An optically reflective or translucent object (14) can be microscopically imaged in all three dimensions and in true color for observation by a human observer. An interferometric optical setup is employed, using the low temporal coherence of a tunable broad-band light source (10, 20) to resolve the axial dimension, a single opto-mechanical or electronic scanning mechanism for accessing different object depths, and a two-dimensional photo sensor device (15, 34) capable of demodulating the temporally or spatially modulated scanning signals to reconstruct the object's full volume. Three volume scans are carried out sequentially, and the tunable broad-band source (10, 20) is operated in such a way that its spectral distribution for each of the volume scans results in an effective system sensitivity corresponding to one of the three CIE (Commission Internationale d'Eclairage) tristimulus curves, or a linear combination thereof. The linear combination of the three volume images forms the full, true-color volume image for human observers. By using reference objects (43) in the imaged volume, the three-dimensional images can be corrected for spatially- and wavelength-dependent dispersion and absorption.