Showing posts with label hog. Show all posts
Showing posts with label hog. Show all posts

Monday, August 22, 2011

Another Review of Dalal & Triggs

Writeup HOG Descriptor from the blog of Yet Another Blogger,


Begin copied blog post.


It gives a working example on choosing of various modules at the recognition pipeline for human figure (pedestrians).

Much simplified summary

It uses Histogram of Gradient Orientations as a descriptor in a 'dense' setting. Meaning that it does not detect key-Points like SIFT detectors (sparse). Each feature vector is computed from a window (64x128) placed across an input image. Each vector element is a histogram of gradient orientations (9 bins from 0-180 degrees, +/- directions count as the same). The histogram is collected within a cell of pixels (8x8). The contrasts are locally normalized by a block of size 2x2 cells (16x16 pixels). Normalization is an important enhancement. The block moves in 8-pixel steps - half the block size. Meaning that each cell contributes to 4 different normalization blocks. A linear SVM is trained to classify whether a window is human-figure or not. The output from a trained linear SVM is a set of coefficient for each element in a feature vector.

I presume Linear SVM means the Kernel Method is linear, and no projections to higher dimension. The paper by Hsu, et al suggests that linear method is enough when the feature dimension is already high.

OpenCV implementation (hog.cpp, objdetect.hpp)

The HOGDescriptor class is not found in the API documentation. Here is notable points judging by the source code and sample program(people_detect.cpp):
  • Comes with a default human-detector. It says at the file comment that it is "compatible with the INRIA Object Detection and Localization toolkit. I presume this is a trained linear SVM classifier represented as a vector of coefficients;
  • No need to call SVM code. The HOGDescriptor.detect() function simply uses the coefficients on the input feature-vector to compute the weight-sum. If the sum is greated than the user specified 'hitThreshold' (default to 0), then it is a human-figure.
  • 'hitThreshold' argument could be negative.
  • 'winStride' argument (default 8x8)- controls how the window is slide across the input window.
  • detectMultiScale() arguments
    • 'groupThreshold' pass-through to cv::groupRectangles() API - non-Max-Suppression?
    • 'scale0' controls how much down-sampling is performed on the input image before calling 'detect()'. It is repeated for 'nlevels' number of times. Default is 64. All levels could be done in parallel.
Sample (people_detect.cpp)

  • Uses the built-in trained coefficients.
  • Actually needs to eliminate for duplicate rectangles from the results of detectMultiScale(). Is it because it's calling to match at multiple-scales?
  • detect() return list of detected points. The size is the detector window size.
Observations

  • With GrabCut BSDS300 test images - only able to detect one human figure (89072.jpg). The rest could be either too small or big or obscured. Interestingly, it detected a few long-narrow upright trees as human figure. It takes about 2 seconds to process each picture.
  • With GrabCut Data_GT test images - able to detect human figure from 3 images: tennis.jpg, bool.jpg (left), person5.jpg (right), _not_ person7.jpg though. An interesting false-positive is from grave.jpg. The cut-off tomb-stone on the right edge is detected. Most pictures took about 4.5 seconds to process.
  • MIT Pedestrian Database (64x128 pedestrian shots):
    • The default HOG detector window (feature-vector) is the same size as the test images.
    • Recognized 72 out of 925 images with detectMultiScale() using default parameters. Takes about 15 ms for each image.
    • Recognized 595 out of 925 images with detect() using default parameters. Takes about 3 ms for each image.
    • Turning off gamma-correction reduces the hits from 595 to 549.
  • INRIA Person images (Test Batch)
    • (First half) Negative samples are smaller in size at (1 / 4) of Positives, 800 - 1000 ms, the others takes about 5 seconds.
    • Are the 'bike_and_person' samples there for testing occlusion?
    • Recognized 232/288 positive images. 65 / 453 negative images - Takes 10-20 secs for each image.
    • Again cut-off boxes resulting in long vertical shape becomes false positives
    • Lamp Poles, Trees, Rounded-Top Extrances, Top part of a tower, long windows are typical false positives. Should upright statue considered 'negative' sample?
    • Picked a few false-negatives to re-run with changing parameters. I picked those with large human-figure and stands mostly upright. (crop_00001.jpg, crop001688.jpg, crop001706.jpg, person_107.jpg).
      • Increased the nLevels from default(64) to 256.
      • Decrease 'hitThreshold' to -2: a lot more small size hits.
      • Half the input image size from the original.
      • Decrease the scaleFactor from 1.05 to 1.01.
      • Tried all the above individually - still unable to recognize the tall figure. I suppose this has something to do with their pose, like how they placed their arms.
Resources


End copied blog post.

