olena-2.0-8-gfc1b111 Add Otsu's binarization implementation.

14 Oct 2011

* scribo/binarization/otsu.hh: New routine.

	* src/binarization/Makefile.am,
	* src/binarization/otsu.cc: New tool.

	* tests/binarization/Makefile.am,
	* tests/binarization/otsu.cc,
	* tests/binarization/otsu.ref.pbm: New test data.
---
 scribo/ChangeLog                                  |   13 ++
 scribo/scribo/binarization/otsu.hh                |  137 +++++++++++++++++++++
 scribo/src/binarization/Makefile.am               |   12 ++-
 scribo/src/binarization/{sauvola.cc => otsu.cc}   |   14 +--
 scribo/tests/binarization/Makefile.am             |    5 +-
 scribo/tests/binarization/{sauvola.cc => otsu.cc} |    6 +-
 scribo/tests/binarization/otsu.ref.pbm            |  Bin 0 -> 32884 bytes
 7 files changed, 170 insertions(+), 17 deletions(-)
 create mode 100644 scribo/scribo/binarization/otsu.hh
 copy scribo/src/binarization/{sauvola.cc => otsu.cc} (84%)
 copy scribo/tests/binarization/{sauvola.cc => otsu.cc} (90%)
 create mode 100644 scribo/tests/binarization/otsu.ref.pbm

diff --git a/scribo/ChangeLog b/scribo/ChangeLog
index 29d33f5..1962f38 100644
--- a/scribo/ChangeLog
+++ b/scribo/ChangeLog
@@ -1,3 +1,16 @@
+2011-10-14  Guillaume Lazzara  <z@lrde.epita.fr>
+
+	Add Otsu's binarization implementation.
+
+	* scribo/binarization/otsu.hh: New routine.
+
+	* src/binarization/Makefile.am,
+	* src/binarization/otsu.cc: New tool.
+
+	* tests/binarization/Makefile.am,
+	* tests/binarization/otsu.cc,
+	* tests/binarization/otsu.ref.pbm: New test data.
+
 2011-09-19  Guillaume Lazzara  <z@lrde.epita.fr>
 
