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System matrix and x-space resonstruction are two of the main approaches for image reconstruction of field free line magnetic particle imaging. A comparative studiy of both options is performed on data from a phantommeasurement in a permanent magnet-based scanner system. The system matrix reconstruction is performed in a hybrid fashion with data obtained in a spectrometer. This data is also used to obtain the relaxation time and particle diameter of the particles used. A deconvolution can then be used to enhance the image quality of the x-space approach which is compared to the system matrix reconstruction. A slight blurring can be depicted in the x-space reconstruction but overall a good agreement between both approaches is reached with the Structural Similarity Index yielding a value of 0.79.