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.
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Computer Science Applications