Why filtered back projection

Explore citations on Lens. Spatial frequencies. Image quality. Image filtering. Modulation transfer functions. Optical filters. Spatial resolution. Computed tomography. Fourier transforms. Image transmission. Point spread functions. This is the mathematical equation solved by computer simultaneously; the example earlier was just a four pixel, imagine them on , This model is sound for single objects in an area, however, as we know, the human body has many objects with differing attenuation profiles, 4 points of reference will not suffice.

To overcome this, measurements are recorded at multiple angles around the box sinogram using the method equation as above. Back projection has two distinctive limitations, noise and streak artifacts.

It is due to the combination of these restrictions and the advancement of computers that iterative algorithms are slowly replacing the filtered back projection method of image reconstruction.

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Shi and S. OnLine , vol. Associate Editor: Derek Clements Croome. Hungary Email: irase eng. Sign in Sign up. Advanced Search Help. International Review of Applied Sciences and Engineering. An application of filtered back projection method for computed tomography images. Open access. Download PDF. Check for updates. Abstract Mathematical methods take an important part in reconstruction technologies of radiographic image. Table 1.

By using two dimensional inverse Fourier transform, the object function is defined in Eq. Equation 5 includes a filtering process where w term represents the frequency response of the filter.

Therefore, this process is called as filtered projection. Thus, Eq. By regarding Eq. Spatial impulse response and transfer function of the used filters a Shepp-Logan filter b Hann filter Citation: International Review of Applied Sciences and Engineering 12, 2; Crossref O. Crossref R. Crossref A. Crossref L. Crossref W. Crossref S. Crossref M. Crossref D. Crossref J You , G. Crossref G. Crossref P. Crossref J. Crossref Z. Crossref H. Export References.

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Delete Cancel Save. Cancel Save. View Expanded. View Table. View Full Size. Qi and Chen [ 17 ]. To investigate the reconstruction performance for differential phase-contrast computed tomography. Al Hussani and Al Hayani [ 18 ]. To evaluate the performance of Ram Lak filter and Hann window for the reconstruction of a head phantom. To compare the image quality of reconstructed CT images.

To compare the performances on detecting pulmonary embolism in CT pulmonary angiography. To compare the performance on detecting cancers or tumors. To evaluate the CT image reconstruction.