text: """ Tensorflow implementation of the face detection / alignment algorithm found at
  https://github.com/kpzhang93/MTCNN_face_detection_alignment
  """
  # MIT License
  # 
  # Copyright (c) 2016 David Sandberg
  # 
  # Permission is hereby granted, free of charge, to any person obtaining a copy
  # of this software and associated documentation files (the "Software"), to deal
  # in the Software without restriction, including without limitation the rights
  # to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
  # copies of the Software, and to permit persons to whom the Software is
  # furnished to do so, subject to the following conditions:
  # 
  # The above copyright notice and this permission notice shall be included in all
  # copies or substantial portions of the Software.
  # 
  # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
  # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
  # AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
  # OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
  # SOFTWARE.
  
  from __future__ import absolute_import
  from __future__ import division
  from __future__ import print_function
  from six import string_types, iteritems
  
  import numpy as np
  import tensorflow as tf
  #from math import floor
  import cv2
  import os
  
  def layer(op):
      '''Decorator for composable network layers.'''
  
      def layer_decorated(self, *args, **kwargs):
          # Automatically set a name if not provided.
          name = kwargs.setdefault('name', self.get_unique_name(op.__name__))
          # Figure out the layer inputs.
          if len(self.terminals) == 0:
              raise RuntimeError('No input variables found for layer %s.' % name)
          elif len(self.terminals) == 1:
              layer_input = self.terminals[0]
          else:
              layer_input = list(self.terminals)
          # Perform the operation and get the output.
          layer_output = op(self, layer_input, *args, **kwargs)
          # Add to layer LUT.
          self.layers[name] = layer_output
          # This output is now the input for the next layer.
          self.feed(layer_output)
          # Return self for chained calls.
          return self
  
      return layer_decorated
  
  class Network(object):
  
      def __init__(self, inputs, trainable=True):
          # The input nodes for this network
          self.inputs = inputs
          # The current list of terminal nodes
          self.terminals = []
          # Mapping from layer names to layers
          self.layers = dict(inputs)
          # If true, the resulting variables are set as trainable
          self.trainable = trainable
  
          self.setup()
  
      def setup(self):
          '''Construct the network. '''
          raise NotImplementedError('Must be implemented by the subclass.')
  
      def load(self, data_path, session, ignore_missing=False):
          '''Load network weights.
          data_path: The path to the numpy-serialized network weights
          session: The current TensorFlow session
          ignore_missing: If true, serialized weights for missing layers are ignored.
          '''
          data_dict = np.load(data_path, encoding='latin1').item() #pylint: disable=no-member
  
          for op_name in data_dict:
              with tf.variable_scope(op_name, reuse=True):
                  for param_name, data in iteritems(data_dict[op_name]):
                      try:
                          var = tf.get_variable(param_name)
                          session.run(var.assign(data))
                      except ValueError:
                          if not ignore_missing:
                              raise
  
      def feed(self, *args):
          '''Set the input(s) for the next operation by replacing the terminal nodes.
          The arguments can be either layer names or the actual layers.
          '''
          assert len(args) != 0
          self.terminals = []
          for fed_layer in args:
              if isinstance(fed_layer, string_types):
                  try:
                      fed_layer = self.layers[fed_layer]
                  except KeyError:
                      raise KeyError('Unknown layer name fed: %s' % fed_layer)
              self.terminals.append(fed_layer)
          return self
  
      def get_output(self):
          '''Returns the current network output.'''
          return self.terminals[-1]
  
      def get_unique_name(self, prefix):
          '''Returns an index-suffixed unique name for the given prefix.
          This is used for auto-generating layer names based on the type-prefix.
          '''
          ident = sum(t.startswith(prefix) for t, _ in self.layers.items()) + 1
          return '%s_%d' % (prefix, ident)
  
      def make_var(self, name, shape):
          '''Creates a new TensorFlow variable.'''
          return tf.get_variable(name, shape, trainable=self.trainable)
  
      def validate_padding(self, padding):
          '''Verifies that the padding is one of the supported ones.'''
          assert padding in ('SAME', 'VALID')
  
