Back-projection inversion of a conical Radon transform
نویسندگان
چکیده
منابع مشابه
Analytic Inversion of a Conical Radon Transform Arising in Application of Compton Cameras on the Cylinder
Single photon emission computed tomography (SPECT) is a well established clinical tool for functional imaging. A limitation of current SPECT systems is the use of mechanical collimation, where only a small fraction of the emitted photons is actually used for image reconstruction. This results in large noise level and finally in a limited spatial resolution. In order to decrease the noise level ...
متن کاملRadon Transform Inversion using the Shearlet Representation
The inversion of the Radon transform is a classical ill-posed inverse problem where some method of regularization must be applied in order to accurately recover the objects of interest from the observable data. A well-known consequence of the traditional regularization methods is that some important features to be recovered are lost, as evident in imaging applications where the regularized reco...
متن کاملFast Inversion of the Radon Transform Using Log-polar Coordinates and Partial Back-Projections
In this paper a novel filtered back-projection algorithm for inversion of a discretized Radon transform is presented. It makes use of invariance properties possessed by both the Radon transform its dual. By switching to log-polar coordinates, both operators can be expressed in a displacement invariant manner. Explicit expressions for the corresponding transfer functions are calculated. Furtherm...
متن کاملA Fast and Accurate Multilevel Inversion of the Radon Transform
A number of imaging technologies reconstruct an image function from its Radon projection using the convolution backprojection method. The convolution is an O(N2 logN) algorithm, where the image consists of N×N pixels, while the backprojection is an O(N3) algorithm, thus constituting the major computational burden of the convolution backprojection method. An O(N2 logN) multilevel backprojection ...
متن کاملInversion of noisy Radon transform by SVD based needlets
Article history: Received 29 July 2008 Revised 29 May 2009 Accepted 3 June 2009 Available online 12 June 2009 Communicated by W.R. Madych A linear method for inverting noisy observations of the Radon transform is developed based on decomposition systems (needlets) with rapidly decaying elements induced by the Radon transform SVD basis. Upper bounds of the risk of the estimator are established i...
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 in Science and Engineering
سال: 2015
ISSN: 1741-5977,1741-5985
DOI: 10.1080/17415977.2015.1034121