Tuesday, July 5, 2011

Detecting People: C and OpenCV

Continuation of previous post, this code was in the examples folder.


#include "cvaux.h"
#include "highgui.h"
#include "stdio.h"
#include "string.h"
#include "ctype.h"

using namespace cv;
using namespace std;

int main(int argc, char** argv)
{
    Mat img;
    FILE* f = 0;
    char _filename[1024];

    if( argc == 1 )
    {
        printf("Usage: peopledetect (<image_filename> | <image_list>.txt)\n");
        return 0;
    }
    img = imread(argv[1]);

    if( img.data )
    {
     strcpy(_filename, argv[1]);
    }
    else
    {
        f = fopen(argv[1], "rt");
        if(!f)
        {
      fprintf( stderr, "ERROR: the specified file could not be loaded\n");
      return -1;
     }
    }

    HOGDescriptor hog;
    hog.setSVMDetector(HOGDescriptor::getDefaultPeopleDetector());

    for(;;)
    {
     char* filename = _filename;
     if(f)
     {
      if(!fgets(filename, (int)sizeof(_filename)-2, f))
       break;
      //while(*filename && isspace(*filename))
      // ++filename;
      if(filename[0] == '#')
       continue;
      int l = strlen(filename);
      while(l > 0 && isspace(filename[l-1]))
       --l;
      filename[l] = '\0';
      img = imread(filename);
     }
     printf("%s:\n", filename);
     if(!img.data)
      continue;
  
     fflush(stdout);
     vector<rect> found, found_filtered;
     double t = (double)getTickCount();
     // run the detector with default parameters. to get a higher hit-rate
     // (and more false alarms, respectively), decrease the hitThreshold and
     // groupThreshold (set groupThreshold to 0 to turn off the grouping completely).
        int can = img.channels();
     hog.detectMultiScale(img, found, 0, Size(8,8), Size(32,32), 1.05, 2);
     t = (double)getTickCount() - t;
     printf("tdetection time = %gms\n", t*1000./cv::getTickFrequency());
     size_t i, j;
     for( i = 0; i < found.size(); i++ )
     {
      Rect r = found[i];
      for( j = 0; j < found.size(); j++ )
       if( j != i && (r & found[j]) == r)
        break;
      if( j == found.size() )
       found_filtered.push_back(r);
     }
     for( i = 0; i < found_filtered.size(); i++ )
     {
      Rect r = found_filtered[i];
      // the HOG detector returns slightly larger rectangles than the real objects.
      // so we slightly shrink the rectangles to get a nicer output.
      r.x += cvRound(r.width*0.1);
      r.width = cvRound(r.width*0.8);
      r.y += cvRound(r.height*0.07);
      r.height = cvRound(r.height*0.8);
      rectangle(img, r.tl(), r.br(), cv::Scalar(0,255,0), 3);
     }
     imshow("people detector", img);
     int c = waitKey(0) & 255;
     if( c == 'q' || c == 'Q' || !f)
            break;
    }
    if(f)
        fclose(f);
    return 0;
}

Reference:

Wednesday, June 1, 2011

Paper Review: Histograms of Oriented Gradients for Human Detection. Navneet Dalal and Bill Triggs

Thanks to Joel Andres Granados, PhD student in the IT University of Copenhagen. You saved me some effort!  http://joelgranados.wordpress.com/2011/05/12/paper-histograms-of-oriented-gradients-for-human-detection/
 
