How to extract Angle , Scale , transition and shear for rotated and scaled object

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Problem description

I have rotated and scaled scene and need to correct the scale and rotation , then find rectangle known object in the last fixed image

Input

-Image scense from Camera or scanner
-Normalized (normal scale and 0 degree rotation )templeate image for known object

Requiered output

1-correct the scale and the rotation for the input scene
2-find rectnagle 

the following figure explain what is the input and steps to find the output

I 'm using the following sample [Features2D + Homography to find a known object] (http://docs.opencv.org/2.4/doc/tutori...) to find rotated and scaled object .

I used the following code to do the process

//read the input image      
Mat img_object = imread( strObjectFile, CV_LOAD_IMAGE_GRAYSCALE );
Mat img_scene = imread( strSceneFile, CV_LOAD_IMAGE_GRAYSCALE );
if( img_scene.empty() || img_object.empty())
{
    return ERROR_READ_FILE;     
}   
//Step 1 Find the object in the scene and find H matrix
//-- 1: Detect the keypoints using SURF Detector
int minHessian = 400;
SurfFeatureDetector detector( minHessian );
std::vector<KeyPoint> keypoints_object, keypoints_scene;
detector.detect( img_object, keypoints_object );
detector.detect( img_scene, keypoints_scene );

//-- 2: Calculate descriptors (feature vectors)
SurfDescriptorExtractor extractor;
Mat descriptors_object, descriptors_scene;
extractor.compute( img_object, keypoints_object, descriptors_object );
extractor.compute( img_scene, keypoints_scene, descriptors_scene );

//-- 3: Matching descriptor vectors using FLANN matcher
FlannBasedMatcher matcher;
std::vector< DMatch > matches;
matcher.match( descriptors_object, descriptors_scene, matches );

double max_dist = 0; double min_dist = 100;
//-- Quick calculation of max and min distances between keypoints
for( int i = 0; i < descriptors_object.rows; i++ )
{ 
    double dist = matches[i].distance;
    if( dist < min_dist ) 
        min_dist = dist;
    if( dist > max_dist )
        max_dist = dist;
}   

//-- Draw only "good" matches (i.e. whose distance is less than 3*min_dist )
std::vector< DMatch > good_matches;
for( int i = 0; i < descriptors_object.rows; i++ )
{ 
    if( matches[i].distance < 3*min_dist )
    { 
        good_matches.push_back( matches[i]); 
    }
}
Mat img_matches;
drawMatches( img_object, keypoints_object, img_scene, keypoints_scene,
    good_matches, img_matches, Scalar::all(-1), Scalar::all(-1),
    vector<char>(), DrawMatchesFlags::NOT_DRAW_SINGLE_POINTS );

//Draw matched points
imwrite("c:\\temp\\Matched_Pints.png",img_matches);

//-- Localize the object
std::vector<Point2f> obj;
std::vector<Point2f> scene;
for( int i = 0; i < good_matches.size(); i++ )
{
    //-- Get the keypoints from the good matches
    obj.push_back( keypoints_object[ good_matches[i].queryIdx ].pt );
    scene.push_back( keypoints_scene[ good_matches[i].trainIdx ].pt );
}

Mat H = findHomography( obj, scene, CV_RANSAC );
//-- Get the corners from the image_1 ( the object to be "detected" )
std::vector<Point2f> obj_corners(4);
obj_corners[0] = cvPoint(0,0); obj_corners[1] = cvPoint( img_object.cols, 0 );
obj_corners[2] = cvPoint( img_object.cols, img_object.rows ); obj_corners[3] = cvPoint( 0, img_object.rows );
std::vector<Point2f> scene_corners(4);
perspectiveTransform( obj_corners, scene_corners, H);
//-- Draw lines between the corners (the mapped object in the scene - image_2 )
line( img_matches, scene_corners[0] + Point2f( img_object.cols, 0), scene_corners[1] + Point2f( img_object.cols, 0), Scalar(0, 255, 0), 4 );
line( img_matches, scene_corners[1] + Point2f( img_object.cols, 0), scene_corners[2] + Point2f( img_object.cols, 0), Scalar( 0, 255, 0), 4 );
line( img_matches, scene_corners[2] + Point2f( img_object.cols, 0), scene_corners[3] + Point2f( img_object.cols, 0), Scalar( 0, 255, 0), 4 );
line( img_matches, scene_corners[3] + Point2f( img_object.cols, 0), scene_corners[0] + Point2f( img_object.cols, 0), Scalar( 0, 255, 0), 4 );
//-- Show detected matches
//imshow( "Good Matches & Object detection", img_matches ); 
imwrite ...