A novel approach aiming at automatic localization of gold Fiducial Markers (
Patient Data Collection
MR and CT (Figure 2) images of seventeen prostate cancer patients (61.5-82 yrs) who underwent standard RTP were collected. As part of routine clinical practice, three cylindrical gold FMs (length=5 mm, $$$\varnothing$$$=1 mm, HA2 Medizintechnik GmbH, Germany) were transperineally implanted one week prior to image acquisition. CT scanning (Brilliance CT, Philips, The Netherlands) was performed with a resolution of 1.1x1.1x3 mm3, followed by MRI within 1-2 hours (3T Ingenia, Philips, The Netherlands). Scan protocol included: 1) 3D balanced SSFP (bSSFP) sequence clinically used in RT planning to perform manual FM localization; 2) 3D RF spoiled GRE (SPGR) sequence for automatic FM localization.
CT-based FM localization was performed clinically in a semi-automatic fashion providing the Center of Gravity (CoG) and orientation for the FMs. To register MR to CT, MR-based manual FM localization (CoG only) was clinically conducted using the bSSFP data.
MR-based automatic Fiducial Marker localization
A 3D analytical model of the gold FM (χgold=-34 ppm) in a uniform background (χbck=-9 ppm) was used to simulate the field perturbation induced by a FM5. The complex signal behaviour in the proximity of a FM in the SPGR sequence was simulated at high resolution (0.07x0.07x0.08 mm3) and in a small FOV (23.6x23.7x25.2 mm3) using the FORECAST framework6 (Figure 3.1). A library of 321 templates with different FM orientations was generated. Finally, to locate FMs, a Phase Correlation (PC) matching7 between in-vivo and simulated template data was performed4, using a novel candidate selection criterion: FMs were selected only if the local Smoothness of the image phase $$$(S(\phi_I(x))=\sum_{I}\mid\frac{\partial e^{i\phi_I(x)}}{\partial x}\mid)$$$ along the readout direction $$$(x)$$$ was increased by template phase $$$(\phi_T(x))$$$ correction (Figure 3). For quality assurance purposes the algorithm was allowed to search for 4 FMs, even if only 3 FMs were implanted. The total time to simulate a library of templates was below 7 s, and the maximum time needed to localize FM on a single dataset was 20 s in Matlab (The MathWorks, USA) using a 16 GB RAM commercial CPU @3.4GHz.
Evaluation
Manually and automatically detected FMs were labelled and coupled according to their CoG location in the craniocaudal direction (Figure 4a). Automatically detected FMs were regarded as correctly detected when the distance between coupled FMs was below 1.5 mm. To characterize the geometrical accuracy and precision of the MR-based localization, the Relative Distance (RD, see Figure 4a) of correctly detected corresponding FMs with the MR-based method (RD$$$_{MR}$$$) was compared to the RD on the gold standard CT (RD$$$_{CT}$$$).
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