  We quantize a relativistic massive complex spin-0 field and a relativistic
massive spin-1/2 field on a space-time hyperboloid. We call this procedure
point-form canonical quantization. Lorentz invariance of the hyperboloid
implies that the 4 generators for translations become dynamic and interaction
dependent, whereas the 6 generators for Lorentz transformations remain
kinematic and interaction free. We expand the fields in terms of usual plane
waves and prove the equivalence to equal-time quantization by representing the
Poincare generators in a momentum basis. We formulate a generalized scattering
theory for interacting fields by considering evolution of the system generated
by the interaction dependent four-momentum operator. Finally we expand our
generalized scattering operator in powers of the interaction and show its
equivalence to the Dyson expansion of usual time-ordered perturbation theory.