Approach:
  1. First you calculate the gradients.  They tested various ways of doing this and concluded that a simple [-1,0,1] filter was best.  After this calculation you will have a direction and a magnitude for each pixel.
  2. Divide the angle of direction in bins (Notice that you can divide 180 or 360 degrees).  This is just a way to gather gradient directions into bins.  A bin can be all the angles from 0 to 30 degrees.
  3. Divide the image in cells.  Each pixel in the cell adds to a histogram of orientations based on the angle division in 2.  Two really cool things to note here:
    1. You can avoid aliasing by interpolating votes between neighboring bins
    2. The magnitude of the gradient controls the way the vote is counted in the histogram
  4. Note that each cell is a histogram that contains the “amount” of all gradient directions in that cell.
  5. Create a way to group adjacent cell histograms and call it a block.  For each block (group of cells) you will “normalize” it.  Papers suggests something like v/sqrt(|v|^2 + e^2). Note that V is the vector representing the adjacent cell histograms of the block.  Further not that || is the L-2 norm of the vector.
  6. Now move through the image in block steps.  Each block you create is to be “normalized”.  The way you move through the image allows for cells to be in more than one block (Though this is not necessary).
  7. For each block in the image you will get a “normalized” vector.  All these vectors placed one after another is the HOG.
Comments:
  1. Awesome idea: The used 1239 pedestrian images.  The SVM was trained with the 1239 originals and the left-right reflections.  This is so cool on so many levels.  Of course!! the pedestrian is still a pedestrian in the reflection image.  And this little trick give double the information to the SVM with no additional storage overhead.
  2. They created negative training images from a data base of images which did not contain any pedestrians.  Basically randomly sampled those non-pedestrian images and created the negative training set.  They ran the non-pedestrian images on the resulting classifier in look for false-positives and then added these false-positives to the training set.
  3. A word on scale:  To make detection happen they had to move a detection window through the image and run the classifier on each ROI.  They did this for various scales of the image.  We might not have to be so strict with this as all the flowers are going to be within a small range from the camera.  Whereas pedestrians can be very close or very far from the camera.  The point is that the pedestrian range is much larger.
  4. A margin was left in the training images.  of 4 pixels.

Wednesday, April 27, 2011

HoG for Hand Gestures



In the Sonic Gesture project by Gijs Molinaar, hand gestures are detected by vision and converted into sound. The source code is derived from the OpenCV code by Saurabh Goyal. Link to source code is here.

Monday, April 25, 2011

Processing language comes with Image Processing Libraries

Processing is an open source programming language and environment for people who want to create images, animations, and interactions.

Friday, February 11, 2011

Object Detection with OpenCV - (3/3) - SVM Training

This post part 3 of a series of 3 posts at smsoft-solutions by Saurabh Goyal. To go to the original articles:

  1. Object Detection Using opencv I - Integral Histogram for fast Calculation of HOG Features
  2. Object Detection using opencv II - Calculation of Hog Features
  3. Object Detection using opencv III - Training an svm for the extracted hog features

This is a follow up post to an earlier post on calculation of hog feature vectors for object detection using opencv. Here I describe how a support vector machine (svm) can be trained for a dataset containing positive and negative examples of the object to detected. The code has been commented for easier understanding of how it works :
/*This function takes in a the path and names of
64x128 pixel images, the size of the cell to be
used for calculation of hog features(which should
be 8x8 pixels, some modifications will have to be 
done in the code for a different cell size, which
could be easily done once the reader understands
how the code works), a default block size of 2x2
cells has been considered and the window size
parameter should be 64x128 pixels (appropriate
modifications can be easily done for other say
64x80 pixel window size). All the training images
are expected to be stored at the same location and
the names of all the images are expected to be in
sequential order like a1.jpg, a2.jpg, a3.jpg ..
and so on or a(1).jpg, a(2).jpg, a(3).jpg ... The
explanation of all the parameters below will make
clear the usage of the function. The synopsis of
the function is as follows :

prefix : it should be the path of the images, along
with the prefix in the image name for
example if the present working directory is
/home/saurabh/hog/ and the images are in
/home/saurabh/hog/images/positive/ and are
named like pos1.jpg, pos2.jpg, pos3.jpg ....,
then the prefix parameter would be
"images/positive/pos" or if the images are
named like pos(1).jpg, pos(2).jpg,
pos(3).jpg ... instead, the prefix parameter
would be "images/positive/pos("

suffix : it is the part of the name of the image
files after the number for example for the
above examples it would be ".jpg" or ").jpg"

cell   : it should be CvSize(8,8), appropriate changes
need to be made for other cell sizes

window : it should be CvSize(64,128), appropriate
changes need to be made for other window sizes

number_samples : it should be equal to the number of
training images, for example if the
training images are pos1.jpg, pos2.jpg
..... pos1216.jpg, then it should be
1216

start_index : it should be the start index of the images'
names for example for the above case it
should be 1 or if the images were named
like pos1000.jpg, pos1001.jpg, pos1002.jpg
.... pos2216.jpg, then it should be 1000

end_index : it should be the end index of the images'
name for example for the above cases it
should be 1216 or 2216

savexml   : if you want to store the extracted features,
then you can pass to it the name of an xml
file to which they should be saved

normalization : the normalization scheme to be used for
computing the hog features, any of the
opencv schemes could be passed or -1
could be passed if no normalization is
to be done */

