Add affine transformation in the geometry transformation module

ChangeLog.md

@@ -2,8 +2,6 @@
 
 ## New features / critical changes
 
-## Changes
-
 ## Bug fixes
 
 - *General*
@@ -40,6 +38,8 @@
   - New VoronoiMapComplete class to store the full Voronoi map (with
     all co-cycling sites (Robin Lamy, David Coeurjolly, Isabelle
     Sivignon [#1605](https://github.com/DGtal-team/DGtal/pull/1605))
+  - Add Affine Transformation in the geometry transformation module 
+    (Phuc Ngo,[#1571](https://github.com/DGtal-team/DGtal/pull/1571))    
 
 - *DEC*
   - New discrete differential operators on polygonal meshes have been

examples/images/CMakeLists.txt

@@ -18,6 +18,7 @@ set(DGTAL_EXAMPLES_SRC
   exampleRigidtransformation3d
   exampleArrayImageAdapter
   exampleConstImageFunctorHolder
+  exampleAffinetransformation2d
 )
 
 if( WITH_HDF5 )

examples/images/exampleAffinetransformation2d.cpp

@@ -0,0 +1,109 @@
+/**
+ *  This program is free software: you can redistribute it and/or modify
+ *  it under the terms of the GNU Lesser General Public License as
+ *  published by the Free Software Foundation, either version 3 of the
+ *  License, or  (at your option) any later version.
+ *
+ *  This program 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 this program.  If not, see <http://www.gnu.org/licenses/>.
+ *
+ **/
+
+/**
+ * @file images/exampleAffinetransformation2d.cpp
+ * @ingroup Examples
+ * @author Phuc Ngo (\c [email protected] )
+ * Laboratoire Lorrain de Recherche en Informatique et ses Applications (LORIA), France
+ *
+ * @date 12/05/2021
+ *
+ * An example file named affinetransformation2d.
+ *
+ * This file is part of the DGtal library.
+ */
+
+/**
+*  Example of 2D affine transformation using forward and backward models.
+   @see @ref moduleGeometricTransform
+   \image html church_AffineBackward.png "Result for backward model" 
+*  \example images/exampleAffinetransformation2d.cpp
+**/
+
+///////////////////////////////////////////////////////////////////////////////
+#include <iostream>
+#include <cmath>
+#include "DGtal/images/ImageSelector.h"
+#include "DGtal/images/ImageContainerBySTLVector.h"
+#include "DGtal/images/ConstImageAdapter.h"
+#include "ConfigExamples.h"
+#include "DGtal/helpers/StdDefs.h"
+#include "DGtal/base/Common.h"
+#include "DGtal/io/readers/PGMReader.h"
+#include "DGtal/io/writers/GenericWriter.h"
+//! [include]
+#include "DGtal/images/AffineTransformation2D.h"
+//! [include]
+///////////////////////////////////////////////////////////////////////////////
+
+using namespace std;
+using namespace DGtal;
+using namespace functors;
+using namespace Z2i;
+
+int main( int , char** )
+{
+    typedef ImageSelector<Domain, unsigned char >::Type Image;
+    //! [def]
+    typedef ForwardAffineTransformation2D < Space > ForwardTrans;
+    typedef BackwardAffineTransformation2D < Space > BackwardTrans;
+    typedef DomainGeometricTransformation2D < Domain, ForwardTrans > MyDomainTransformer;
+    typedef MyDomainTransformer::Bounds Bounds;
+    //! [def]
+    trace.beginBlock ( "Example AffineTransformation2d" );
+    //! [trans]
+    ForwardTrans forwardTrans(1.2, -1, 1.6, 2, RealPoint ( 5, 5 ));
+    BackwardTrans backwardTrans(1.2, -1, 1.6, 2, RealPoint ( 5, 5 ));
+    //! [trans]
+    //![init_domain_helper]
+    MyDomainTransformer domainTransformer ( forwardTrans );
+
+    Image image = PGMReader<Image>::importPGM ( "../church-small.pgm" );
+    //! [domain]
+    Bounds bounds = domainTransformer ( image.domain() );
+    Domain transformedDomain ( bounds.first, bounds.second );
+    //! [domain]
+
+    trace.beginBlock ( "Backward - Eulerian model" );
+    //! [backward]
+    //![init_domain_helper]
+    Image backwardTransformedImage ( transformedDomain );
+    for ( Domain::ConstIterator it = backwardTransformedImage.domain().begin(); it != backwardTransformedImage.domain().end(); ++it )
+    {
+        Point p = backwardTrans ( *it );
+        if(image.domain().isInside(p))
+            backwardTransformedImage.setValue ( *it, image(backwardTrans ( *it )) );
+    }
+    backwardTransformedImage >> "backward_transform.pgm";
+    //! [backward]
+    trace.endBlock();
+
+    trace.beginBlock( "Forward - Lagrangian model" );
+    Image forwardTransformedImage ( transformedDomain );
+    //! [forward]
+    for ( Domain::ConstIterator it = image.domain().begin(); it != image.domain().end(); ++it )
+    {
+        forwardTransformedImage.setValue ( forwardTrans ( *it ),  image (*it)) ;
+    }
+    forwardTransformedImage >> "forward_transform.pgm";
+    //! [forward]
+    trace.endBlock();
+    trace.endBlock();
+    return 0;
+}
+//                                                                           //
+///////////////////////////////////////////////////////////////////////////////