      @layer
      def conv(self,
               inp,
               k_h,
               k_w,
               c_o,
               s_h,
               s_w,
               name,
               relu=True,
               padding='SAME',
               group=1,
               biased=True):
          # Verify that the padding is acceptable
          self.validate_padding(padding)
          # Get the number of channels in the input
          c_i = int(inp.get_shape()[-1])
          # Verify that the grouping parameter is valid
          assert c_i % group == 0
          assert c_o % group == 0
          # Convolution for a given input and kernel
          convolve = lambda i, k: tf.nn.conv2d(i, k, [1, s_h, s_w, 1], padding=padding)
          with tf.variable_scope(name) as scope:
              kernel = self.make_var('weights', shape=[k_h, k_w, c_i // group, c_o])
              # This is the common-case. Convolve the input without any further complications.
              output = convolve(inp, kernel)
              # Add the biases
              if biased:
                  biases = self.make_var('biases', [c_o])
                  output = tf.nn.bias_add(output, biases)
              if relu:
                  # ReLU non-linearity
                  output = tf.nn.relu(output, name=scope.name)
              return output
  
      @layer
      def prelu(self, inp, name):
          with tf.variable_scope(name):
              i = int(inp.get_shape()[-1])
              alpha = self.make_var('alpha', shape=(i,))
              output = tf.nn.relu(inp) + tf.multiply(alpha, -tf.nn.relu(-inp))
          return output
  
      @layer
      def max_pool(self, inp, k_h, k_w, s_h, s_w, name, padding='SAME'):
          self.validate_padding(padding)
          return tf.nn.max_pool(inp,
                                ksize=[1, k_h, k_w, 1],
                                strides=[1, s_h, s_w, 1],
                                padding=padding,
                                name=name)
  
      @layer
      def fc(self, inp, num_out, name, relu=True):
          with tf.variable_scope(name):
              input_shape = inp.get_shape()
              if input_shape.ndims == 4:
                  # The input is spatial. Vectorize it first.
                  dim = 1
                  for d in input_shape[1:].as_list():
                      dim *= int(d)
                  feed_in = tf.reshape(inp, [-1, dim])
              else:
                  feed_in, dim = (inp, input_shape[-1].value)
              weights = self.make_var('weights', shape=[dim, num_out])
              biases = self.make_var('biases', [num_out])
              op = tf.nn.relu_layer if relu else tf.nn.xw_plus_b
              fc = op(feed_in, weights, biases, name=name)
              return fc
  
  
      """
      Multi dimensional softmax,
      refer to https://github.com/tensorflow/tensorflow/issues/210
      compute softmax along the dimension of target
      the native softmax only supports batch_size x dimension
      """
      @layer
      def softmax(self, target, axis, name=None):
          max_axis = tf.reduce_max(target, axis, keep_dims=True)
          target_exp = tf.exp(target-max_axis)
          normalize = tf.reduce_sum(target_exp, axis, keep_dims=True)
          softmax = tf.div(target_exp, normalize, name)
          return softmax
      
  class PNet(Network):
      def setup(self):
          (self.feed('data') #pylint: disable=no-value-for-parameter, no-member
               .conv(3, 3, 10, 1, 1, padding='VALID', relu=False, name='conv1')
               .prelu(name='PReLU1')
               .max_pool(2, 2, 2, 2, name='pool1')
               .conv(3, 3, 16, 1, 1, padding='VALID', relu=False, name='conv2')
               .prelu(name='PReLU2')
               .conv(3, 3, 32, 1, 1, padding='VALID', relu=False, name='conv3')
               .prelu(name='PReLU3')
               .conv(1, 1, 2, 1, 1, relu=False, name='conv4-1')
               .softmax(3,name='prob1'))
  
          (self.feed('PReLU3') #pylint: disable=no-value-for-parameter
               .conv(1, 1, 4, 1, 1, relu=False, name='conv4-2'))
          
  class RNet(Network):
      def setup(self):
          (self.feed('data') #pylint: disable=no-value-for-parameter, no-member
               .conv(3, 3, 28, 1, 1, padding='VALID', relu=False, name='conv1')
               .prelu(name='prelu1')
               .max_pool(3, 3, 2, 2, name='pool1')
               .conv(3, 3, 48, 1, 1, padding='VALID', relu=False, name='conv2')
               .prelu(name='prelu2')
               .max_pool(3, 3, 2, 2, padding='VALID', name='pool2')
               .conv(2, 2, 64, 1, 1, padding='VALID', relu=False, name='conv3')
               .prelu(name='prelu3')
               .fc(128, relu=False, name='conv4')
               .prelu(name='prelu4')
               .fc(2, relu=False, name='conv5-1')
               .softmax(1,name='prob1'))
  