CvMat *train_64x128(char *prefix, char *suffix, CvSize cell,
      CvSize window, int number_samples, int start_index,
      int end_index, char *savexml = NULL, int canny = 0,
      int block = 1, int normalization = 4)
{

 char filename[50] = "\0", number[8];
 int prefix_length;
 prefix_length = strlen(prefix);
 int bins = 9;

/* A default block size of 2x2 cells is considered */

 int block_width = 2, block_height = 2;

/* Calculation of the length of a feature vector for
an image (64x128 pixels)*/

 int feature_vector_length;
 feature_vector_length = (((window.width -
       cell.width * block_width) / cell.width) +
     1) *
     (((window.height - cell.height * block_height)
       / cell.height) + 1) * 36;

/* Matrix to store the feature vectors for
all(number_samples) the training samples */

 CvMat *training = cvCreateMat(number_samples,
          feature_vector_length, CV_32FC1);

 CvMat row;
 CvMat *img_feature_vector;
 IplImage **integrals;
 int i = 0, j = 0;

 printf("Beginning to extract HoG features from
positive images\n");

 strcat(filename, prefix);

/* Loop to calculate hog features for each image one by one */

 for (i = start_index; i <= end_index; i++) {
  cvtInt(number, i);
  strcat(filename, number);
  strcat(filename, suffix);
  IplImage *img = cvLoadImage(filename);

/* Calculation of the integral histogram for
fast calculation of hog features*/

  integrals = calculateIntegralHOG(img);
  cvGetRow(training, &row, j);
  img_feature_vector
      = calculateHOG_window(integrals, cvRect(0, 0,
           window.width,
           window.height),
       normalization);
  cvCopy(img_feature_vector, &row);
  j++;
  printf("%s\n", filename);
  filename[prefix_length] = '\0';
  for (int k = 0; k < 9; k++) {
   cvReleaseImage(&integrals[k]);
  }
 }
 if (savexml != NULL) {
  cvSave(savexml, training);
 }

 return training;
}

/* This function is almost the same as
train_64x128(...), except the fact that it can
take as input images of bigger sizes and
generate multiple samples out of a single
image.

It takes 2 more parameters than
train_64x128(...), horizontal_scans and
vertical_scans to determine how many samples
are to be generated from the image. It
generates horizontal_scans x vertical_scans
number of samples. The meaning of rest of the
parameters is same.

For example for a window size of
64x128 pixels, if a 320x240 pixel image is
given input with horizontal_scans = 5 and
vertical scans = 2, then it will generate to
samples by considering windows in the image
with (x,y,width,height) as (0,0,64,128),
(64,0,64,128), (128,0,64,128), .....,
(0,112,64,128), (64,112,64,128) .....
(256,112,64,128)

The function takes non-overlapping windows
from the image except the last row and last
column, which could overlap with the second
last row or second last column. So the values
of horizontal_scans and vertical_scans passed
should be such that it is possible to perform
that many scans in a non-overlapping fashion
on the given image. For example horizontal_scans
= 5 and vertical_scans = 3 cannot be passed for
a 320x240 pixel image as that many vertical scans
are not possible for an image of height 240
pixels and window of height 128 pixels. */

CvMat *train_large(char *prefix, char *suffix,
     CvSize cell, CvSize window, int number_images,
     int horizontal_scans, int vertical_scans,
     int start_index, int end_index,
     char *savexml = NULL, int normalization = 4)
{
 char filename[50] = "\0", number[8];
 int prefix_length;
 prefix_length = strlen(prefix);
 int bins = 9;

/* A default block size of 2x2 cells is considered */

 int block_width = 2, block_height = 2;

/* Calculation of the length of a feature vector for
an image (64x128 pixels)*/

 int feature_vector_length;
 feature_vector_length = (((window.width -
       cell.width * block_width) / cell.width) +
     1) *
     (((window.height - cell.height * block_height)
       / cell.height) + 1) * 36;

/* Matrix to store the feature vectors for
all(number_samples) the training samples */

 CvMat *training = cvCreateMat(number_images
          * horizontal_scans * vertical_scans,
          feature_vector_length, CV_32FC1);

 CvMat row;
 CvMat *img_feature_vector;
 IplImage **integrals;
 int i = 0, j = 0;
 strcat(filename, prefix);

 printf("Beginning to extract HoG features
from negative images\n");

