From my limited knowledge, itwould be very hard to make it react to all types of radiation (alpha, beta, gamma) since they penetrate differently and interact with forces differently. You could potentially make a magnetic "lens" that would interact with alpha and beta particles, but gamma rays would ignore it.

The best way I can think of to make a "radiation camera" is similar to how you can make a "wifi camera", by hooking up a radiation detector to a pan-tilt mechanism, and moving it around very slowly and sampling the amount of radiation detected at each point. Essentially a single pixel "camera" that you have to move around to take a full picture. However, you'd also have to shield the detector from any radioactivity coming from directions that it's not pointed in, which is especially hard if you're trying to capture gamma rays, since they like to penetrate through everything. Its like if light could leak into the side of a normal camera, you'd get rubbish photos