          (self.feed('prelu4') #pylint: disable=no-value-for-parameter
               .fc(4, relu=False, name='conv5-2'))
  
  class ONet(Network):
      def setup(self):
          (self.feed('data') #pylint: disable=no-value-for-parameter, no-member
               .conv(3, 3, 32, 1, 1, padding='VALID', relu=False, name='conv1')
               .prelu(name='prelu1')
               .max_pool(3, 3, 2, 2, name='pool1')
               .conv(3, 3, 64, 1, 1, padding='VALID', relu=False, name='conv2')
               .prelu(name='prelu2')
               .max_pool(3, 3, 2, 2, padding='VALID', name='pool2')
               .conv(3, 3, 64, 1, 1, padding='VALID', relu=False, name='conv3')
               .prelu(name='prelu3')
               .max_pool(2, 2, 2, 2, name='pool3')
               .conv(2, 2, 128, 1, 1, padding='VALID', relu=False, name='conv4')
               .prelu(name='prelu4')
               .fc(256, relu=False, name='conv5')
               .prelu(name='prelu5')
               .fc(2, relu=False, name='conv6-1')
               .softmax(1, name='prob1'))
  
          (self.feed('prelu5') #pylint: disable=no-value-for-parameter
               .fc(4, relu=False, name='conv6-2'))
  
          (self.feed('prelu5') #pylint: disable=no-value-for-parameter
               .fc(10, relu=False, name='conv6-3'))
  
  def create_mtcnn(sess, model_path):
      if not model_path:
          model_path,_ = os.path.split(os.path.realpath(__file__))
  
      with tf.variable_scope('pnet'):
          data = tf.placeholder(tf.float32, (None,None,None,3), 'input')
          pnet = PNet({'data':data})
          pnet.load(os.path.join(model_path, '../weights/det1.npy'), sess)
      with tf.variable_scope('rnet'):
          data = tf.placeholder(tf.float32, (None,24,24,3), 'input')
          rnet = RNet({'data':data})
          rnet.load(os.path.join(model_path, '../weights/det2.npy'), sess)
      with tf.variable_scope('onet'):
          data = tf.placeholder(tf.float32, (None,48,48,3), 'input')
          onet = ONet({'data':data})
          onet.load(os.path.join(model_path, '../weights/det3.npy'), sess)
          
      pnet_fun = lambda img : sess.run(('pnet/conv4-2/BiasAdd:0', 'pnet/prob1:0'), feed_dict={'pnet/input:0':img})
      rnet_fun = lambda img : sess.run(('rnet/conv5-2/conv5-2:0', 'rnet/prob1:0'), feed_dict={'rnet/input:0':img})
      onet_fun = lambda img : sess.run(('onet/conv6-2/conv6-2:0', 'onet/conv6-3/conv6-3:0', 'onet/prob1:0'), feed_dict={'onet/input:0':img})
      return pnet_fun, rnet_fun, onet_fun
  
  def detect_face(img, minsize, pnet, rnet, onet, threshold, factor):
      # im: input image
      # minsize: minimum of faces' size
      # pnet, rnet, onet: caffemodel
      # threshold: threshold=[th1 th2 th3], th1-3 are three steps's threshold
      # fastresize: resize img from last scale (using in high-resolution images) if fastresize==true
      factor_count=0
      total_boxes=np.empty((0,9))
      points=np.empty(0)
      h=img.shape[0]
      w=img.shape[1]
      minl=np.amin([h, w])
      m=12.0/minsize
      minl=minl*m
      # creat scale pyramid
      scales=[]
      while minl>=12:
          scales += [m*np.power(factor, factor_count)]
          minl = minl*factor
          factor_count += 1
  
      # first stage
      for j in range(len(scales)):
          scale=scales[j]
          hs=int(np.ceil(h*scale))
          ws=int(np.ceil(w*scale))
          im_data = imresample(img, (hs, ws))
          im_data = (im_data-127.5)*0.0078125
          img_x = np.expand_dims(im_data, 0)
          img_y = np.transpose(img_x, (0,2,1,3))
          out = pnet(img_y)
          out0 = np.transpose(out[0], (0,2,1,3))
          out1 = np.transpose(out[1], (0,2,1,3))
          
          boxes, _ = generateBoundingBox(out1[0,:,:,1].copy(), out0[0,:,:,:].copy(), scale, threshold[0])
          