src/DGtal/images/AffineTransformation2D.h

@@ -0,0 +1,211 @@
+/**
+ *  This program is free software: you can redistribute it and/or modify
+ *  it under the terms of the GNU Lesser General Public License as
+ *  published by the Free Software Foundation, either version 3 of the
+ *  License, or  (at your option) any later version.
+ *
+ *  This program 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 this program.  If not, see <http://www.gnu.org/licenses/>.
+ *
+ **/
+
+#pragma once
+
+/**
+ * @file AffineTransformation2D.h
+ * @author Phuc Ngo (\c [email protected] )
+ * Laboratoire Lorrain de Recherche en Informatique et ses Applications (LORIA), France
+ *
+ * @date 01/05/2021
+ *
+ * This file is part of the DGtal library.
+ */
+
+#if defined(AffineTransformation2D_RECURSES)
+#error Recursive header files inclusion detected in AffineTransformation2D.h
+#else // defined(AffineTransformation2D_RECURSES)
+/** Prevents recursive inclusion of headers. */
+#define AffineTransformation2D_RECURSES
+
+#if !defined AffineTransformation2D_h
+/** Prevents repeated inclusion of headers. */
+#define AffineTransformation2D_h
+
+//////////////////////////////////////////////////////////////////////////////
+// Inclusions
+#include <iostream>
+#include <cmath>
+#include <climits>
+#include <utility>
+#include "DGtal/base/Common.h"
+#include "DGtal/kernel/BasicPointFunctors.h"
+#include <DGtal/helpers/StdDefs.h>
+#include <DGtal/kernel/domains/CDomain.h>
+#include <DGtal/kernel/CSpace.h>
+#include "DGtal/images/ImageSelector.h"
+#include "DGtal/images/GeometricTransformation2D.h"
+//////////////////////////////////////////////////////////////////////////////
+
+namespace DGtal
+{
+namespace functors
+{
+/////////////////////////////////////////////////////////////////////////////
+// Template class ForwardAffineTransformation2D
+/**
+     * Description of template functor like class 'ForwardAffineTransformation2D' <p>
+     * \brief Aim: implements forward rigid transformation of point in the 2D integer space.
+     * Warring: This version uses closest neighbor interpolation.
+     *
+     * @tparam TSpace a 2 dimensional space.
+     * @tparam TInputValue type of the input point e.g., TSpace::RealPoint
+     * @tparam TOutputValue type of the output point e.g., TSpace::Point
+     * @tparam TFunctor a functor operating on the output e.g., a rounding function.
+     *
+     * @see exampleAffineTransformation3d.cpp
+     */
+template < typename TSpace, typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point,
+           typename TFunctor = VectorRounding < TInputValue, TOutputValue > >
+class ForwardAffineTransformation2D : public GeometricTransformation2D <TSpace,TInputValue,TOutputValue,TFunctor>
+{
+    ///Checking concepts
+    BOOST_CONCEPT_ASSERT(( concepts::CSpace<TSpace> ));
+    BOOST_STATIC_ASSERT(( TSpace::dimension == 2 ));
+    BOOST_STATIC_ASSERT(( TOutputValue::dimension == 2 ));
+    BOOST_STATIC_ASSERT(( TInputValue::dimension == 2 ));
+
+    // ----------------------- Types ------------------------------
+public:
+    typedef typename TSpace::RealPoint RealPoint;
+    typedef typename TSpace::RealVector RealVector;
+    typedef Eigen::Matrix<double, TSpace::dimension, TSpace::dimension> RealMatrix;
+
+    // ----------------------- Interface --------------------------------------
+public:
+    /**
+       * Constructor.
+       * @param aOrigin  the center of affine transform.
+       * @param aMatrix  the affine matrix.
+       * @param aTranslate  the 2D dimensional vector which represents translation.
+       */
+    ForwardAffineTransformation2D ( const RealPoint & aOrigin, const RealMatrix & aMatrix, const RealVector & aTranslate )
+    {
+        this->origin = aOrigin;
+        BOOST_ASSERT((aMatrix(0,0)*aMatrix(1,1)!=aMatrix(1,0)*aMatrix(0,1)));
+        this->transform_matrix = aMatrix;
+        this->translation = aTranslate;
+    }
+
+    /**
+       * Constructor.
+       * @param a11, a12, a21, a22  the values of affine matrix.
+       * @param aTranslate  the 2D dimensional vector which represents translation.
+       */
+    ForwardAffineTransformation2D ( const double a11, const double a12, const double a21, const double a22, const RealVector & aTranslate )
+    {
+        BOOST_ASSERT((a11*a22!=a12*a21));
