A Phase Field Approach to Limited-angle Tomographic Reconstruction
نویسندگان
چکیده
منابع مشابه
A Phase Field Method for Tomographic Reconstruction from Limited Data
Russell J. Hewett [email protected] Imaging and Computing Group Department of Mathematics Massachusetts Institute of Technology Ian Jermyn [email protected] Department of Mathematical Sciences Durham University Michael T. Heath [email protected] Department of Computer Science University of Illinois at Urbana-Champaign Farzad Kamalabadi [email protected] Department of Electrical and Comp...
متن کاملBayesian approach to limited-angle reconstruction in computed tomography
An arbitrary source function cannot be determined fully from projection data that are limited in number and range of viewing angle. There exists a null subspace in the Hilbert space of possible source functions about which the available projection measurements provide no information. The null-space components of deterministic solutions are usually zero, giving rise to unavoidable artifacts. It ...
متن کاملTomographic reconstruction from limited data
Introduction At present, image reconstruction in micro-CT imaging is typically performed using the FDK algorithm. This algorithm, which is similar to the Filtered Backprojection algorithm for singleslice tomography, is capable of computing accurate reconstructions in a relatively short time, provided that the acquired dataset satisfies certain requirements: (i) a large number of projection imag...
متن کاملVariational Approach to Tomographic Reconstruction
We formulate the tomographic reconstruction problem in a variational setting. The object to be reconstructed is considered as a continuous density function, unlike in the pixel-based approaches. The measurements are modeled as linear operators (Radon transform), integrating the density function along the ray path. The criterion that we minimize consists of a data term and a regularization term....
متن کاملTomographic Reconstruction of Band-limited Hermite Expansions.
In this work, we investigate the parallel-beam projection and reconstruction of band-limited Hermite expansions. Using a recently developed coordinate conversion technique, we show how the Fourier slice theorem can be directly applied. In our new approach, we do not introduce a non-integrable filter that appears in the filtered backprojection method. Since a projection of a 2D band-limited Herm...
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: Fundamenta Informaticae
سال: 2020
ISSN: 0169-2968,1875-8681
DOI: 10.3233/fi-2020-1901