, Rational<int> const & offsetX,
    00666                            KernelY const & ky,
    00667                            Rational<int> const & samplingRatioY, Rational<int> const & offsetY);
    00668     }
    00669     \endcode
    00670
    00671
    00672     use argument objects in conjunction with \ref ArgumentObjectFactories :
    00673     \code
    00674     namespace vigra {
    00675         template <class SrcIterator, class SrcAccessor,
    00676                   class DestIterator, class DestAccessor,
    00677                   class KernelX, class KernelY>
    00678         void
    00679         resamplingConvolveImage(triple<SrcIterator, SrcIterator, SrcAccessor> src,
    00680                            triple<DestIterator, DestIterator, DestAccessor> dest,
    00681                            KernelX const & kx,
    00682                            Rational<int> const & samplingRatioX, Rational<int> const & offsetX,
    00683                            KernelY const & ky,
    00684                            Rational<int> const & samplingRatioY, Rational<int> const & offsetY);
    00685     }
    00686     \endcode
    00687
    00688     <b> Usage:</b>
    00689
    00690     <b>\#include</b> <vigra/resampling_convolution.hxx>
    00691
    00692
    00693     \code
    00694     Rational<int> xratio(2), yratio(3), offset(0);
    00695
    00696     FImage src(w,h),
    00697            dest(rational_cast<int>(xratio*w), rational_cast<int>(yratio*h));
    00698
    00699     float sigma = 2.0;
    00700     Gaussian<float> smooth(sigma);
    00701     ...
    00702
    00703     // simultaneously enlarge and smooth source image
    00704     resamplingConvolveImage(srcImageRange(src), destImageRange(dest),
    00705                             smooth, xratio, offset,
    00706                             smooth, yratio, offset);
    00707
    00708     \endcode
    00709
    00710 */
    00711 doxygen_overloaded_function(template <...> void resamplingConvolveImage)
    00712
    00713 template <class SrcIterator, class SrcAccessor,
    00714           class DestIterator, class DestAccessor,
    00715           class KernelX, class KernelY>
    00716 void resamplingConvolveImage(SrcIterator sul,SrcIterator slr, SrcAccessor src,
    00717                    DestIterator dul, DestIterator dlr, DestAccessor dest,
    00718                    KernelX const & kx,
    00719                    Rational<int> const & samplingRatioX, Rational<int> const & offsetX,
    00720                    KernelY const & ky,
    00721                    Rational<int> const & samplingRatioY, Rational<int> const & offsetY)
    00722 {
    00723     typedef typename
    00724         NumericTraits<typename SrcAccessor::value_type>::RealPromote
    00725         TmpType;
    00726
    00727     BasicImage<TmpType> tmp(dlr.x - dul.x, slr.y - sul.y);
    00728
    00729     resamplingConvolveX(srcIterRange(sul, slr, src),
    00730                         destImageRange(tmp),
    00731                         kx, samplingRatioX, offsetX);
    00732     resamplingConvolveY(srcImageRange(tmp),
    00733                         destIterRange(dul, dlr, dest),
    00734                         ky, samplingRatioY, offsetY);
    00735 }
    00736
    00737 template <class SrcIterator, class SrcAccessor,
    00738           class DestIterator, class DestAccessor,
    00739           class KernelX, class KernelY>
    00740 inline void
    00741 resamplingConvolveImage(triple<SrcIterator, SrcIterator, SrcAccessor> src,
    00742                    triple<DestIterator, DestIterator, DestAccessor> dest,
    00743                    KernelX const & kx,
    00744                    Rational<int> const & samplingRatioX, Rational<int> const & offsetX,
    00745                    KernelY const & ky,
    00746                    Rational<int> const & samplingRatioY, Rational<int> const & offsetY)
    00747 {
    00748     resamplingConvolveImage(src.first, src.second, src.third,
    00749                             dest.first, dest.second, dest.third,
    00750                             kx, samplingRatioX, offsetX,
    00751                             ky, samplingRatioY, offsetY);
    00752 }
    00753
    00754 /** \brief Two-fold down-sampling for image pyramid construction.