          # inter-scale nms
          pick = nms(boxes.copy(), 0.5, 'Union')
          if boxes.size>0 and pick.size>0:
              boxes = boxes[pick,:]
              total_boxes = np.append(total_boxes, boxes, axis=0)
  
      numbox = total_boxes.shape[0]
      if numbox>0:
          pick = nms(total_boxes.copy(), 0.7, 'Union')
          total_boxes = total_boxes[pick,:]
          regw = total_boxes[:,2]-total_boxes[:,0]
          regh = total_boxes[:,3]-total_boxes[:,1]
          qq1 = total_boxes[:,0]+total_boxes[:,5]*regw
          qq2 = total_boxes[:,1]+total_boxes[:,6]*regh
          qq3 = total_boxes[:,2]+total_boxes[:,7]*regw
          qq4 = total_boxes[:,3]+total_boxes[:,8]*regh
          total_boxes = np.transpose(np.vstack([qq1, qq2, qq3, qq4, total_boxes[:,4]]))
          total_boxes = rerec(total_boxes.copy())
          total_boxes[:,0:4] = np.fix(total_boxes[:,0:4]).astype(np.int32)
          dy, edy, dx, edx, y, ey, x, ex, tmpw, tmph = pad(total_boxes.copy(), w, h)
  
      numbox = total_boxes.shape[0]
      if numbox>0:
          # second stage
          tempimg = np.zeros((24,24,3,numbox))
          for k in range(0,numbox):
              tmp = np.zeros((int(tmph[k]),int(tmpw[k]),3))
              tmp[dy[k]-1:edy[k],dx[k]-1:edx[k],:] = img[y[k]-1:ey[k],x[k]-1:ex[k],:]
              if tmp.shape[0]>0 and tmp.shape[1]>0 or tmp.shape[0]==0 and tmp.shape[1]==0:
                  tempimg[:,:,:,k] = imresample(tmp, (24, 24))
              else:
                  return np.empty()
          tempimg = (tempimg-127.5)*0.0078125
          tempimg1 = np.transpose(tempimg, (3,1,0,2))
          out = rnet(tempimg1)
          out0 = np.transpose(out[0])
          out1 = np.transpose(out[1])
          score = out1[1,:]
          ipass = np.where(score>threshold[1])
          total_boxes = np.hstack([total_boxes[ipass[0],0:4].copy(), np.expand_dims(score[ipass].copy(),1)])
          mv = out0[:,ipass[0]]
          if total_boxes.shape[0]>0:
              pick = nms(total_boxes, 0.7, 'Union')
              total_boxes = total_boxes[pick,:]
              total_boxes = bbreg(total_boxes.copy(), np.transpose(mv[:,pick]))
              total_boxes = rerec(total_boxes.copy())
  
      numbox = total_boxes.shape[0]
      if numbox>0:
          # third stage
          total_boxes = np.fix(total_boxes).astype(np.int32)
          dy, edy, dx, edx, y, ey, x, ex, tmpw, tmph = pad(total_boxes.copy(), w, h)
          tempimg = np.zeros((48,48,3,numbox))
          for k in range(0,numbox):
              tmp = np.zeros((int(tmph[k]),int(tmpw[k]),3))
              tmp[dy[k]-1:edy[k],dx[k]-1:edx[k],:] = img[y[k]-1:ey[k],x[k]-1:ex[k],:]
              if tmp.shape[0]>0 and tmp.shape[1]>0 or tmp.shape[0]==0 and tmp.shape[1]==0:
                  tempimg[:,:,:,k] = imresample(tmp, (48, 48))
              else:
                  return np.empty()
          tempimg = (tempimg-127.5)*0.0078125
          tempimg1 = np.transpose(tempimg, (3,1,0,2))
          out = onet(tempimg1)
          out0 = np.transpose(out[0])
          out1 = np.transpose(out[1])
          out2 = np.transpose(out[2])
          score = out2[1,:]
          points = out1
          ipass = np.where(score>threshold[2])
          points = points[:,ipass[0]]
          total_boxes = np.hstack([total_boxes[ipass[0],0:4].copy(), np.expand_dims(score[ipass].copy(),1)])
          mv = out0[:,ipass[0]]
  