/* Loop to calculate hog features for each
image one by one */

 for (i = start_index; i <= end_index; i++) {
  cvtInt(number, i);
  strcat(filename, number);
  strcat(filename, suffix);
  IplImage *img = cvLoadImage(filename);
  integrals = calculateIntegralHOG(img);
  for (int l = 0; l < vertical_scans - 1; l++) {
   for (int k = 0; k < horizontal_scans - 1; k++) {
    cvGetRow(training, &row, j);
    img_feature_vector =
        calculateHOG_window(integrals,
       cvRect(window.width * k,
              window.height *
              l, window.width,
              window.height),
       normalization);

    cvCopy(img_feature_vector, &row);
    j++;
   }

   cvGetRow(training, &row, j);

   img_feature_vector =
       calculateHOG_window(integrals,
      cvRect(img->width -
             window.width,
             window.height * l,
             window.width,
             window.height),
      normalization);

   cvCopy(img_feature_vector, &row);
   j++;
  }

  for (int k = 0; k < horizontal_scans - 1; k++) {
   cvGetRow(training, &row, j);

   img_feature_vector =
       calculateHOG_window(integrals,
      cvRect(window.width * k,
             img->height -
             window.height,
             window.width,
             window.height),
      normalization);

   cvCopy(img_feature_vector, &row);
   j++;
  }
  cvGetRow(training, &row, j);

  img_feature_vector = calculateHOG_window(integrals,
        cvRect(img->width -
        window.width,
        img->height -
        window.height,
        window.width,
        window.height),
        normalization);

  cvCopy(img_feature_vector, &row);
  j++;

  printf("%s\n", filename);
  filename[prefix_length] = '\0';
  for (int k = 0; k < 9; k++) {
   cvReleaseImage(&integrals[k]);
  }

  cvReleaseImage(&img);

 }

 printf("%d negative samples created \n", training->rows);

 if (savexml != NULL) {
  cvSave(savexml, training);
  printf("Negative samples saved as %s\n", savexml);
 }

 return training;

}

/* This function trains a linear support vector
machine for object classification. The synopsis is
as follows :

pos_mat : pointer to CvMat containing hog feature
vectors for positive samples. This may be
NULL if the feature vectors are to be read
from an xml file

neg_mat : pointer to CvMat containing hog feature
vectors for negative samples. This may be
NULL if the feature vectors are to be read
from an xml file

savexml : The name of the xml file to which the learnt
svm model should be saved

pos_file: The name of the xml file from which feature
vectors for positive samples are to be read.
It may be NULL if feature vectors are passed
as pos_mat

neg_file: The name of the xml file from which feature
vectors for negative samples are to be read.
It may be NULL if feature vectors are passed
as neg_mat*/

void trainSVM(CvMat * pos_mat, CvMat * neg_mat, char *savexml,
       char *pos_file = NULL, char *neg_file = NULL)
{

/* Read the feature vectors for positive samples */
 if (pos_file != NULL) {
  printf("positive loading...\n");
  pos_mat = (CvMat *) cvLoad(pos_file);
  printf("positive loaded\n");
 }

/* Read the feature vectors for negative samples */
 if (neg_file != NULL) {
  neg_mat = (CvMat *) cvLoad(neg_file);
  printf("negative loaded\n");
 }

 int n_positive, n_negative;
 n_positive = pos_mat->rows;
 n_negative = neg_mat->rows;
 int feature_vector_length = pos_mat->cols;
 int total_samples;
 total_samples = n_positive + n_negative;

 CvMat *trainData = cvCreateMat(total_samples,
           feature_vector_length, CV_32FC1);

 CvMat *trainClasses = cvCreateMat(total_samples,
       1, CV_32FC1);

 CvMat trainData1, trainData2, trainClasses1, trainClasses2;

 printf("Number of positive Samples : %d\n", pos_mat->rows);

/*Copy the positive feature vectors to training
data*/

 cvGetRows(trainData, &trainData1, 0, n_positive);
 cvCopy(pos_mat, &trainData1);
 cvReleaseMat(&pos_mat);

/*Copy the negative feature vectors to training
data*/

 cvGetRows(trainData, &trainData2, n_positive, total_samples);

 cvCopy(neg_mat, &trainData2);
 cvReleaseMat(&neg_mat);

 printf("Number of negative Samples : %d\n", trainData2.rows);

/*Form the training classes for positive and
negative samples. Positive samples belong to class
1 and negative samples belong to class 2 */

 cvGetRows(trainClasses, &trainClasses1, 0, n_positive);
 cvSet(&trainClasses1, cvScalar(1));

 cvGetRows(trainClasses, &trainClasses2, n_positive, total_samples);

 cvSet(&trainClasses2, cvScalar(2));