    00755
    00756     Sorry, no \ref detailedDocumentation() available yet.
    00757
    00758     <b> Declarations:</b>
    00759
    00760     <b>\#include</b> <vigra/resampling_convolution.hxx><br>
    00761     Namespace: vigra
    00762
    00763     pass arguments explicitly:
    00764     \code
    00765     namespace vigra {
    00766         template <class SrcIterator, class SrcAccessor,
    00767                   class DestIterator, class DestAccessor>
    00768         void pyramidReduceBurtFilter(SrcIterator sul, SrcIterator slr, SrcAccessor src,
    00769                                      DestIterator dul, DestIterator dlr, DestAccessor dest,
    00770                                      double centerValue = 0.4);
    00771     }
    00772     \endcode
    00773
    00774     use argument objects in conjunction with \ref ArgumentObjectFactories :
    00775     \code
    00776     namespace vigra {
    00777         template <class SrcIterator, class SrcAccessor,
    00778                   class DestIterator, class DestAccessor>
    00779         void pyramidReduceBurtFilter(triple<SrcIterator, SrcIterator, SrcAccessor> src,
    00780                                      triple<DestIterator, DestIterator, DestAccessor> dest,
    00781                                      double centerValue = 0.4);
    00782     }
    00783     \endcode
    00784
    00785     use a \ref vigra::ImagePyramid :
    00786     \code
    00787     namespace vigra {
    00788         template <class Image, class Alloc>
    00789         void pyramidReduceBurtFilter(ImagePyramid<Image, Alloc> & pyramid, int fromLevel, int toLevel,
    00790                                      double centerValue = 0.4);
    00791     }
    00792     \endcode
    00793 */
    00794 doxygen_overloaded_function(template <...> void pyramidReduceBurtFilter)
    00795
    00796 template <class SrcIterator, class SrcAccessor,
    00797           class DestIterator, class DestAccessor>
    00798 void pyramidReduceBurtFilter(SrcIterator sul, SrcIterator slr, SrcAccessor src,
    00799                              DestIterator dul, DestIterator dlr, DestAccessor dest,
    00800                              double centerValue = 0.4)
    00801 {
    00802     vigra_precondition(0.25 <= centerValue && centerValue <= 0.5,
    00803              "pyramidReduceBurtFilter(): centerValue must be between 0.25 and 0.5.");
    00804
    00805     int wold = slr.x - sul.x;
    00806     int wnew = dlr.x - dul.x;
    00807     int hold = slr.y - sul.y;
    00808     int hnew = dlr.y - dul.y;
    00809
    00810     vigra_precondition(wnew == (wold + 1) / 2 && hnew == (hold + 1) / 2,
    00811        "pyramidReduceBurtFilter(): oldSize = ceil(newSize / 2) required.");
    00812
    00813     vigra_precondition(wnew == (wold + 1) / 2 && hnew == (hold + 1) / 2,
    00814        "pyramidReduceBurtFilter(): oldSize = ceil(newSize / 2) required.");
    00815
    00816     Rational<int> samplingRatio(1,2), offset(0);
    00817     resampling_detail::MapTargetToSourceCoordinate mapCoordinate(samplingRatio, offset);
    00818
    00819     ArrayVector<Kernel1D<double> > kernels(1);
    00820     kernels[0].initExplicitly(-2, 2) = 0.25 - centerValue / 2.0, 0.25, centerValue, 0.25, 0.25 - centerValue / 2.0;
    00821
    00822     typedef typename
    00823         NumericTraits<typename SrcAccessor::value_type>::RealPromote
    00824         TmpType;
    00825     typedef BasicImage<TmpType> TmpImage;
    00826     typedef typename TmpImage::traverser TmpIterator;
    00827
    00828     BasicImage<TmpType> tmp(wnew, hold);
    00829
    00830     TmpIterator tul = tmp.upperLeft();
    00831
    00832     for(; sul.y < slr.y; ++sul.y, ++tul.y)
    00833     {
    00834         typename SrcIterator::row_iterator sr = sul.rowIterator();
    00835         typename TmpIterator::row_iterator tr = tul.rowIterator();
    00836         // FIXME: replace with reduceLineBurtFilter()
    00837         resamplingConvolveLine(sr, sr+wold, src, tr, tr+wnew, tmp.accessor(),
