[EN] Positron Emission Tomography (PET) is a medical imaging technique, in which an image is generated from the detection of gamma rays in coincidence. These rays are produced within a patient, who is injected with a positron emmiter radiotracer, from which positrons are annihilated with electrons in the media. The event acquisition process is focused on the scanner detector. The detector is in turn composed of a scintillation crystal, which transform the incident ray gamma into optical photons within the crystal. The purpose is then to determine the impact coordinates within the scintillation crystal with the greatest possible precision, so that, from these points, an image can be reconstructed. Throughout history, detectors based on pixelated crystals have represented the quintessential choice for PET scanners manufacture. This thesis evaluates the impact on the spatial resolution of the MINDView PET scanner, developed in the seventh Framework program of the European Union No. 603002, which detectors are based on monolithic crystals. The use of monolithic crystals facilitates the determination of the depth of interaction (DOI - Depth Of Interaction) of the incident gamma rays, increases the precision in the determined impact coordinates, and reduces the parallax error induces in pixelated crystals, due to the difficulties in determining DOI. In this thesis, we have achieved two main goals related to the measurement of the spatial resolution of the MINDView PET scanner: the adaptation of an STIR algorithm for Filtered BackProjection 3D Reproyected (FBP3DRP) to a scanner based on monolithic crystals, and the implementation of a BackProjection then Filtered algorithm (BPF). Regarding the FBP algorithm adaptation, we achieved resolutions ranging in the intervals [2 mm, 3.4 mm], [2.3 mm, 3.3 mm] and [2.2 mm, 2.3 mm] for the radial, tangential and axial directions, respectively. On the an acquisition of a derenzo phantom was performed to measure the spacial resolution, which was obtained using three reconstruction algorithms: the BPF-type algorithm, the FBP3DRP algorithm and an implementation of the list-mode ordered subsets algorithm (LMOS). Regarding the BPF-type algorithm, a peak-to-valley value of 2.4 were obtain along rod of 1.6 mm, in contrast to the measurements of 1.34 and 1.44 obtained for the FBP3DRP and LMOS algorithms, respectively. This means that, by means of the BPF-type algorithm, it is possible to improve the resolution to obtain an average value of 1.6 mm. TESIS