  We consider the multi-point equal time height fluctuations of a
one-dimensional polynuclear growth model in a half space. For special values of
the nucleation rate at the origin, the multi-layer version of the model is
reduced to a determinantal process, for which the asymptotics can be analyzed.
In the scaling limit, the fluctuations near the origin are shown to be
equivalent to those of the largest eigenvalue of the orthogonal/symplectic to
unitary transition ensemble at soft edge in random matrix theory.