    00838                                kernels, mapCoordinate);
    00839     }
    00840
    00841     tul  = tmp.upperLeft();
    00842
    00843     for(; dul.x < dlr.x; ++dul.x, ++tul.x)
    00844     {
    00845         typename DestIterator::column_iterator dc = dul.columnIterator();
    00846         typename TmpIterator::column_iterator tc = tul.columnIterator();
    00847         resamplingConvolveLine(tc, tc+hold, tmp.accessor(), dc, dc+hnew, dest,
    00848                                kernels, mapCoordinate);
    00849     }
    00850 }
    00851
    00852 template <class SrcIterator, class SrcAccessor,
    00853           class DestIterator, class DestAccessor>
    00854 inline
    00855 void pyramidReduceBurtFilter(triple<SrcIterator, SrcIterator, SrcAccessor> src,
    00856                              triple<DestIterator, DestIterator, DestAccessor> dest,
    00857                              double centerValue = 0.4)
    00858 {
    00859     pyramidReduceBurtFilter(src.first, src.second, src.third,
    00860                             dest.first, dest.second, dest.third, centerValue);
    00861 }
    00862
    00863 template <class Image, class Alloc>
    00864 inline
    00865 void pyramidReduceBurtFilter(ImagePyramid<Image, Alloc> & pyramid, int fromLevel, int toLevel,
    00866                              double centerValue = 0.4)
    00867 {
    00868     vigra_precondition(fromLevel  < toLevel,
    00869        "pyramidReduceBurtFilter(): fromLevel must be smaller than toLevel.");
    00870     vigra_precondition(pyramid.lowestLevel() <= fromLevel && toLevel <= pyramid.highestLevel(),
    00871        "pyramidReduceBurtFilter(): fromLevel and toLevel must be between the lowest and highest pyramid levels (inclusive).");
    00872
    00873     for(int i=fromLevel+1; i <= toLevel; ++i)
    00874         pyramidReduceBurtFilter(srcImageRange(pyramid[i-1]), destImageRange(pyramid[i]), centerValue);
    00875 }
    00876
    00877 /** \brief Two-fold up-sampling for image pyramid reconstruction.
    00878
    00879     Sorry, no \ref detailedDocumentation() available yet.
    00880
    00881     <b> Declarations:</b>
    00882
    00883     <b>\#include</b> <vigra/resampling_convolution.hxx><br>
    00884     Namespace: vigra
    00885
    00886     pass arguments explicitly:
    00887     \code
    00888     namespace vigra {
    00889         template <class SrcIterator, class SrcAccessor,
    00890                   class DestIterator, class DestAccessor>
    00891         void pyramidExpandBurtFilter(SrcIterator sul, SrcIterator slr, SrcAccessor src,
    00892                                      DestIterator dul, DestIterator dlr, DestAccessor dest,
    00893                                      double centerValue = 0.4);
    00894     }
    00895     \endcode
    00896
    00897
    00898     use argument objects in conjunction with \ref ArgumentObjectFactories :
    00899     \code
    00900     namespace vigra {
    00901         template <class SrcIterator, class SrcAccessor,
    00902                   class DestIterator, class DestAccessor>
    00903         void pyramidExpandBurtFilter(triple<SrcIterator, SrcIterator, SrcAccessor> src,
    00904                                      triple<DestIterator, DestIterator, DestAccessor> dest,
    00905                                      double centerValue = 0.4);
    00906     }
    00907     \endcode
    00908
    00909     use a \ref vigra::ImagePyramid :
    00910     \code
    00911     namespace vigra {
    00912         template <class Image, class Alloc>
    00913         void pyramidExpandBurtFilter(ImagePyramid<Image, Alloc> & pyramid, int fromLevel, int toLevel,
    00914                                      double centerValue = 0.4);
    00915     }
    00916     \endcode
    00917 */
    00918 doxygen_overloaded_function(template <...> void pyramidExpandBurtFilter)
    00919
    00920 template <class SrcIterator, class SrcAccessor,
    00921           class DestIterator, class DestAccessor>
    00922 void pyramidExpandBurtFilter(SrcIterator sul, SrcIterator slr, SrcAccessor src,
