Implement HDMI, DVI, and DisplayPort input in FPGA

I investigate the feasibility of implement HDMI, DVI, and Displayport in a design. In this design, the FPGA will have the receiver for HDMI, DVI, and DisplayPort, to receive the signal comes from outside source.

Now I am not sure in following questions:

1. In the PCB, there will be ports of HDMI, DVI, and DisplayPort. Is that possible to implement all these without embedded processor (Nios II or ARM) in FPGA just in normal FPGA? If it is possible, what kind of IP core (soft or hard) needed inside FPGA?

2. If we want to implement HDMI, DVI, and DispalyPort with an embedded processor inside FPGA, it can be softcore Nios II or SOC FPGA with ARM, is anyother IP core needed?

Thanks very much.