          w = total_boxes[:,2]-total_boxes[:,0]+1
          h = total_boxes[:,3]-total_boxes[:,1]+1
          points[0:5,:] = np.tile(w,(5, 1))*points[0:5,:] + np.tile(total_boxes[:,0],(5, 1))-1
          points[5:10,:] = np.tile(h,(5, 1))*points[5:10,:] + np.tile(total_boxes[:,1],(5, 1))-1
          if total_boxes.shape[0]>0:
              total_boxes = bbreg(total_boxes.copy(), np.transpose(mv))
              pick = nms(total_boxes.copy(), 0.7, 'Min')
              total_boxes = total_boxes[pick,:]
              points = points[:,pick]
                  
      return total_boxes, points
  
  
  def bulk_detect_face(images, detection_window_size_ratio, pnet, rnet, onet, threshold, factor):
      # im: input image
      # minsize: minimum of faces' size
      # pnet, rnet, onet: caffemodel
      # threshold: threshold=[th1 th2 th3], th1-3 are three steps's threshold [0-1]
  
      all_scales = [None] * len(images)
      images_with_boxes = [None] * len(images)
  
      for i in range(len(images)):
          images_with_boxes[i] = {'total_boxes': np.empty((0, 9))}
  
      # create scale pyramid
      for index, img in enumerate(images):
          all_scales[index] = []
          h = img.shape[0]
          w = img.shape[1]
          minsize = int(detection_window_size_ratio * np.minimum(w, h))
          factor_count = 0
          minl = np.amin([h, w])
          if minsize <= 12:
              minsize = 12
  
          m = 12.0 / minsize
          minl = minl * m
          while minl >= 12:
              all_scales[index].append(m * np.power(factor, factor_count))
              minl = minl * factor
              factor_count += 1
  
      # # # # # # # # # # # # #
      # first stage - fast proposal network (pnet) to obtain face candidates
      # # # # # # # # # # # # #
  
      images_obj_per_resolution = {}
  
      # TODO: use some type of rounding to number module 8 to increase probability that pyramid images will have the same resolution across input images
  
      for index, scales in enumerate(all_scales):
          h = images[index].shape[0]
          w = images[index].shape[1]
  
          for scale in scales:
              hs = int(np.ceil(h * scale))
              ws = int(np.ceil(w * scale))
  
              if (ws, hs) not in images_obj_per_resolution:
                  images_obj_per_resolution[(ws, hs)] = []
  
              im_data = imresample(images[index], (hs, ws))
              im_data = (im_data - 127.5) * 0.0078125
              img_y = np.transpose(im_data, (1, 0, 2))  # caffe uses different dimensions ordering
              images_obj_per_resolution[(ws, hs)].append({'scale': scale, 'image': img_y, 'index': index})
  
      for resolution in images_obj_per_resolution:
          images_per_resolution = [i['image'] for i in images_obj_per_resolution[resolution]]
          outs = pnet(images_per_resolution)
  
          for index in range(len(outs[0])):
              scale = images_obj_per_resolution[resolution][index]['scale']
              image_index = images_obj_per_resolution[resolution][index]['index']
              out0 = np.transpose(outs[0][index], (1, 0, 2))
              out1 = np.transpose(outs[1][index], (1, 0, 2))
  
              boxes, _ = generateBoundingBox(out1[:, :, 1].copy(), out0[:, :, :].copy(), scale, threshold[0])
  
              # inter-scale nms
              pick = nms(boxes.copy(), 0.5, 'Union')
              if boxes.size > 0 and pick.size > 0:
                  boxes = boxes[pick, :]
                  images_with_boxes[image_index]['total_boxes'] = np.append(images_with_boxes[image_index]['total_boxes'],
                                                                            boxes,
                                                                            axis=0)
  
      for index, image_obj in enumerate(images_with_boxes):
          numbox = image_obj['total_boxes'].shape[0]
          if numbox > 0:
              h = images[index].shape[0]
              w = images[index].shape[1]
              pick = nms(image_obj['total_boxes'].copy(), 0.7, 'Union')
              image_obj['total_boxes'] = image_obj['total_boxes'][pick, :]
              regw = image_obj['total_boxes'][:, 2] - image_obj['total_boxes'][:, 0]
              regh = image_obj['total_boxes'][:, 3] - image_obj['total_boxes'][:, 1]
              qq1 = image_obj['total_boxes'][:, 0] + image_obj['total_boxes'][:, 5] * regw
              qq2 = image_obj['total_boxes'][:, 1] + image_obj['total_boxes'][:, 6] * regh
              qq3 = image_obj['total_boxes'][:, 2] + image_obj['total_boxes'][:, 7] * regw
              qq4 = image_obj['total_boxes'][:, 3] + image_obj['total_boxes'][:, 8] * regh
              image_obj['total_boxes'] = np.transpose(np.vstack([qq1, qq2, qq3, qq4, image_obj['total_boxes'][:, 4]]))
              image_obj['total_boxes'] = rerec(image_obj['total_boxes'].copy())
              image_obj['total_boxes'][:, 0:4] = np.fix(image_obj['total_boxes'][:, 0:4]).astype(np.int32)
              dy, edy, dx, edx, y, ey, x, ex, tmpw, tmph = pad(image_obj['total_boxes'].copy(), w, h)
  