/* Train a linear support vector machine to learn from
the training data. The parameters may played and
experimented with to see their effects*/

 CvSVM svm(trainData, trainClasses, 0, 0,
    CvSVMParams(CvSVM::C_SVC, CvSVM::LINEAR, 0, 0, 0, 2,
         0, 0, 0, cvTermCriteria(CV_TERMCRIT_EPS, 0,
            0.01)));

 printf("SVM Training Complete!!\n");

/*Save the learnt model*/

 if (savexml != NULL) {
  svm.save(savexml);
 }
 cvReleaseMat(&trainClasses);
 cvReleaseMat(&trainData);

}

I hope the comments were helpful to understand and use the code. To see how a large collection of files can be renamed to a sequential order which is required by this implementation refer here. Another way to read in the images of dataset could be to store the paths of all files in a text file and parse then parse the text file. I will follow up this post soon, describing how the learnt model can be used for actual detection of an object in an image.

Object Detection with OpenCV - (2/3) - HOG Feature Vector Calculation

This post part 2 of a series of 3 posts at smsoft-solutions by Saurabh Goyal. To go to the original articles:

  1. Object Detection Using opencv I - Integral Histogram for fast Calculation of HOG Features
  2. Object Detection using opencv II - Calculation of Hog Features
  3. Object Detection using opencv III - Training an svm for the extracted hog features


This is follow up post to an earlier post where I have described how an integral histogram can be obtained from an image for fast calculation of hog features. Here I am posting the code for how this integral histogram can be used to calculate the hog feature vectors for an image window. I have commented the code for easier understanding of how it works :
/* This function takes in a block as a rectangle and
calculates the hog features for the block by dividing
it into cells of size cell(the supplied parameter),
calculating the hog features for each cell using the
function calculateHOG_rect(...), concatenating the so
obtained vectors for each cell and then normalizing over
the concatenated vector to obtain the hog features for a
block */

void calculateHOG_block(CvRect block, CvMat * hog_block,
   IplImage ** integrals, CvSize cell, int normalization)
{
 int cell_start_x, cell_start_y;
 CvMat vector_cell;
 int startcol = 0;
 for (cell_start_y = block.y; cell_start_y <=
      block.y + block.height - cell.height;
      cell_start_y += cell.height) {
  for (cell_start_x = block.x; cell_start_x <=
       block.x + block.width - cell.width;
       cell_start_x += cell.width) {
   cvGetCols(hog_block, &vector_cell, startcol,
      startcol + 9);

   calculateHOG_rect(cvRect(cell_start_x,
       cell_start_y, cell.width,
       cell.height), &vector_cell,
       integrals, -1);

   startcol += 9;
  }
 }
 if (normalization != -1)
  cvNormalize(hog_block, hog_block, 1, 0, normalization);
}

/* This function takes in a window(64x128 pixels,
but can be easily modified for other window sizes)
and calculates the hog features for the window. It
can be used to calculate the feature vector for a 
64x128 pixel image as well. This window/image is the
training/detection window which is used for training
or on which the final detection is done. The hog
features are computed by dividing the window into
overlapping blocks, calculating the hog vectors for
each block using calculateHOG_block(...) and
concatenating the so obtained vectors to obtain the
hog feature vector for the window*/

CvMat *calculateHOG_window(IplImage ** integrals,
      CvRect window, int normalization)
{

/*A cell size of 8x8 pixels is considered and each
block is divided into 2x2 such cells (i.e. the block
is 16x16 pixels). So a 64x128 pixels window would be
divided into 7x15 overlapping blocks*/

 int block_start_x, block_start_y, cell_width = 8;
 int cell_height = 8;
 int block_width = 2, block_height = 2;

/* The length of the feature vector for a cell is
9(since no. of bins is 9), for block it would  be
9*(no. of cells in the block) = 9*4 = 36. And the
length of the feature vector for a window would be
36*(no. of blocks in the window */

 CvMat *window_feature_vector = cvCreateMat(1,
         ((((window.width -
             cell_width * block_width)
            / cell_width) +
           1) *
          (((window.height -
             cell_height *
             block_height) /
            cell_height)
           + 1)) * 36, CV_32FC1);

