Tomographic Reconstruction of Images from Noisy Projections - A Preliminary Study

Although Computed Tomography (CT) is amature discipline, the development of techniques that will further reduce radiation dose are still essential. This paper makes steps towards projection and reconstruction methods which aim to assist in the reduction of this dosage, by studying the way noise propagates from projection space to image space. Inference methods Maximum Likelihood Estimation (MLE), Akaike's Information Criterion (AIC) and MinimumMessage Length (MML) are used to obtain accurate models obtained from minimal data.

[1]  J. Rissanen,et al.  Modeling By Shortest Data Description* , 1978, Autom..

[2]  Dominique Barba,et al.  Controlled redundancy for image coding and high-speed transmission , 1996, Other Conferences.

[3]  H. Akaike.  Statistical predictor identification , 1970 .

[4]  Mark A. Pitt,et al.  Advances in Minimum Description Length: Theory and Applications , 2005 .

[5]  David L. Dowe,et al.  Minimum Message Length and Kolmogorov Complexity , 1999, Comput. J..

[6]  Peter Grünwald,et al.  Invited review of the book Statistical and Inductive Inference by Minimum Message Length , 2006 .

[7]  David L. Dowe,et al.  Bayes not Bust! Why Simplicity is no Problem for Bayesians1 , 2007, The British Journal for the Philosophy of Science.

[8]  A. Kingston,et al.  Projective Transforms on Periodic Discrete Image Arrays , 2006 .

[9]  C. S. Wallace,et al.  Statistical and Inductive Inference by Minimum Message Length (Information Science and Statistics) , 2005 .

[10]  Jan Flusser,et al.  Image Representation Via a Finite Radon Transform , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  C. S. Wallace,et al.  Estimation and Inference by Compact Coding , 1987 .

[12]  Nicolas Normand,et al.  A Geometry Driven Reconstruction Algorithm for the Mojette Transform , 2006, DGCI.

[13]  Imants Svalbe,et al.  Reconstruction of tomographic images using analog projections and the digital Radon transform , 2001 .

[14]  C. S. Wallace,et al.  Intrinsic Classification of Spatially Correlated Data , 1998, Comput. J..

[15]  David L. Dowe,et al.  Minimum message length and generalized Bayesian nets with asymmetric languages , 2005 .

[16]  C. S. Wallace,et al.  An Information Measure for Classification , 1968, Comput. J..

[17]  David L. Dowe,et al.  Minimum Message Length Clustering of Spatially-Correlated Data with Varying Inter-Class Penalties , 2007, 6th IEEE/ACIS International Conference on Computer and Information Science (ICIS 2007).