Translate 3D object onto 2D space

image_test.php

<?php
function RotatePoint($sin,$cos,$x,$y) {
    return array($x*$cos - $y*$sin, $y*$cos + $x*$sin);
}

function draw_boxes($image_name, $image_size, $boxes)
{
	$image = imagecreatetruecolor($image_size, $image_size);
	imageantialias($image, true);
	$white = imagecolorallocate($image, 255, 255, 255);
	imagefilledrectangle($image, 0, 0, $image_size, $image_size, $white);

	$brown = imagecolorallocate($image, 120, 53, 31);
	$green = imagecolorallocate($image, 23, 255, 65);
	$blue = imagecolorallocate($image, 31, 23, 255);
	$orange = imagecolorallocate($image, 255, 185, 23);
	
	$camx = 0;
	$camy = 0;
	$camz = 0;

	$yaw = deg2rad(-25);
	$pitch = deg2rad(55);
	$sy = sin(-$yaw); $cy = cos(-$yaw); $sp = sin(-$pitch); $cp = cos(-$pitch);
	
	$scale = 1;
	$x_adjustment = ($image_size-20)/2;
	$z_adjustment = ($image_size-20)/2;
	
	$boxes[0]['color'] = $brown;
	$boxes[] = $boxes[0];
	$temp_boxes = array();
	foreach ($boxes as $box_num => $box)
	{
		$temp_boxes[] = $box;
		if (isset($box['fill']) && $box['fill'] === true)
		{
			$box['fill'] = false;
			$box['color'] = imagecolorallocate($image, 70, 70, 70);
			$temp_boxes[] = $box;
		}
	}
	$boxes = $temp_boxes;
	
	foreach ($boxes as $box_num => $box)
	{
		$width = $box['width'];
		$length = $box['length'];
		$height = $box['height'];
		
		$start_x = $box['start'][0];
		$start_y = $box['start'][1];
		$start_z = $box['start'][2];

		$faces = array();
		// Draw 6 faces
		for ($i = 0; $i < 6; $i++)
		{
			switch ($i)
			{
				case 0:
					$face = array(
						array($start_x, $start_y, $start_z),
						array($start_x+$width, $start_y, $start_z),
						array($start_x+$width, $start_y, $start_z+$height),
						array($start_x, $start_y, $start_z+$height)
					);
					break;
				case 1:
					$face = array(
						array($start_x, $start_y+$length, $start_z),
						array($start_x+$width, $start_y+$length, $start_z),
						array($start_x+$width, $start_y+$length, $start_z+$height),
						array($start_x, $start_y+$length, $start_z+$height)
					);
					break;
				case 2:
					$face = array(
						array($start_x, $start_y, $start_z),
						array($start_x, $start_y+$length, $start_z),
						array($start_x, $start_y+$length, $start_z+$height),
						array($start_x, $start_y, $start_z+$height)
					);
					break;
				case 3:
					$face = array(
						array($start_x+$width, $start_y, $start_z),
						array($start_x+$width, $start_y+$length, $start_z),
						array($start_x+$width, $start_y+$length, $start_z+$height),
						array($start_x+$width, $start_y, $start_z+$height)
					);
					break;
				case 4:
					$face = array(
						array($start_x, $start_y, $start_z+$height),
						array($start_x+$width, $start_y, $start_z+$height),
						array($start_x+$width, $start_y+$length, $start_z+$height),
						array($start_x, $start_y+$length, $start_z+$height)
					);
					break;
				case 5:
					$face = array(
						array($start_x, $start_y, $start_z),
						array($start_x+$width, $start_y, $start_z),
						array($start_x+$width, $start_y+$length, $start_z),
						array($start_x, $start_y+$length, $start_z)
					);
					break;
			}
			
			foreach ($face as $key => $point)
			{
				$x = $point[0] - $camx; 
				$y = $point[1] - $camy; 
				$z = $point[2] - $camz;

				$rot = RotatePoint($sy,$cy,$x,$y);
				$face[$key]['x'] = $rot[0];
				$face[$key]['y'] = $rot[1];

				$rot = RotatePoint($sp,$cp,$z,$face[$key]['y']);
				$face[$key]['z'] = $rot[0];
				$face[$key]['y'] = $rot[1];
			}
			$faces[] = $face;
		}
		
		// BOX 0 SHOULD BE THE LARGEST SO WE CAN FIND THE BOUNDRIES AND SET THE SCALE AND ADJUSTMENTS TO CENTER THE IMAGE
		if ($box_num == 0)
		{
			$min_x = 100000;
			$max_x = -100000;
			$min_z = 100000;
			$max_z = -100000;
			
			foreach ($faces as $face)
			{
				foreach ($face as $point)
				{
					if ($point['x'] < $min_x) $min_x = $point['x'];
					if ($point['x'] > $max_x) $max_x = $point['x'];
					
					if ($point['z'] < $min_z) $min_z = $point['z'];
					if ($point['z'] > $max_z) $max_z = $point['z'];
				}
			}

			$diff_x = $max_x - $min_x;
			$diff_z = $max_z - $min_z;
			
			$scale = ($image_size-20)/max(array($diff_x, $diff_z));
			
			$min_x = $min_x*$scale;
			$min_z = $min_z*$scale;
			$max_x = $max_x*$scale;
			$max_z = $max_z*$scale;
			
			$diff_x = $max_x - $min_x;
			$diff_z = $max_z - $min_z;
			
			$x_adjustment = abs($min_x)+10+((($image_size-20)-$diff_x)/2);
			$z_adjustment = abs($max_z)+10+((($image_size-20)-$diff_z)/2);
		}
		
		foreach ($faces as $face)
		{
			$polygon = array();
			foreach ($face as $point)
			{
				$x = $point['x'];
				$z = $point['z'];
				
				$x = $x*$scale;
				$z = $z*$scale;
			
				$x = ($x+$x_adjustment);
				$z = ($z_adjustment-$z);
			
				$polygon[] = $x;
				$polygon[] = $z;
			}
		
			if (isset($box['fill']) && $box['fill'] === true)
			{
				imagefilledpolygon($image, $polygon, 4, $orange);
			}
			else
			{
				$color = $green;
				if (isset($box['color'])) $color = $box['color'];
				imagepolygon($image, $polygon, 4, $color);
			}
		}
	}
	
	imagepng($image, './image.png');
	imagedestroy($image);
	
	return true;
}

// THE FIRST BOX SHOULD BE YOUR LARGEST.  IF ANY ARE FILLED, PUT THOSE NEXT
$boxes = array();
$boxes[] = array('start' => array(0, 0, 0), 'width' => 80, 'length' => 55, 'height' => 80);
$boxes[] = array('start' => array(40, 0, 0), 'width' => 15, 'length' => 40, 'height' => 80, 'fill' => true);
$boxes[] = array('start' => array(0, 0, 0), 'width' => 40, 'length' => 40, 'height' => 40);
$boxes[] = array('start' => array(0, 0, 40), 'width' => 30, 'length' => 20, 'height' => 40);

// THE FUNCTION ADDS A 20 PIXEL PADDING TO THE IMAGE SO THE TRUE SIZE IS 400
draw_boxes('./image.png', 420, $boxes);
?>
<img src="image.png">