+        this->origin = RealPoint(0,0);
+        RealMatrix aMatrix;
+        aMatrix(0,0) = a11;
+        aMatrix(0,1) = a12;
+        aMatrix(1,0) = a21;
+        aMatrix(1,1) = a22;
+        this->transform_matrix = aMatrix;
+        this->translation = aTranslate;
+    }
+}; //end of class ForwardAffineTransformation2D
+
+/////////////////////////////////////////////////////////////////////////////
+// Template class BackwardAffineTransformation2D
+/**
+     * Description of template functor like class 'BackwardAffineTransformation2D' <p>
+     * \brief Aim: implements backward rigid transformation of point in the 2D integer space.
+     * Warring: This version uses closest neighbor interpolation.
+     *
+     * @tparam TSpace a 2 dimensional space.
+     * @tparam TInputValue type of the input point e.g., TSpace::RealPoint
+     * @tparam TOutputValue type of the output point e.g., TSpace::Point
+     * @tparam TFunctor a functor operating on the output e.g., a rounding function.
+     *
+     * @see exampleAffineTransformation3d.cpp
+     */
+template < typename TSpace, typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point,
+           typename TFunctor = VectorRounding < TInputValue, TOutputValue > >
+class BackwardAffineTransformation2D : public GeometricTransformation2D <TSpace,TInputValue,TOutputValue,TFunctor>
+{
+    ///Checking concepts
+    BOOST_CONCEPT_ASSERT(( concepts::CSpace<TSpace> ));
+    BOOST_STATIC_ASSERT(( TSpace::dimension == 2 ));
+    BOOST_STATIC_ASSERT(( TOutputValue::dimension == 2 ));
+    //BOOST_STATIC_ASSERT(( TInputValue::dimension == 2 ));
+
+    // ----------------------- Types ------------------------------
+public:
+    typedef typename TSpace::RealPoint RealPoint;
+    typedef typename TSpace::RealVector RealVector;
+    typedef Eigen::Matrix<double, TSpace::dimension, TSpace::dimension> RealMatrix;
+
+    // ----------------------- Interface --------------------------------------
+public:
+    /**
+       * Constructor.
+       * @param aOrigin  the center of affine transform.
+       * @param aMatrix  the affine matrix.
+       * @param aTranslate  the 2D dimensional vector which represents translation.
+       */
+    BackwardAffineTransformation2D ( const RealPoint& aOrigin, const RealMatrix & aMatrix, const RealVector & aTranslate )
+    {
+        this->origin = aOrigin;
+        BOOST_ASSERT((aMatrix(0,0)*aMatrix(1,1)!=aMatrix(1,0)*aMatrix(0,1)));
+        this->transform_matrix = aMatrix;
+        this->translation = aTranslate;
+    }
+
+    /**
+       * Constructor.
+       * @param a11, a12, a21, a22  the values of affine matrix.
+       * @param aTranslate  the 2D dimensional vector which represents translation.
+       */
+    BackwardAffineTransformation2D ( const double a11, const double a12, const double a21, const double a22, const RealVector & aTranslate )
+    {
+        BOOST_ASSERT((a11*a22!=a12*a21));
+        this->origin = RealPoint(0,0);
+        RealMatrix aMatrix;
+        double det = a11*a22-a21*a12;
+        aMatrix(0,0) = a22/det;
+        aMatrix(0,1) = -a12/det;
+        aMatrix(1,0) = -a21/det;
+        aMatrix(1,1) = a11/det;
+        this->transform_matrix = aMatrix;
+        this->translation = aTranslate;
+    }
+
+    TOutputValue operator()( const TInputValue & aInput ) const override
+    {
+        RealPoint p;
+        double a = this->transform_matrix(0,0);//transform_matrix.at(0).at(0);
+        double b = this->transform_matrix(0,1);//transform_matrix.at(0).at(1);
+        double c = this->transform_matrix(1,0);//transform_matrix.at(1).at(0);
+        double d = this->transform_matrix(1,1);//transform_matrix.at(1).at(1);
+        p[0] = ( a * ( aInput[0] - this->origin[0] - this->translation[0] ) +
+               b * ( aInput[1] - this->origin[1] - this->translation[1] ) ) + this->origin[0];
+
+        p[1] = ( c * ( aInput[0] - this->origin[0] - this->translation[0] ) +
+               d * ( aInput[1] - this->origin[1] - this->translation[1] ) ) + this->origin[1];
+        return this->functor ( p );
+    }
+};
+
+}// namespace DGtal::functors
+}// namespace DGtal
+
+#endif // !defined AffineTransformation2D_h
+
+#undef AffineTransformation2D_RECURSES
+#endif // else defined(AffineTransformation2D_RECURSES)
+