التفاصيل البيبلوغرافية
| العنوان: |
A spherical x-ray transform and hypercube sections. |
| المؤلفون: |
Kazantsev, Ivan G., Schmidt, Søren |
| المصدر: |
Journal of Inverse & Ill-Posed Problems; 2014, Vol. 22 Issue 4, p537-550, 14p |
| مصطلحات موضوعية: |
MATHEMATICAL transformations, HYPERCUBES, PROBLEM solving, DISTRIBUTION (Probability theory), POLYGONS |
| مستخلص: |
We investigate the problem of sampling a unit great circle on the unit sphere 핊3 as a support of orientation distribution functions on which acts the discrete spherical x-ray transform. The circle's partition subsets are gnomonically mapped onto lines that constitute a convex polygon inside the bounding cubes of hypercube. Thus the problem of the great circle tracing is reduced to the problem of the four-dimensional cube sectioning by the plane containing the circle and the intersection figure (the polygon) vertices finding. In this paper, a fast, non-combinatorial approach for the polygon tracing within the general multi-dimensional frame is proposed. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |