If you know the actual model of the panel, not the laptop, you can usually get a LVDS controller from China via eBay. Such as this one:http://www.ebay.com/itm/LCD-Controller- ... 19d3ace066
Near as I can tell, that will directly interface with the LCD panel and give it a VGA input. The key thing is to know the actual panel manufacturer and model number. Usually that is obtainable if you take off the plastic laptop housing around the screen.
The problem with rolling your own solution is the intense complexity of doing so. Take a trip 'round Google for the topic you just posted and you'll see that people have been trying to do this for years, without much luck. It seems that these controllers have become available somewhat recently.