Hi,
I am a Mechatronics and Control Engineer, you can check my work on my blog [login to view URL] , I am expert in embedded systems and have worked on very same TFT LCD, I have interfaced this LCD with Arduino Mega board, and I can easily interface it with MBed as I am familiar with it as well and the basic logics will remain the same.
We have to work on line together in order to make this work. I will use Team Viewer software and using this software I will control your computer and will write the code for MBed microcontroller. You just need to tell me what features you want in it and also tell me the output coming. In this way you will also learn as everything will be going on infront of you.
Thanks.