Custom Post Type Conversion

Can anyone help with how to use this with a custom post type?

$cat_args = array(
			'orderby' => 'name',
			'order' => 'ASC'
		);
		$categories = get_categories($cat_args);

		foreach($categories as $category) {

			$args = array(
					'category' => $category->term_id
			);
			$posts = get_posts($args);

			if ($posts) {

				echo '<p>Category: <a href="' . get_category_link( $category->term_id ) . '" title="' . sprintf( __( "View all posts in %s" ), $category->name ) . '" ' . '>' . $category->name.'</a> </p> ';

				foreach($posts as $post) {
					setup_postdata($post); ?>
					<p><a href="<?php the_permalink() ?>" rel="bookmark" title="Permanent Link to <?php the_title_attribute(); ?>"><?php the_title(); ?></a></p>
					<?php
				} // END foreach ($posts)
			} // END if ($posts)
		} // END foreach($categories)