201. 4 materials scene reconstructions from line Mojette projections
- Author
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Yi Zhang, Asif Khan, Yu Bao, Chuanlin Liu, Mei Xue, and Amit Yadav
- Subjects
Pixel ,Computer science ,Binary image ,0102 computer and information sciences ,02 engineering and technology ,01 natural sciences ,Bin ,Mojette Transform ,010201 computation theory & mathematics ,Projection line ,0202 electrical engineering, electronic engineering, information engineering ,General Earth and Planetary Sciences ,020201 artificial intelligence & image processing ,Algorithm ,General Environmental Science - Abstract
The binary image reconstruction has been adressed for many years by discrete tomography.The Dirac Mojette transform allows for a more general framework with any kind of values and any number of projections. This paper mainly adress the 4 materials scene reconstrction by the line Mojette algorithm.The line Mojette uses the characteristics that the scene under reconstruction is composed of 4 material values. Since a projection line might contain a unique material value, then the pixels of this line can be back-projected directly with the unique material value. The inverse line Mojette can always solve more than one pixel at a time contrarily to the Dirac Mojette inversion. The constraint solver as the second part of the algorithm can make the reconstruction continue while there is no correspondence bin can be used. Under the Farey-Haros series and the Stern-Brocot tree projection sets, the experimental results demonstrated that line Mojette algorithm can complete the 4 materials scene reconstruction with the limited projection sets, which the Katz’s criterion is far to be checked.
- Published
- 2018
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