    00923                              DestIterator dul, DestIterator dlr, DestAccessor dest,
    00924                              double centerValue = 0.4)
    00925 {
    00926     vigra_precondition(0.25 <= centerValue && centerValue <= 0.5,
    00927              "pyramidExpandBurtFilter(): centerValue must be between 0.25 and 0.5.");
    00928
    00929     int wold = slr.x - sul.x;
    00930     int wnew = dlr.x - dul.x;
    00931     int hold = slr.y - sul.y;
    00932     int hnew = dlr.y - dul.y;
    00933
    00934     vigra_precondition(wold == (wnew + 1) / 2 && hold == (hnew + 1) / 2,
    00935        "pyramidExpandBurtFilter(): oldSize = ceil(newSize / 2) required.");
    00936
    00937     vigra_precondition(wold == (wnew + 1) / 2 && hold == (hnew + 1) / 2,
    00938        "pyramidExpandBurtFilter(): oldSize = ceil(newSize / 2) required.");
    00939
    00940     Rational<int> samplingRatio(2), offset(0);
    00941     resampling_detail::MapTargetToSourceCoordinate mapCoordinate(samplingRatio, offset);
    00942
    00943     ArrayVector<Kernel1D<double> > kernels(2);
    00944     kernels[0].initExplicitly(-1, 1) = 0.5 - centerValue, 2.0*centerValue, 0.5 - centerValue;
    00945     kernels[1].initExplicitly(-1, 0) = 0.5, 0.5;
    00946
    00947     typedef typename
    00948         NumericTraits<typename SrcAccessor::value_type>::RealPromote
    00949         TmpType;
    00950     typedef BasicImage<TmpType> TmpImage;
    00951     typedef typename TmpImage::traverser TmpIterator;
    00952
    00953     BasicImage<TmpType> tmp(wnew, hold);
    00954
    00955     TmpIterator tul = tmp.upperLeft();
    00956
    00957     for(; sul.y < slr.y; ++sul.y, ++tul.y)
    00958     {
    00959         typename SrcIterator::row_iterator sr = sul.rowIterator();
    00960         typename TmpIterator::row_iterator tr = tul.rowIterator();
    00961         // FIXME: replace with expandLineBurtFilter()
    00962         resamplingConvolveLine(sr, sr+wold, src, tr, tr+wnew, tmp.accessor(),
    00963                                kernels, mapCoordinate);
    00964     }
    00965
    00966     tul  = tmp.upperLeft();
    00967
    00968     for(; dul.x < dlr.x; ++dul.x, ++tul.x)
    00969     {
    00970         typename DestIterator::column_iterator dc = dul.columnIterator();
    00971         typename TmpIterator::column_iterator tc = tul.columnIterator();
    00972         resamplingConvolveLine(tc, tc+hold, tmp.accessor(), dc, dc+hnew, dest,
    00973                                kernels, mapCoordinate);
    00974     }
    00975 }
    00976
    00977 template <class SrcIterator, class SrcAccessor,
    00978           class DestIterator, class DestAccessor>
    00979 inline
    00980 void pyramidExpandBurtFilter(triple<SrcIterator, SrcIterator, SrcAccessor> src,
    00981                              triple<DestIterator, DestIterator, DestAccessor> dest,
    00982                              double centerValue = 0.4)
    00983 {
    00984     pyramidExpandBurtFilter(src.first, src.second, src.third,
    00985                             dest.first, dest.second, dest.third, centerValue);
    00986 }
    00987
    00988
    00989 template <class Image, class Alloc>
    00990 inline
    00991 void pyramidExpandBurtFilter(ImagePyramid<Image, Alloc> & pyramid, int fromLevel, int toLevel,
    00992                              double centerValue = 0.4)
    00993 {
    00994     vigra_precondition(fromLevel  > toLevel,
    00995        "pyramidExpandBurtFilter(): fromLevel must be larger than toLevel.");
    00996     vigra_precondition(pyramid.lowestLevel() <= toLevel && fromLevel <= pyramid.highestLevel(),
    00997        "pyramidExpandBurtFilter(): fromLevel and toLevel must be between the lowest and highest pyramid levels (inclusive).");
    00998
    00999     for(int i=fromLevel-1; i >= toLevel; --i)
    01000         pyramidExpandBurtFilter(srcImageRange(pyramid[i+1]), destImageRange(pyramid[i]), centerValue);
    01001 }
    01002
    01003 /** \brief Create a Laplacian pyramid.
