Geodesic
Tomographic reconstruction of a region with a given density value
Numerical methods and programming, Tome 19 (2018) no. 4, pp. 516-521

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A new tomographic method is proposed to find the object's region filled with a homogeneous substance whose density is given. Its essence is that a pixel of the tomogram is assumed to belong to the image of the region if its brightness lies in a certain interval whose boundaries are determined from the minimum condition for the weighted sum of the error probabilities of the first and second kinds. In order to determine these probabilities, some statistical hypotheses on the distribution of pixel brightness in the reconstructed image are formulated. The adopted hypotheses are confirmed by numerical results.
Keywords: two-dimensional tomography, distribution of pixel brightness.
Mots-clés : image histogram 
@article{VMP_2018_19_4_a17,
     author = {A. V. Likhachev},
     title = {Tomographic reconstruction of a region with a given density value},
     journal = {Numerical methods and programming},
     pages = {516--521},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2018_19_4_a17/}
}
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A. V. Likhachev. Tomographic reconstruction of a region with a given density value. Numerical methods and programming, Tome 19 (2018) no. 4, pp. 516-521. http://geodesic.mathdoc.fr/item/VMP_2018_19_4_a17/