Journal of South China University of Technology (Natural Science Edition) ›› 2013, Vol. 41 ›› Issue (7): 114-119.doi: 10.3969/j.issn.1000-565X.2013.07.019

• Computer Science & Technology • Previous Articles     Next Articles

Finding All Solutions of Three- Material Image Reconstruction Problem

Chuanlin Liu Jeanpierre Guédon   

  1. LUNAM Université,Université de Nantes,IRCCyN UMR CNRS 6597 (Institut de Recherche en Communications et Cybernétique de Nantes),Polytech Nantes,rue Christian Pauc BP 50609 44306,Nantes,France
  • Received:2013-03-01 Online:2013-07-25 Published:2013-06-01
  • Contact: Chuanlin Liu(born in 1983),male,Ph.D.,mainly researches on Mojette transform,discrete tomography,and medi-cal image. E-mail:liu.zhuanlin@gmail.com
  • About author:Chuanlin Liu(born in 1983),male,Ph.D.,mainly researches on Mojette transform,discrete tomography,and medi-cal image.

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Abstract:

Having very few projections of an image does not guarantee the reconstruction even in the case that the original image is only composed of 3 materials.Although previously developed line Mojette algorithm gives a solution in this case,an unicity is required.In order to solve this problem, based on the line Mojette transfrom,the tree decomposition is used to provide the complete set of solutions from a new algorithm denoted as“Tree Line Mojette”in the case that the original image contains only 3 materials (3 discrete values).

Key words: three- material image reconstruction, Mojette transform, line Mojette transform, tree decomposition