WooCommerce Product Categories With Description And Thumbnail

I am using the below codes to show all WooCommerece Parent Products categories with title and link on a page. But I want to show WooCommerece Parent Products categories description, thumbnail and post count in it too. So how I can get those too along title and link.

<?php
  $taxonomy     = 'product_cat';
  $orderby      = 'name';  
  $show_count   = 0;      // 1 for yes, 0 for no
  $pad_counts   = 0;      // 1 for yes, 0 for no
  $hierarchical = 1;      // 1 for yes, 0 for no  
  $title        = '';  
  $empty        = 0;
$args = array(
  'taxonomy'     => $taxonomy,
  'orderby'      => $orderby,
  'show_count'   => $show_count,
  'pad_counts'   => $pad_counts,
  'hierarchical' => $hierarchical,
  'title_li'     => $title,
  'hide_empty'   => $empty
);
?>
<?php $all_categories = get_categories( $args );
foreach ($all_categories as $cat) {
    if($cat->category_parent == 0) {
        $category_id = $cat->term_id;
?>      
<?php echo '<br /><a href="'. get_term_link($cat->slug, 'product_cat') .'">'. $cat->name .'</a>'; ?>
<?php
} 
}
?>

Note: I will give warm welcome to those who also help me to short the upper code more as I think it have some extra stuff...