    01004
    01005     Sorry, no \ref detailedDocumentation() available yet.
    01006
    01007     <b>\#include</b> <vigra/resampling_convolution.hxx><br>
    01008     Namespace: vigra
    01009 */
    01010 template <class Image, class Alloc>
    01011 inline
    01012 void pyramidReduceBurtLaplacian(ImagePyramid<Image, Alloc> & pyramid, int fromLevel, int toLevel,
    01013                              double centerValue = 0.4)
    01014 {
    01015     using namespace functor;
    01016
    01017     pyramidReduceBurtFilter(pyramid, fromLevel, toLevel, centerValue);
    01018     for(int i=fromLevel; i < toLevel; ++i)
    01019     {
    01020         typename ImagePyramid<Image, Alloc>::value_type tmpImage(pyramid[i].size());
    01021         pyramidExpandBurtFilter(srcImageRange(pyramid[i+1]), destImageRange(tmpImage), centerValue);
    01022         combineTwoImages(srcImageRange(tmpImage), srcImage(pyramid[i]), destImage(pyramid[i]),
    01023                        Arg1() - Arg2());
    01024     }
    01025 }
    01026
    01027 /** \brief Reconstruct a Laplacian pyramid.
    01028
    01029     Sorry, no \ref detailedDocumentation() available yet.
    01030
    01031     <b>\#include</b> <vigra/resampling_convolution.hxx><br>
    01032     Namespace: vigra
    01033 */
    01034 template <class Image, class Alloc>
    01035 inline
    01036 void pyramidExpandBurtLaplacian(ImagePyramid<Image, Alloc> & pyramid, int fromLevel, int toLevel,
    01037                                 double centerValue = 0.4)
    01038 {
    01039     using namespace functor;
    01040
    01041     vigra_precondition(fromLevel  > toLevel,
    01042        "pyramidExpandBurtLaplacian(): fromLevel must be larger than toLevel.");
    01043     vigra_precondition(pyramid.lowestLevel() <= toLevel && fromLevel <= pyramid.highestLevel(),
    01044        "pyramidExpandBurtLaplacian(): fromLevel and toLevel must be between the lowest and highest pyramid levels (inclusive).");
    01045
    01046     for(int i=fromLevel-1; i >= toLevel; --i)
    01047     {
    01048         typename ImagePyramid<Image, Alloc>::value_type tmpImage(pyramid[i].size());
    01049         pyramidExpandBurtFilter(srcImageRange(pyramid[i+1]), destImageRange(tmpImage), centerValue);
    01050         combineTwoImages(srcImageRange(tmpImage), srcImage(pyramid[i]), destImage(pyramid[i]),
    01051                        Arg1() - Arg2());
    01052     }
    01053 }
    01054
    01055 //@}
    01056
    01057 } // namespace vigra
    01058
    01059
    01060 #endif /* VIGRA_RESAMPLING_CONVOLUTION_HXX */

© Ullrich Köthe (ullrich.koethe@iwr.uni-heidelberg.de) Heidelberg Collaboratory for Image Processing, University of Heidelberg, Germany | html generated using doxygen and Python vigra 1.9.0 (Tue Nov 6 2012)