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 -