Reconstruction of smooth distributions within unsmooth circumferences from limited views using filtered‐backprojection algorithm

This study demonstrates the feasibility of reconstruction of smooth distributions within unsmooth circumferences from limited views using the filtered‐backprojection algorithm with angular interpolation in Fourier domain, which leads to noniterative reconstruction of smooth distributions within skulls in diagnostic medicine. Two phantoms with a circular and an elliptic circumference are numerically tested. This speedy approach has great advantages in applications when swift reaction is necessary or when result of reconstruction is indispensably navigational to its following detection.