An algorithm has been developed to determine deformations of a cantilever honeycomb plate under arbitrary loading conditions. The algorithm utilizes strain information from a set of sixteen fiber Bragg grating sensors, mounted on the plate so that all sensors measure strains along the clamped-free direction. The sensors are interrogated using a wavelength-division multiplexing scheme. A two-dimensional bi-polynomial function which represents the strain field is created using a least-squares algorithm. This function is integrated twice with the known boundary conditions applied to yield the deformation field for the plate. Maximum differences between finite-element solutions and least-squares estimates did not exceed 29.0 percent for any of the 16 investigated load scenarios. However, when considering areas of maximum deflection, the least-squares estimates did not exceed 13.3 percent difference. The algorithms used to interrogate the sensors, perform the strain-displacement calculations, and generate a real-time (approximately 4 Hz) mesh of displacement are encoded in a C program.© (1996) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.