imagepng(imagecreatefromstring(file_get_contents($filename)), "output.png");

$extension = strtolower(pathinfo($filename, PATHINFO_EXTENSION));
switch ($extension) {
    case 'jpg':
    case 'jpeg':
       $image = imagecreatefromjpeg($filename);
    break;
    case 'gif':
       $image = imagecreatefromgif($filename);
    break;
    case 'png':
       $image = imagecreatefrompng($filename);
    break;
}

imagepng($image, $new_filename, $quality);

<form method="post" enctype="multipart/form-data">
<input type="file" name="image" />
<input type="submit" name="submit" value="Submit" />
</form>

<?php
if(isset($_POST['submit']))
{
    if(exif_imagetype($_FILES['image']['tmp_name']) ==  IMAGETYPE_GIF)
    {
        $newpng = 'image.png';
        $png = imagepng(imagecreatefromgif($_FILES['image']['tmp_name']), $newpng);
    }
    elseif(exif_imagetype($_FILES['image']['tmp_name']) ==  IMAGETYPE_JPEG)
    {
        $newpng = 'image.png';
        $png = imagepng(imagecreatefromjpeg($_FILES['image']['tmp_name']), $newpng);
    }
    else //already png
    {
        $newpng = 'image.png';
    }
}
?>

switch (exif_imagetype($image)) {
    case IMAGETYPE_GIF :
        $img = imagecreatefromgif($image);
        break;
    case IMAGETYPE_JPEG :
        $img = imagecreatefromjpeg($image);
        break;
    default :
        throw new InvalidArgumentException('Invalid image type');
}

imagepng($img, $filename);