 CvMat vector_block;
 int startcol = 0;
 for (block_start_y = window.y; block_start_y
      <= window.y + window.height - cell_height
      * block_height; block_start_y += cell_height) {
  for (block_start_x = window.x; block_start_x
       <= window.x + window.width - cell_width
       * block_width; block_start_x += cell_width) {
   cvGetCols(window_feature_vector, &vector_block,
      startcol, startcol + 36);

   calculateHOG_block(cvRect(block_start_x,
        block_start_y,
        cell_width * block_width,
        cell_height * block_height),
        &vector_block, integrals,
        cvSize(cell_width, cell_height),
        normalization);

   startcol += 36;
  }
 }
 return (window_feature_vector);
}

I will very soon post how a support vector machine (svm) can trained using the above functions for an object using a dataset and how the learned model can be used to detect the corresponding object in an image.

Wednesday, February 9, 2011

Object Detection with OpenCV - (1/3) - Integral Histograms

This post part 1 of a series of 3 posts at smsoft-solutions by Saurabh Goyal. To go to the original articles:

  1. Object Detection Using opencv I - Integral Histogram for fast Calculation of HOG Features
  2. Object Detection using opencv II - Calculation of Hog Features
  3. Object Detection using opencv III - Training an svm for the extracted hog features

Start of borrowed stuff

Histograms of Oriented Gradients or HOG features in combination with a support vector machine have been successfully used for object Detection (most popularly pedestrian detection). An Integral Histogram representation can be used for fast calculation of Histograms of Oriented Gradients over arbitrary rectangular regions of the image. The idea of an integral histogram is analogous to that of an integral image, used by viola and jones for fast calculation of haar features for face detection. Mathematically,
where b represents the bin number of the histogram. This way the calculation of hog over any arbitrary rectangle in the image requires just 4*bins number of array references. For more details on integral histogram representation, please refer, [Porikli 2005]. The following demonstrates how such integral histogram can be calculated from an image and used for the calculation of hog features using the opencv computer vision library :
/*
    Function to calculate the integral histogram
*/

IplImage **calculateIntegralHOG(IplImage * in)
{

/*
   Convert the input image to grayscale
*/

 IplImage *img_gray = cvCreateImage(cvGetSize(in), IPL_DEPTH_8U, 1);
 cvCvtColor(in, img_gray, CV_BGR2GRAY);
 cvEqualizeHist(img_gray, img_gray);

/*
    Calculate the derivates of the grayscale image in the x and y directions using a
    sobel operator and obtain 2 gradient images for the x and y directions
*/

 IplImage *xsobel, *ysobel;
 xsobel = doSobel(img_gray, 1, 0, 3);
 ysobel = doSobel(img_gray, 0, 1, 3);
 cvReleaseImage(&img_gray);

/*
    Create an array of 9 images (9 because I assume bin size 20 degrees and unsigned gradient
    ( 180/20 = 9), one for each bin which will have zeroes for all pixels, except for the
    pixels in the original image for which the gradient values correspond to the particular
    bin. These will be referred to as bin images. These bin images will be then used to
    calculate the integral histogram, which will quicken the calculation of HOG descriptors
*/

 IplImage **bins = (IplImage **) malloc(9 * sizeof(IplImage *));
 for (int i = 0; i < 9; i++) {
  bins[i] = cvCreateImage(cvGetSize(in), IPL_DEPTH_32F, 1);
  cvSetZero(bins[i]);
 }

/*
    Create an array of 9 images ( note the dimensions of the image, the cvIntegral() function
    requires the size to be that), to store the integral images calculated from the above bin
    images. These 9 integral images together constitute the integral histogram
*/

 IplImage **integrals = (IplImage **) malloc(9 * sizeof(IplImage *));
 for (int i = 0; i < 9; i++) {
  integrals[i] =
      cvCreateImage(cvSize(in->width + 1, in->height + 1),
      IPL_DEPTH_64F, 1);
 }

/*
    Calculate the bin images. The magnitude and orientation of the gradient at each pixel
    is calculated using the xsobel and ysobel images.
    {Magnitude = sqrt(sq(xsobel) + sq(ysobel) ), gradient = itan (ysobel/xsobel) }.
    Then according to the orientation of the gradient, the value of the corresponding pixel
    in the corresponding image is set
*/

 int x, y;
 float temp_gradient, temp_magnitude;
 for (y = 0; y < in->height; y++) {

