Respiratory Motion Correction in PET with gated PET/CT data Juan Eugenio Iglesias The introduction of the combined PET/CT has been one of the major achievements in the last decade in cancer diagnose. The hybrid PET/CT, being two separate detectors connected in conjunction and sharing the same bed, can hence acquire CT images pre- or post acquisition of the PET data, but suffers from the fact that the acquisitions are not done fully simultaneously. Furthermore, while the acquisition of CT is done in a fraction of second, the PET acquisition is done over a period of approximately 20 minutes, during which the patient breathes, resulting in a certain diaphragmatic motion and hence image blurring. If the obtained images are then fused, they are not fully co-registered. Moreover, the blurred PET suffers from an increased lesion volume and a lower maximum SUV. The present master's thesis evaluates a novel method for correcting this unwanted blurring by means of a software correction. CT images are acquired for several respiratory phases and co-registered using the deformable "demons" algorithm. The PET data is also gated, and the contribution from every phase to the image is modified with transforms calculated from the CT images so that they are all referred to the same phase (an "optimal" one, in which with most injury to the tumor and least to the healthy tissue might be achieved when applying radiotherapy).