              numbox = image_obj['total_boxes'].shape[0]
              tempimg = np.zeros((24, 24, 3, numbox))
  
              if numbox > 0:
                  for k in range(0, numbox):
                      tmp = np.zeros((int(tmph[k]), int(tmpw[k]), 3))
                      tmp[dy[k] - 1:edy[k], dx[k] - 1:edx[k], :] = images[index][y[k] - 1:ey[k], x[k] - 1:ex[k], :]
                      if tmp.shape[0] > 0 and tmp.shape[1] > 0 or tmp.shape[0] == 0 and tmp.shape[1] == 0:
                          tempimg[:, :, :, k] = imresample(tmp, (24, 24))
                      else:
                          return np.empty()
  
                  tempimg = (tempimg - 127.5) * 0.0078125
                  image_obj['rnet_input'] = np.transpose(tempimg, (3, 1, 0, 2))
  
      # # # # # # # # # # # # #
      # second stage - refinement of face candidates with rnet
      # # # # # # # # # # # # #
  
      bulk_rnet_input = np.empty((0, 24, 24, 3))
      for index, image_obj in enumerate(images_with_boxes):
          if 'rnet_input' in image_obj:
              bulk_rnet_input = np.append(bulk_rnet_input, image_obj['rnet_input'], axis=0)
  
      out = rnet(bulk_rnet_input)
      out0 = np.transpose(out[0])
      out1 = np.transpose(out[1])
      score = out1[1, :]
  
      i = 0
      for index, image_obj in enumerate(images_with_boxes):
          if 'rnet_input' not in image_obj:
              continue
  
          rnet_input_count = image_obj['rnet_input'].shape[0]
          score_per_image = score[i:i + rnet_input_count]
          out0_per_image = out0[:, i:i + rnet_input_count]
  
          ipass = np.where(score_per_image > threshold[1])
          image_obj['total_boxes'] = np.hstack([image_obj['total_boxes'][ipass[0], 0:4].copy(),
                                                np.expand_dims(score_per_image[ipass].copy(), 1)])
  
          mv = out0_per_image[:, ipass[0]]
  
          if image_obj['total_boxes'].shape[0] > 0:
              h = images[index].shape[0]
              w = images[index].shape[1]
              pick = nms(image_obj['total_boxes'], 0.7, 'Union')
              image_obj['total_boxes'] = image_obj['total_boxes'][pick, :]
              image_obj['total_boxes'] = bbreg(image_obj['total_boxes'].copy(), np.transpose(mv[:, pick]))
              image_obj['total_boxes'] = rerec(image_obj['total_boxes'].copy())
  
              numbox = image_obj['total_boxes'].shape[0]
  
              if numbox > 0:
                  tempimg = np.zeros((48, 48, 3, numbox))
                  image_obj['total_boxes'] = np.fix(image_obj['total_boxes']).astype(np.int32)
                  dy, edy, dx, edx, y, ey, x, ex, tmpw, tmph = pad(image_obj['total_boxes'].copy(), w, h)
  
                  for k in range(0, numbox):
                      tmp = np.zeros((int(tmph[k]), int(tmpw[k]), 3))
                      tmp[dy[k] - 1:edy[k], dx[k] - 1:edx[k], :] = images[index][y[k] - 1:ey[k], x[k] - 1:ex[k], :]
                      if tmp.shape[0] > 0 and tmp.shape[1] > 0 or tmp.shape[0] == 0 and tmp.shape[1] == 0:
                          tempimg[:, :, :, k] = imresample(tmp, (48, 48))
                      else:
                          return np.empty()
                  tempimg = (tempimg - 127.5) * 0.0078125
                  image_obj['onet_input'] = np.transpose(tempimg, (3, 1, 0, 2))
  
