function perspective($i,$gradient=0.9,$rightdown=true,$background=0xFFFFFF) {
    $mult=3;
    $w=imagesx($i);
    $h=imagesy($i);
    $image=imagecreatetruecolor($w*$mult,$h*$mult);
    imagecopyresized($image,$i,0,0,0,0,$w*$mult,$h*$mult,$w,$h);
    imagedestroy($i);
    $w*=$mult;
    $h*=$mult;
    $im=imagecreatetruecolor($w,$h);
    $background=imagecolorallocate($im,($background>>16)&0xFF,($background>>8)&0xFF,$background&0xFF);
    imagefill($im,0,0,$background);
    imageantialias($im,true);
    $nh=$h-($h*$gradient);
    for ($x=0; $x<$w; $x++) {
        $ni=(($rightdown) ? $x : $w-$x);
        $p=intval($h-(($ni/$w)*$nh));
        if (($p%2)<>0)
        $p-=1;
        $nx=intval(($p-$h)/2);
        imagecopyresampled($im,$image,$x,0,$x,$nx,1,$p,1,$h-1);
        imageline($im,$x,$h-1,$x,$h+$nx,$background);
        imageline($im,$x,0,$x,-$nx-1,$background);
    }
    imagedestroy($image);
    imagefilter($im,IMG_FILTER_SMOOTH,10);
    $i=imagecreatetruecolor($w/$mult,$h/$mult);
    imageantialias($i,true);
    imagecopyresampled($i,$im,0,0,0,0,$w,$h,$w*$mult,$h*$mult);
    imagedestroy($im);
    return $i;
 }

function makeTrapeziumImage($image, $gradient, $rightToLeft = false, $background = 0xFFFFFF, $supersampleScale = 3) {
  $originalWidth = imagesx($image);
  $originalHeight = imagesy($image);

  $supersampledWidth = $originalWidth * $supersampleScale;
  $supersampledHeight = $originalHeight * $supersampleScale;

  $supersampledImage = imagecreatetruecolor($supersampledWidth, $supersampledHeight);

  imagecopyresized($supersampledImage, $image,
                   0, 0, 0, 0,
                   $supersampledWidth, $supersampledHeight, $originalWidth, $originalHeight);

  $workingImage = imagecreatetruecolor($supersampledWidth, $supersampledHeight);

  $backgroundColour = imagecolorallocate($workingImage, ($background >> 16) & 0xFF, ($background >> 8) & 0xFF, $background & 0xFF);
  imagefill($workingImage, 0, 0, $backgroundColour);

  imageantialias($workingImage,true);

  $endHeight = $supersampledHeight - ($supersampledHeight * $gradient);

  for ($x = 0; $x < $supersampledWidth; $x++) {
    $cX = ($rightToLeft ? $supersampledWidth - $x : $x);

    $dstHeight = $supersampledHeight - ((($cX + 1) / $supersampledWidth) * $endHeight);

    $dstY = intval(($supersampledHeight - $dstHeight) / 2) - 1; // -1 required as zero-indexed
    $dstY = ($dstY < 0 ? 0 : $dstY); // Rounding can make $dstY = -1

    $dstHeight = intval($dstHeight); // Round the height after calculating $dstY

    imagecopyresampled($workingImage, $supersampledImage,
                       $cX, $dstY, $cX, 0,
                       1, $dstHeight, 1, $supersampledHeight);
  }

  imagedestroy($supersampledImage);
  imagefilter($workingImage, IMG_FILTER_SMOOTH, 10);

  $resizedImage = imagecreatetruecolor($originalWidth, $originalHeight);
  imageantialias($resizedImage, true);

  imagecopyresampled($resizedImage, $workingImage,
                     0, 0, 0, 0,
                     $originalWidth, $originalHeight, $supersampledWidth, $supersampledHeight);

  imagedestroy($workingImage);

  return $resizedImage;
}