/*
     ptr1 and ptr2 point to beginning of the current row in the xsobel and ysobel images
     respectively. ptrs[i] point to the beginning of the current rows in the bin images
*/

  float *ptr1 =
      (float *)(xsobel->imageData + y * (xsobel->widthStep));
  float *ptr2 =
      (float *)(ysobel->imageData + y * (ysobel->widthStep));
  float **ptrs = (float **)malloc(9 * sizeof(float *));
  for (int i = 0; i < 9; i++) {
   ptrs[i] =
       (float *)(bins[i]->imageData +
          y * (bins[i]->widthStep));
  }

/*
    For every pixel in a row gradient orientation and magnitude are calculated
    and corresponding values set for the bin images.
*/

  for (x = 0; x < in->width; x++) {

/*
    If the xsobel derivative is zero for a pixel, a small value is added to it, to avoid
    division by zero. atan returns values in radians, which on being converted to degrees,
    correspond to values between -90 and 90 degrees. 90 is added to each orientation, to
    shift the orientation values range from {-90-90} to {0-180}. This is just a matter of
    convention. {-90-90} values can also be used for the calculation.
*/

   if (ptr1[x] == 0) {
    temp_gradient =
        ((atan(ptr2[x] / (ptr1[x] + 0.00001))) *
         (180 / PI)) + 90;
   } else {
    temp_gradient =
        ((atan(ptr2[x] / ptr1[x])) * (180 / PI)) +
        90;
   }
   temp_magnitude =
       sqrt((ptr1[x] * ptr1[x]) + (ptr2[x] * ptr2[x]));

/*
    The bin image is selected according to the gradient values. The corresponding pixel
    value is made equal to the gradient magnitude at that pixel in the corresponding bin image
*/

   if (temp_gradient <= 20) {
    ptrs[0][x] = temp_magnitude;
   } else if (temp_gradient <= 40) {
    ptrs[1][x] = temp_magnitude;
   } else if (temp_gradient <= 60) {
    ptrs[2][x] = temp_magnitude;
   } else if (temp_gradient <= 80) {
    ptrs[3][x] = temp_magnitude;
   } else if (temp_gradient <= 100) {
    ptrs[4][x] = temp_magnitude;
   } else if (temp_gradient <= 120) {
    ptrs[5][x] = temp_magnitude;
   } else if (temp_gradient <= 140) {
    ptrs[6][x] = temp_magnitude;
   } else if (temp_gradient <= 160) {
    ptrs[7][x] = temp_magnitude;
   } else {
    ptrs[8][x] = temp_magnitude;
   }
  }
 }

 cvReleaseImage(&xsobel);
 cvReleaseImage(&ysobel);

/*Integral images for each of the bin images are calculated*/

 for (int i = 0; i < 9; i++) {
  cvIntegral(bins[i], integrals[i]);
 }

 for (int i = 0; i < 9; i++) {
  cvReleaseImage(&bins[i]);
 }

/*
    The function returns an array of 9 images which consitute the integral histogram
*/

 return (integrals);

}
The following demonstrates how the integral histogram calculated using the above function can be used to calculate the histogram of oriented gradients for any rectangular region in the image:
/* 
   The following function takes as input the rectangular cell for which the histogram of
   oriented gradients has to be calculated, a matrix hog_cell of dimensions 1x9 to store 
   the bin values for the histogram, the integral histogram, and the normalization scheme 
   to be used. No normalization is done if normalization = -1 
*/

void calculateHOG_rect(CvRect cell, CvMat * hog_cell,
         IplImage ** integrals, int normalization)
{

/* Calculate the bin values for each of the bin of the histogram one by one */

 for (int i = 0; i < 9; i++) {

  float a = ((double *)(integrals[i]->imageData + (cell.y)
          * (integrals[i]->widthStep)))[cell.x];
  float b =
      ((double *)(integrals[i]->imageData + (cell.y + cell.height)
    * (integrals[i]->widthStep)))[cell.x +
             cell.width];
  float c = ((double *)(integrals[i]->imageData + (cell.y)
          * (integrals[i]->widthStep)))[cell.x +
            cell.width];
  float d =
      ((double *)(integrals[i]->imageData + (cell.y + cell.height)
    * (integrals[i]->widthStep)))[cell.x];

  ((float *)hog_cell->data.fl)[i] = (a + b) - (c + d);

 }

/*
  Normalize the matrix
*/
  if (normalization != -1) {
  cvNormalize(hog_cell, hog_cell, 1, 0, normalization);
 }

}

End of borrowed stuff


I will describe how the HOG features for pedestrian detection can be obtained using the above framework and how an svm can be trained for such features for pedestrian detection in a later post.