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Datasets were reconstructed using cone-beam reconstruction software (Skyscan NRecom) based on the Feldkamp algorithm [ 24] and segmented into binary images using adaptive local thresholding.

Tomographic datasets were reconstructed using 3D ordered subset expectation maximization (OSEM) iterative reconstruction algorithm with 3D Gaussian filtering for noise reduction.

Additionally, 177Lu datasets were reconstructed using the Siemens software available on the camera (Flash3D) [20].

Datasets were reconstructed using ordered-subsets expectation maximization (OSEM) 1 7 iterations in order to identify the optimal OSEM reconstruction (5 iterations, 15 subsets).

All PET/CT datasets were reconstructed using the Monte Carlo-based full-3D iterative algorithm Tera-Tomo (Mediso Medical Imaging Systems, Budapest, Hungary) [19].

PET datasets were reconstructed using time-of-flight ordered subset expectation maximisation (OSEM) protocol (GE's VPFX) in 3D mode with two iterations, 24 subsets and 6.4 mm Gaussian filter (~ 7 mm PET spatial resolution [16]) in accordance with the standard clinical protocol at our centre [32].

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Similarly to the last dataset, the dataset was reconstructed using.

These dataset are reconstructed using 16.49% (12 radial lines) acquired samples in k-space using Optshrink LR + S with rank one.

As with the phantom datasets, each patient dataset was reconstructed using four different methods: the default OSEM protocol and the optimised OSEM protocol, both with and without full MC collimator modelling.

The total time for the MRI examination including patients walking and resting after contrast agent injection was between 80 and 85 min. The 3D T1 dataset was reconstructed using a Leonardo workstation (Siemens, Erlangen, Germany).

The images from the experimentally acquired tomographic projection datasets, as well as these from simulations, were reconstructed using in-house developed software packages (MIRG software [29] for 177Lu and 188Re, UM software [30] for 131I).

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