Abstract
Bai et al. recently proposed to acquire random fan‐beam/cone‐beam projections with a linear/planar detector from a circular scanning locus for controlled cardiac computed tomography (CT). After specifying a uniform acquisition geometry required by FBP (filtration‐backprojection), we rebin the random fan‐beam/cone‐beam data via nearest‐neighbor, quadrilateral and triangle‐based linear interpolation methods. The fan‐beam and parallel‐beam FBP algorithms are employed for rebinned fan‐beam projections. The FDK (Feldkamp–Davis–Kress) and t‐FDK (tent‐FDK) methods are employed for rebinned cone‐beam data. Also, nonuniform weighting fan‐beam/FDK methods are used to reconstruct without rebinning. As a benchmark, the images are reconstructed using uniform weighting fan‐beam/FDK method from data collected at the specified uniform grid. To evaluate the different methods, effects of increasing the number of projections and adding Poisson noise are studied. The root mean square error (RMSE) is used to quantify the image quality by numerical tests with the cardiac phantom. Our results show that it is helpful to perform data interpolation for improvements of the image quality in controlled cardiac CT from random projections. Our simulations indicate that triangular interpolation gives the most satisfactory result for improved image quality whereas quadrilateral interpolationgives the best noise performance. © 2007 Wiley Periodicals, Inc. Int J Imaging Syst Technol, 17, 91–98, 2007