The effects of lateral confinement and strong magnetic fields on the e
nergy levels and optical spectra of magnetoexcitons in a disk-like par
abolic quantum dot are considered, For a QD which in the absence of a
magnetic field B is in the strong confinement regime, a crossover to t
he weak confinement regime can be realized when B is increased. Energy
spectra and dipole matrix elements of optical transitions in differen
t confinement regimes are found.