Carrara uses photon mapping for GI. I.e. Bidirectional Reflectance Distribution Function.
Vue uses global ambience, photon mapping, and 'global' radiosity.
Vue's 'Global' radiosity is really final gathering; I.e. diffuse and specular reflectance.
Radiosity is one directional, and cannot therefore account for 'positional' phenomenon, such as specular reflectance. Vue's 'Global Radiosity' isn't CG radiosity at all, it is much more advanced than that.

There is a lot of confusion about the term 'radiosity'. Radiosity is the first attempt at CG GI (circa 1987, Cornell University). In optics, radiosity is the sum of surface reflection of illumination (reflectivity) and thermal radiance (diffuse inter-reflection, 'color bleed'). 'Global Illumination' became confused with the optical term 'Diffuse Inter-reflection' and 'Radiosity' became confused with 'Global Illumination' in computer graphics terminology.
They are actually three different ideas, that somehow became lumped together as 'GI'. Radiosity is but one form of GI, and diffuse inter-reflection is just one component of light 'bouncing' behavior (the average 'bounce factor' of a 100% lambertian surface). That is (one of) the major flaws of radiosity; the algorithm assumes that all surfaces are purely lambertian; and they are not.

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