Basic aspects of BS EN 60601-1:2006 and BS EN 60601-1-1:2001 are a start. The PC will have to be compliant with its own safety standard, e.g. BS EN 60950-1:2006, and be CE marked if it's connected as part of a medical system via a functional connection, e.g. a composite video cable, and/or a shared mains supply, e.g. MPSO connected to the secondary winding of a separating transformer.
I'm not going to assume you are using a video stack that's compliant with 60601-1 or 60601-1-1, i.e. in terms of safety requirements. Depending upon whether the PC is used on the video stack in the patient environment, in the same room or another room depends upon what's required to connect it to the video-endoscopy system. If you have more details about it then I'm willing to help with more practical advice off forum if you like.
I'm not assuming anything, that's why I asked about the system connections, etc. The standards don't really tell you much unless you have some idea what you're trying to achieve in terms of electrical safety. YOU become the manufacturer of a medical system when you connect devices together - there are higher risks involved when connecting medical and non-medical devices together or you take advice that's flawed.
Alternatively there are always experts at the MHRA that you can speak to if you wish to find out what the safety requirements or implications of adding non-medical devices to medical systems are.
Richard