          i += rnet_input_count
  
      # # # # # # # # # # # # #
      # third stage - further refinement and facial landmarks positions with onet
      # # # # # # # # # # # # #
  
      bulk_onet_input = np.empty((0, 48, 48, 3))
      for index, image_obj in enumerate(images_with_boxes):
          if 'onet_input' in image_obj:
              bulk_onet_input = np.append(bulk_onet_input, image_obj['onet_input'], axis=0)
  
      out = onet(bulk_onet_input)
  
      out0 = np.transpose(out[0])
      out1 = np.transpose(out[1])
      out2 = np.transpose(out[2])
      score = out2[1, :]
      points = out1
  
      i = 0
      ret = []
      for index, image_obj in enumerate(images_with_boxes):
          if 'onet_input' not in image_obj:
              ret.append(None)
              continue
  
          onet_input_count = image_obj['onet_input'].shape[0]
  
          out0_per_image = out0[:, i:i + onet_input_count]
          score_per_image = score[i:i + onet_input_count]
          points_per_image = points[:, i:i + onet_input_count]
  
          ipass = np.where(score_per_image > threshold[2])
          points_per_image = points_per_image[:, ipass[0]]
  
          image_obj['total_boxes'] = np.hstack([image_obj['total_boxes'][ipass[0], 0:4].copy(),
                                                np.expand_dims(score_per_image[ipass].copy(), 1)])
          mv = out0_per_image[:, ipass[0]]
  
          w = image_obj['total_boxes'][:, 2] - image_obj['total_boxes'][:, 0] + 1
          h = image_obj['total_boxes'][:, 3] - image_obj['total_boxes'][:, 1] + 1
          points_per_image[0:5, :] = np.tile(w, (5, 1)) * points_per_image[0:5, :] + np.tile(
              image_obj['total_boxes'][:, 0], (5, 1)) - 1
          points_per_image[5:10, :] = np.tile(h, (5, 1)) * points_per_image[5:10, :] + np.tile(
              image_obj['total_boxes'][:, 1], (5, 1)) - 1
  
          if image_obj['total_boxes'].shape[0] > 0:
              image_obj['total_boxes'] = bbreg(image_obj['total_boxes'].copy(), np.transpose(mv))
              pick = nms(image_obj['total_boxes'].copy(), 0.7, 'Min')
              image_obj['total_boxes'] = image_obj['total_boxes'][pick, :]
              points_per_image = points_per_image[:, pick]
  
              ret.append((image_obj['total_boxes'], points_per_image))
          else:
              ret.append(None)
  
          i += onet_input_count
  
      return ret
  
  
  # function [boundingbox] = bbreg(boundingbox,reg)
  def bbreg(boundingbox,reg):
      # calibrate bounding boxes
      if reg.shape[1]==1:
          reg = np.reshape(reg, (reg.shape[2], reg.shape[3]))
  
      w = boundingbox[:,2]-boundingbox[:,0]+1
      h = boundingbox[:,3]-boundingbox[:,1]+1
      b1 = boundingbox[:,0]+reg[:,0]*w
      b2 = boundingbox[:,1]+reg[:,1]*h
      b3 = boundingbox[:,2]+reg[:,2]*w
      b4 = boundingbox[:,3]+reg[:,3]*h
      boundingbox[:,0:4] = np.transpose(np.vstack([b1, b2, b3, b4 ]))
      return boundingbox
   
  def generateBoundingBox(imap, reg, scale, t):
      # use heatmap to generate bounding boxes
      stride=2
      cellsize=12
  
      imap = np.transpose(imap)
      dx1 = np.transpose(reg[:,:,0])
      dy1 = np.transpose(reg[:,:,1])
      dx2 = np.transpose(reg[:,:,2])
      dy2 = np.transpose(reg[:,:,3])
      y, x = np.where(imap >= t)
      if y.shape[0]==1:
          dx1 = np.flipud(dx1)
          dy1 = np.flipud(dy1)
          dx2 = np.flipud(dx2)
          dy2 = np.flipud(dy2)
      score = imap[(y,x)]
      reg = np.transpose(np.vstack([ dx1[(y,x)], dy1[(y,x)], dx2[(y,x)], dy2[(y,x)] ]))
      if reg.size==0:
          reg = np.empty((0,3))
      bb = np.transpose(np.vstack([y,x]))
      q1 = np.fix((stride*bb+1)/scale)
      q2 = np.fix((stride*bb+cellsize-1+1)/scale)
      boundingbox = np.hstack([q1, q2, np.expand_dims(score,1), reg])
      return boundingbox, reg
   
