A new scintillation-track-image detector, SCITIC, has been developed and successfully used as an active target for hyperonscattering experiments. The principle and practical use in experiments of SCITIC have bean reported. In this paper, we present the results of a reanalysis of SCITIC data by a new method. The new method assures more precise three-dimensional (3D) track reconstruction than before by introducing a way of critically checking and an iterating data processing. After a brief presentation of the experimental setup and procedure of data taking, details of the image analysis are discussed. With the new analysis, the precision of the data for the AE þ p scattering experiment was improved leading to the conclusion that the AE þ p spin-orbit interaction is comparable to the NN interaction, and that the angular dependence of analyzing power is in good agreement with a theoretical prediction.