 	Fix paths in the SCRIBO viewer.
diff --git a/scribo/scribo/binarization/otsu.hh b/scribo/scribo/binarization/otsu.hh
new file mode 100644
index 0000000..c96a207
--- /dev/null
+++ b/scribo/scribo/binarization/otsu.hh
@@ -0,0 +1,137 @@
+// Copyright (C) 2011 EPITA Research and Development Laboratory (LRDE)
+//
+// This file is part of Olena.
+//
+// Olena is free software: you can redistribute it and/or modify it under
+// the terms of the GNU General Public License as published by the Free
+// Software Foundation, version 2 of the License.
+//
+// Olena is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+// General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License
+// along with Olena.  If not, see <http://www.gnu.org/licenses/>.
+//
+// As a special exception, you may use this file as part of a free
+// software project without restriction.  Specifically, if other files
+// instantiate templates or use macros or inline functions from this
+// file, or you compile this file and link it with other files to produce
+// an executable, this file does not by itself cause the resulting
+// executable to be covered by the GNU General Public License.  This
+// exception does not however invalidate any other reasons why the
+// executable file might be covered by the GNU General Public License.
+
+#ifndef SCRIBO_BINARIZATION_OTSU_HH
+# define SCRIBO_BINARIZATION_OTSU_HH
+
+# include <mln/core/concept/image.hh>
+# include <mln/util/array.hh>
+# include <mln/geom/nsites.hh>
+# include <mln/geom/ncols.hh>
+# include <mln/geom/nrows.hh>
+# include <mln/histo/compute.hh>
+
+# include <scribo/binarization/global_threshold.hh>
+
+namespace scribo
+{
+
+  namespace binarization
+  {
+
+    using namespace mln;
+
+    /*! An implementation of Otsu's binarization algorithm.
+
+      It is based on Ocropus's implementation.
+      http://code.google.com/p/ocropus/
+
+      \param[in] input A gray-scale image.
+
+      \return A binary image. True for foreground, False for
+      background.
+     */
+    template <typename I>
+    mln_ch_value(I,bool)
+    otsu(const Image<I>& input);
+
+
+# ifndef MLN_INCLUDE_ONLY
+
+
+    template <typename I>
+    mln_ch_value(I,bool)
+    otsu(const Image<I>& input_)
+    {
+      trace::entering("scribo::binarization::otsu");
+
+      const I& input = exact(input_);
+      mln_precondition(input.is_valid());
+      mlc_is_a(mln_value(I), value::Scalar)::check();
+      // FIXME: Check that input value is gray level.
+
+      mln_value(I) maxval = mln_max(mln_value(I));
+      unsigned nsites = geom::nsites(input);
+
+      /* Histogram generation */
+      histo::array<mln_value(I)> hist = mln::histo::compute(input);
+
+
+      /* calculation of probability density */
+      util::array<double> pdf(hist.nvalues());  //probability distribution
+      for(int i = 0; i< maxval; ++i)
+	pdf[i] = (double)hist[i] / nsites;
+
+
+      util::array<double> cdf(hist.nvalues()); //cumulative probability distribution
+      util::array<double> myu(hist.nvalues()); // mean value for separation
+
+      /* cdf & myu generation */
+      cdf[0] = pdf[0];
+      myu[0] = 0.0;       /* 0.0 times prob[0] equals zero */
+
+      for(int i = 1; i < maxval; ++i)
+      {
+	cdf[i] = cdf[i-1] + pdf[i];
+	myu[i] = myu[i-1] + i*pdf[i];
+      }
+
+      /* sigma maximization
+	 sigma stands for inter-class variance
+	 and determines optimal threshold value */
+      int threshold = 0;
+      double max_sigma = 0.0;
+      util::array<double> sigma(hist.nvalues()); // inter-class variance
+
+      for(int i = 0; i < maxval - 1; ++i)
+      {
+	if(cdf[i] != 0.0 && cdf[i] != 1.0)
+	{
+	  double p1p2 = cdf[i] * (1.0 - cdf[i]);
+	  double mu1mu2diff = myu[maxval - 1] * cdf[i] - myu[i];
+	  sigma[i] = mu1mu2diff * mu1mu2diff / p1p2;
+	}
+	else
+	  sigma[i] = 0.0;
+	if(sigma[i] > max_sigma)
+	{
+	  max_sigma = sigma[i];
+	  threshold = i;
+	}
+      }
+
+      // Computing final result.
+      mln_ch_value(I,bool) output = global_threshold(input, threshold);
+
+      return output;
+    }
+
+# endif // ! MLN_INCLUDE_ONLY
+
+  } // end of namespace scribo::binarization
+
+} // end of namespace scribo
+
+#endif // ! SCRIBO_BINARIZATION_OTSU_HH
diff --git a/scribo/src/binarization/Makefile.am b/scribo/src/binarization/Makefile.am
index 557a30a..fc96572 100644
--- a/scribo/src/binarization/Makefile.am
+++ b/scribo/src/binarization/Makefile.am
@@ -1,5 +1,5 @@
-# Copyright (C) 2009, 2010 EPITA Research and Development Laboratory
-# (LRDE).
+# Copyright (C) 2009, 2010, 2011 EPITA Research and Development
+# Laboratory (LRDE).
 #
 # This file is part of Olena.
 #
@@ -45,12 +45,20 @@ if HAVE_MAGICKXX
    sauvola_ms_debug
 
   utilexec_PROGRAMS =                   \
+   otsu					\
    sauvola 				\
    sauvola_ms                           \
    sauvola_ms_fg 			\
    sauvola_ms_split
 
 
+
+  otsu_SOURCES  = otsu.cc
+  otsu_CPPFLAGS = $(AM_CPPFLAGS) 		\
+		  $(MAGICKXX_CPPFLAGS)
+  otsu_LDFLAGS  = $(AM_LDFLAGS) 		\
+		  $(MAGICKXX_LDFLAGS)
+
   sauvola_ms_fg_SOURCES  = sauvola_ms_fg.cc
   sauvola_ms_fg_CPPFLAGS = $(AM_CPPFLAGS) 	\
 			   $(MAGICKXX_CPPFLAGS)
diff --git a/scribo/src/binarization/sauvola.cc b/scribo/src/binarization/otsu.cc
similarity index 84%
copy from scribo/src/binarization/sauvola.cc
copy to scribo/src/binarization/otsu.cc
index 518937b..7673363 100644
--- a/scribo/src/binarization/sauvola.cc
+++ b/scribo/src/binarization/otsu.cc
@@ -1,5 +1,4 @@
-// Copyright (C) 2009, 2010, 2011 EPITA Research and Development
-// Laboratory (LRDE)
+// Copyright (C) 2011 EPITA Research and Development Laboratory (LRDE)
 //
 // This file is part of Olena.
 //
@@ -31,7 +30,7 @@
 #include <mln/data/transform.hh>
 #include <mln/fun/v2v/rgb_to_luma.hh>
 
