An apparatus is described for measuring surface topography of a three-dimensional structure. In many embodiments, the apparatus is configured to focus each of a plurality of light beams to a respective fixed focal position relative to the apparatus. The apparatus measures a characteristic of each of a plurality of returned light beams that are generated by illuminating the three-dimensional structure with the light beams. The characteristic is measured for a plurality of different positions and/or orientations between the apparatus and the three-dimensional structure. Surface topography of the three-dimensional structure is determined based at least in part on the measured characteristic of the returned light beams for the plurality of different positions and/or orientations between the apparatus and the three-dimensional structure.