The method estimates position by fitting the point-spread function produced by each fluorescent emitter. This analysis separates lateral coordinates from axial position, while depth-dependent optical signals provide the information needed to resolve location along the imaging axis. Repeating these estimates over successive observations allows researchers to follow positional changes rather than treating the emitter as stationary.
Individual photon measurements preserve information about each fluorescent molecule or particle before signals from different emitters are combined into a broader image. The recorded photons support point-spread-function fitting, which converts emission patterns into coordinate estimates. This photon-level approach is important when researchers need nanoscale spatial information and time-resolved measurements of moving biological or engineered components.
Signals that vary with depth provide an optical basis for estimating axial position, which conventional two-dimensional imaging cannot resolve directly. When those depth-dependent features are analyzed together with the fitted point-spread function, the technique can distinguish changes in three-dimensional location. That distinction enables trajectories to represent motion through depth as well as movement across the imaging plane.
A typical workflow records emitted photons from fluorescent molecules or particles as they move, fits the point-spread function associated with each emitter, and estimates lateral and axial coordinates for successive observations. The coordinate measurements are then ordered over time to construct trajectories. These trajectories provide a quantitative record linking an emitter’s position with its changing motion.
Time-resolved trajectories can characterize molecular transport, membrane dynamics, and intracellular organization by showing how position changes over time. Rather than providing only a spatial snapshot, the measurements connect location with motion, helping researchers quantify dynamic cellular behavior. This information can support studies of cellular function and biomolecular interactions in bioengineering research.
In bioengineering, three-dimensional localization and motion measurements can help characterize engineered biomaterials and evaluate advanced diagnostic or therapeutic systems. Tracking fluorescent molecules or particles provides information about where components are located and how they move, allowing researchers to examine system behavior quantitatively. The same measurements can also connect molecular-scale dynamics with the performance of engineered designs.