-#include <scribo/binarization/sauvola.hh>
+#include <scribo/binarization/otsu.hh>
 #include <scribo/debug/option_parser.hh>
 #include <scribo/debug/logger.hh>
 
@@ -57,9 +56,7 @@ static const scribo::debug::opt_data opt_desc[] =
   // name, description, arguments, check args function, number of args, default arg
   { "debug-prefix", "Enable debug image outputs. Prefix image name with that "
     "given prefix.", "<prefix>", 0, 1, 0 },
-  { "k", "Sauvola's formulae parameter", "<value>", 0, 1, "0.34" },
   { "verbose", "Enable verbose mode", 0, 0, 0, 0 },
-  { "win-size", "Window size", "<size>", 0, 1, "101" },
   {0, 0, 0, 0, 0, 0}
 };
 
@@ -86,11 +83,6 @@ int main(int argc, char *argv[])
   trace::entering("main");
 
   bool verbose = options.is_set("verbose");
-  unsigned w = atoi(options.opt_value("win-size").c_str());
-  double k = atof(options.opt_value("k").c_str());
-
-  if (verbose)
-    std::cout << "Using w=" << w << " and k=" << k << std::endl;
 
   image2d<value::rgb8> input;
   io::magick::load(input, options.arg("input.*"));
@@ -99,7 +91,7 @@ int main(int argc, char *argv[])
   image2d<value::int_u8>
     input_1_gl = data::transform(input, mln::fun::v2v::rgb_to_luma<value::int_u8>());
 
-  image2d<bool> out = scribo::binarization::sauvola(input_1_gl, w, k);
+  image2d<bool> out = scribo::binarization::otsu(input_1_gl);
 
   io::pbm::save(out, options.arg("output.pbm"));
 
diff --git a/scribo/tests/binarization/Makefile.am b/scribo/tests/binarization/Makefile.am
index a23d125..b8ab2d9 100644
--- a/scribo/tests/binarization/Makefile.am
+++ b/scribo/tests/binarization/Makefile.am
@@ -22,17 +22,20 @@ include $(top_srcdir)/scribo/tests/tests.mk
 
 EXTRA_DIST = 					\
   sauvola_ms.ref.pbm				\
-  sauvola.ref.pbm
+  sauvola.ref.pbm				\
+  otsu.ref.pbm
 
 check_PROGRAMS =				\
   global_threshold 				\
   local_threshold	 			\
+  otsu						\
   sauvola 					\
   sauvola_ms
 
 
 global_threshold_SOURCES = global_threshold.cc
 local_threshold_SOURCES = local_threshold.cc
+otsu_SOURCES = otsu.cc
 sauvola_SOURCES = sauvola.cc
 sauvola_ms_SOURCES = sauvola_ms.cc
 
diff --git a/scribo/tests/binarization/sauvola.cc b/scribo/tests/binarization/otsu.cc
similarity index 90%
copy from scribo/tests/binarization/sauvola.cc
copy to scribo/tests/binarization/otsu.cc
index 33eb59f..fd4c7f2 100644
--- a/scribo/tests/binarization/sauvola.cc
+++ b/scribo/tests/binarization/otsu.cc
@@ -32,7 +32,7 @@
 #include <mln/io/pbm/load.hh>
 #include <mln/io/pbm/save.hh>
 
-#include <scribo/binarization/sauvola.hh>
+#include <scribo/binarization/otsu.hh>
 
 #include "tests/data.hh"
 
@@ -43,10 +43,10 @@ int main()
   image2d<value::int_u8> input;
   io::pgm::load(input, MILENA_IMG_DIR "/lena.pgm");
 
-  image2d<bool> bin = scribo::binarization::sauvola(input, 101);
+  image2d<bool> bin = scribo::binarization::otsu(input);
 
   image2d<bool> ref;
-  io::pbm::load(ref, SCRIBO_TESTS_DIR "binarization/sauvola.ref.pbm");
+  io::pbm::load(ref, SCRIBO_TESTS_DIR "binarization/otsu.ref.pbm");
 
   mln_assertion(bin == ref);
 }
diff --git a/scribo/tests/binarization/otsu.ref.pbm b/scribo/tests/binarization/otsu.ref.pbm
new file mode 100644
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-- 
1.7.2.5

    

Guillaume Lazzara

tags

participants (1)