TY - JOUR
T1 - Reconstruction of the shape and size of objects from two orthogonal projections
AU - Bai, Z. D.
AU - Krishnaiah, P. R.
AU - Rao, C. R.
AU - Sun, Y. N.
AU - Zhao, L. C.
PY - 1989
Y1 - 1989
N2 - Suppose that V is a family of regular regions in Rd (d ≥ 2) with a common constructive profile (CP), i.e. the projection along the xd-axis. In this paper, the authors establish, under certain restrictions on the equal divisor, the one-to-one correspondence between V and the family Q of the induced testing profiles (TP), i.e. the projections along the x1-axis of the element in V. This proves that, under certain restrictions, a regular region in Rd is a continuous function of its profiles (CP and TP), which theoretically guarantees the justification of the reconstruction of the left ventricle given in a previous paper.
AB - Suppose that V is a family of regular regions in Rd (d ≥ 2) with a common constructive profile (CP), i.e. the projection along the xd-axis. In this paper, the authors establish, under certain restrictions on the equal divisor, the one-to-one correspondence between V and the family Q of the induced testing profiles (TP), i.e. the projections along the x1-axis of the element in V. This proves that, under certain restrictions, a regular region in Rd is a continuous function of its profiles (CP and TP), which theoretically guarantees the justification of the reconstruction of the left ventricle given in a previous paper.
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U2 - 10.1016/0895-7177(89)90104-0
DO - 10.1016/0895-7177(89)90104-0
M3 - Article
AN - SCOPUS:0024900659
VL - 12
SP - 267
EP - 275
JO - Mathematical and Computer Modelling
JF - Mathematical and Computer Modelling
SN - 0895-7177
IS - 3
ER -