Figure 1

Reconstruction flowchart. The flowchart shows three basic steps of the reconstruction procedure from projections data with unknown view angles. Figure (A) is the original brain MR image. Figure (B) shows the projections data generated by projecting the brain image from a set of view angles randomly. All of projection data stack up along the vertical direction. We can see from the figure that the order of the projection data is really shuffled due to the random projection angels. Figure (C) shows the sorted projection data, which is also named sinogram. The comparison between Figure (B) and Figure(C) demonstrates the capability of our method for sorting the projection data. Figure (D) display the reconstructed image from the sorted projection data by using the inverse radon transform. The reconstructed image is subject to a global rotation transform of the original image.