I think that the simplest description of resurrection is bringing back a person to life. A physical resurrection would be bringing a dead person back to life, whether in their existing body or a new one. A spiritual resurrection would be one where the dead is brought back as a spirit/ghost or into a different realm than the physical (heaven/hell/etc).
Further than that, it depends on how you view the person, whether as a self-contained physical being or as a soul inhabiting a physical body. In the latter case, it may be more akin to transplanting a soul into a body (physical resurrection) or not doing anything at all (assuming an immortal soul, which would not die and not need to be revived).