To study the 3-D trajectory and spatial radiation characteristics of collisional moving electrons of closely focused circularly polarized Gaussian pulses with different collision centers, a numerical simulation within the framework of laser-electron interaction and nonlinear Thomson scattering was performed. The results show that, the amplitude of the motion trajectory reaches to the peak value of 0.151752λ0(λ0=1μm) at the position of λ0, whereas the valley value is 0.151662λ0 at the position of -λ0, presenting a asymmetry. Through visual display and numerical results, the law of the maximum radiation angle and radiation intensity of electron radiation changing with the collision center was described. Finally, the variation of radiation pulses was studied. The pulse with a primary peak and a sub peak over time was discovered. This research provides a rationale for the building of new generations of X-ray detectors.