We proposed a simplified image reconstruction method in 4\pi Compton imaging to determine the intensity and location of point-like gamma-ray sources. The proposed method can be quickly done by fixing an apex of each Compton cone to a center of a Compton imaging detector and using a lookup table of cone projection profiles for all possible combinations. Using a prototype CdTe array detector with the proposed reconstruction method, 4\pi Compton images for a 137Cs gamma-ray point source far from the detector were obtained. Also, the identification of a 137Cs point source in a plastic box was successfully demonstrated.