FBP algorithms for attenuated fan-beam projections
نویسندگان
چکیده
منابع مشابه
Analytical Inversion Formula for Uniformly Attenuated Fan-Beam Projections
A convolution backprojection algorithm was derived by Tretiak and Metz to reconstruct two-dimensional (2-D) transaxial slices from uniformly attenuated parallel-beam projections. Using transformation of coordinates, this algorithm can be modified to obtain a formulation useful to reconstruct uniformly attenuated fan-beam projections. Unlike that for parallel-beam projections, this formulation d...
متن کاملAn alternative proof of Bukhgeim and Kazantsev's inversion formula for attenuated fan-beam projections.
An inversion formula was developed by Bukhgeim and Kazantsev for attenuated fan-beam projections [Russian Academy of Science Siberian Branch: The Sobolev Institute of Mathematics (2002)]. The inversion formula was obtained by relating the attenuated fan-beam projections to unattenuated fan-beam projections and by trickily processing the unattenuated fan-beam projections. We show in this paper t...
متن کاملImage reconstruction from fan-beam and cone-beam projections
This thesis addresses the problem of reconstructing static objects in 2D and 3D transmission computed tomography (CT). After reviewing the classical CT reconstruction theory, we discuss and thoroughly evaluate various novel reconstruction methods, two of which are original. Our first original approach is for 2D CT reconstruction from full-scan fan-beam data, i.e., for 2D imaging in the geometry...
متن کاملParameter Settings for Reconstructing Binary Matrices from Fan-Beam Projections
Discrete tomography DT is used for reconstructing special objects consisting of a few types of known homogeneous materials. For example, if we know that the object is made of wood, then the space contains only two materials: wood and air. Such objects can be represented with two-valued functions. The knowledge of the discrete range of the function to be reconstructed can also reduce the number ...
متن کاملReconstruction of binary matrices from fan-beam projections
The problem of the reconstruction of binary matrices from their fan-beam projections is investigated here. A fan-beam projection model is implemented and afterwards employed in systematic experiments to determine the optimal parameter values for a data acquisition and reconstruction algorithm. The fan-beam model, the reconstruction algorithm which uses the optimization method of Simulated Annea...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Inverse Problems
سال: 2005
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/21/5/c01