Filtered back projection method for inversion of incomplete tomographic data

Nonlinear Back Projection for Tomographic Image Reconstruction

The objective of this paper is to investigate a new non-iterative paradigm for image reconstruction based on the use of nonlinear back projection filters. This method, which we call nonlinear back projection (NBP), attempts to directly model the optimal inverse operator through off-line training. Potential advantages of the NBP method include the ability to better account for effects of limited...

The Semidiscrete Filtered Backprojection Algorithm Is Optimal for Tomographic Inversion

Bandlimited and Haar filtered back-projection reconstructions

A new way to discretize the filtered back-projection (FBP) algorithm is presented. The function basis is the Haar system (2D product of rectangular windows). This scheme allows one to derive the optimal shape of the apodisation window, which is angle varying, and the oversampling ratio between the pixel and the projection cell size. The discrete equivalent filter is also derived. The comparison...

A method for 2-dimensional inversion of gravity data

Applying 2D algorithms for inverting the potential field data is more useful and efficient than their 3D counterparts, whenever the geologic situation permits. This is because the computation time is less and modeling the subsurface is easier. In this paper we present a 2D inversion algorithm for interpreting gravity data by employing a set of constraints including minimum distance, smoothness,...

Generalized Filtered Back-projection for Digital Breast Tomosynthesis Reconstruction

Filtered back-projection (FBP) has been commonly used as an efficient and robust reconstruction technique in tomographic X-ray imaging during the last decades. For limited angle tomography acquisitions such as digital breast tomosynthesis, however, standard FBP reconstruction algorithms provide poor results and give rise to image artifacts due to the limited angular range and the coarse angular...