How to use image upload widget in a FAPI form?

I'm searching for that too!!!

Do you know how to populate the images' information in a table?! I would like to do something similar to the image upload form.

Any ideas?

I have work example

function MODULE_NAME_theme() {
    return array(
      'MODULE_NAME_image' => array(
        'render element' => 'form',
      ),
    );
}

function theme_MODULE_NAME_image($variables) {
    $form = $variables['form'];
    if(isset($form['#file']->uri))
        $form['identity_image']['#markup'] = theme('image_style', array('style_name' => 'thumbnail', 'path' => file_build_uri(file_uri_target($form['#file']->uri))));
    $output = drupal_render_children($form);
    return $output;
}

function MODULE_NAME_form($form, &$form_state) {
    $form = array();
        $form = array();
        $form['identity_image'] = array(
          '#title' => t('Upload photo document'),
          '#type' => 'managed_file',
          '#required' => true,
          '#upload_location' => 'public://identity/'.$order->uid.'/',
          '#upload_validators' => array(
            'file_validate_extensions' => array('jpg png jpeg'),
          ),
          '#theme' => 'MODULE_NAME_image',
        );
        $form['submit'] = array(
          '#type' => 'submit',
          '#value' => t('Approved'),
        );
return $form;
}

// in from builder function

$form['managed_file'] = array(
  '#process' => array('custom_managed_file_element_process'),
  '#title' => t('Managed file example'),
  '#type' => 'managed_file',
  '#upload_validators' => array('file_validate_extensions' => array('jpeg jpg png gif')),
  '#upload_location' => $path_uri,
  '#progress_indicator' => 'bar',
  '#progress_message' => 'One moment while we save your file...',
  '#theme' => 'image_widget',
  '#attached' => array(
    'css' => array(
      'image-preview' => drupal_get_path('module', 'image') . '/image.css',
    ),
  ),
);

// managed file elements process callback

function custom_managed_file_element_process($element, &$form_state, $form) {

  $element = file_managed_file_process($element, $form_state, $form);
  
  $element['#pre_render'][] = 'custom_managed_file_element_preview';
  
  return $element;
}

// elements pre render callback

function custom_managed_file_element_preview(array $element) {

  if (empty($element['#file'])) {
    hide($element['remove_button']);
  }
  else {

    $file = $element['#file'];
    hide($element['upload']);
    hide($element['upload_button']);

    if (!file_validate_is_image($file)) {
      $info = image_get_info($file->uri);
      $variables = [
        'alt' => $file->filename,
        'path' => $file->uri,
        'style_name' => 'thumbnail',
        'attributes' => [
          'class' => ['upload-preview'],
        ],
      ];

      if (is_array($info)) {
        $variables += $info;
      }

      // Add the additional alt and title fields.
      $element['alt'] = array(
        '#title' => t('Alternate text'),
        '#type' => 'textfield',
        '#default_value' => 'some alt text',
        '#description' => t('This text will be used by screen readers, search engines, or when the image cannot be loaded.'),
        // @see http://www.gawds.org/show.php?contentid=28
        '#maxlength' => 512,
        '#weight' => -148,

      );
      $element['title'] = array(
        '#type' => 'textfield',
        '#title' => t('Title'),
        '#default_value' => 'some title here',
        '#description' => t('The title is used as a tool tip when the user hovers the mouse over the image.'),
        '#maxlength' => 1024,
        '#weight' => -149,
      );

      $element['preview'] = [
        '#type' => 'markup',
        '#weight' => -150,
        '#markup' => theme('image_style', $variables),
      ];
    }
  }

  return $element;

}