An apparatus includes a position-sensitive detector to detect intensities
of radiation as a function of position on the detector, and an optical
system, characterized by a diffraction-limited resolution volume, adapted
for imaging light emitted from activated and excited phototransformable
optical labels ("PTOLs") in a sample onto the position
sensitive-detector. A first light source provides activation radiation to
the sample to activate a subset of the PTOLs that are distributed in the
sample with a density greater than an inverse of the diffraction-limited
resolution volume of the optical system. A second light source provides
excitation radiation to the sample to excite a portion of the PTOLs in
the subset of the PTOLs. A controller controls one both of the activation
radiation and the excitation radiation provided to the sample such that a
density of PTOLs in the portion of the PTOLs is less than the inverse of
the diffraction-limited resolution volume.