## Abstract

Suppose that V is a family of regular regions in R^{d} (d ≥ 2) with a common constructive profile (CP), i.e. the projection along the x^{d}-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 x_{1}-axis of the element in V. This proves that, under certain restrictions, a regular region in R^{d} 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.

Original language | English |
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Pages (from-to) | 267-275 |

Number of pages | 9 |

Journal | Mathematical and Computer Modelling |

Volume | 12 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1989 |

## All Science Journal Classification (ASJC) codes

- Modelling and Simulation
- Computer Science Applications