  # function pick = nms(boxes,threshold,type)
  def nms(boxes, threshold, method):
      if boxes.size==0:
          return np.empty((0,3))
      x1 = boxes[:,0]
      y1 = boxes[:,1]
      x2 = boxes[:,2]
      y2 = boxes[:,3]
      s = boxes[:,4]
      area = (x2-x1+1) * (y2-y1+1)
      I = np.argsort(s)
      pick = np.zeros_like(s, dtype=np.int16)
      counter = 0
      while I.size>0:
          i = I[-1]
          pick[counter] = i
          counter += 1
          idx = I[0:-1]
          xx1 = np.maximum(x1[i], x1[idx])
          yy1 = np.maximum(y1[i], y1[idx])
          xx2 = np.minimum(x2[i], x2[idx])
          yy2 = np.minimum(y2[i], y2[idx])
          w = np.maximum(0.0, xx2-xx1+1)
          h = np.maximum(0.0, yy2-yy1+1)
          inter = w * h
          if method is 'Min':
              o = inter / np.minimum(area[i], area[idx])
          else:
              o = inter / (area[i] + area[idx] - inter)
          I = I[np.where(o<=threshold)]
      pick = pick[0:counter]
      return pick
  
  # function [dy edy dx edx y ey x ex tmpw tmph] = pad(total_boxes,w,h)
  def pad(total_boxes, w, h):
      # compute the padding coordinates (pad the bounding boxes to square)
      tmpw = (total_boxes[:,2]-total_boxes[:,0]+1).astype(np.int32)
      tmph = (total_boxes[:,3]-total_boxes[:,1]+1).astype(np.int32)
      numbox = total_boxes.shape[0]
  
      dx = np.ones((numbox), dtype=np.int32)
      dy = np.ones((numbox), dtype=np.int32)
      edx = tmpw.copy().astype(np.int32)
      edy = tmph.copy().astype(np.int32)
  
      x = total_boxes[:,0].copy().astype(np.int32)
      y = total_boxes[:,1].copy().astype(np.int32)
      ex = total_boxes[:,2].copy().astype(np.int32)
      ey = total_boxes[:,3].copy().astype(np.int32)
  
      tmp = np.where(ex>w)
      edx.flat[tmp] = np.expand_dims(-ex[tmp]+w+tmpw[tmp],1)
      ex[tmp] = w
      
      tmp = np.where(ey>h)
      edy.flat[tmp] = np.expand_dims(-ey[tmp]+h+tmph[tmp],1)
      ey[tmp] = h
  
      tmp = np.where(x<1)
      dx.flat[tmp] = np.expand_dims(2-x[tmp],1)
      x[tmp] = 1
  
      tmp = np.where(y<1)
      dy.flat[tmp] = np.expand_dims(2-y[tmp],1)
      y[tmp] = 1
      
      return dy, edy, dx, edx, y, ey, x, ex, tmpw, tmph
  
  # function [bboxA] = rerec(bboxA)
  def rerec(bboxA):
      # convert bboxA to square
      h = bboxA[:,3]-bboxA[:,1]
      w = bboxA[:,2]-bboxA[:,0]
      l = np.maximum(w, h)
      bboxA[:,0] = bboxA[:,0]+w*0.5-l*0.5
      bboxA[:,1] = bboxA[:,1]+h*0.5-l*0.5
      bboxA[:,2:4] = bboxA[:,0:2] + np.transpose(np.tile(l,(2,1)))
      return bboxA
  
  def imresample(img, sz):
      im_data = cv2.resize(img, (sz[1], sz[0]), interpolation=cv2.INTER_AREA) #@UndefinedVariable
      return im_data
  
      # This method is kept for debugging purpose
  #     h=img.shape[0]
  #     w=img.shape[1]
  #     hs, ws = sz
  #     dx = float(w) / ws
  #     dy = float(h) / hs
  #     im_data = np.zeros((hs,ws,3))
  #     for a1 in range(0,hs):
  #         for a2 in range(0,ws):
  #             for a3 in range(0,3):
  #                 im_data[a1,a2,a3] = img[int(floor(a1*dy)),int(floor(a2*dx)),a3]
  #     return im_data
  
  