Information about the positioning of foreign objects inside the human body is essential for its efficient surgical removal. However, the methods conventionally used do not provide sufficient information on the location of the metallic object to guarantee surgical success. In the present work, an automated system was developed to map the static magnetic flux density produced by ferromagnetic bodies positioned in varying degrees of 3D freedom, using a low-cost sensor based on the giant magnetoimpedance phenomenon (GMI - Giant Magnetoimpedance), which detects only time-varying magnetic fields. Thus, automated measurements were performed with the sample moving at a constant speed. Through computational modeling of the generated magnetic field, it was possible to reproduce the behavior of the magnetic flux density generated by a magnetic field source, such as the straight needle used in in vitro measurements. The software considered the GMI sensor s characteristics and the measurement condition with the magnetic source in motion. The simulation results were validated through comparisons with the experimental results, enabling the solution of the direct problem with the characterization of the spatial configuration of the magnetic flux density for various magnetic source positions in relation to the GMI magnetic sensor. With the validation of the simulated results, they can be used in the development of a procedure to solve the inverse problem of clinical imaging using the low-cost GMI sensor, limited to time-varying magnetic measurements, performed for the detection and positioning of foreign bodies that generate static magnetic fields.