Kulkarni, RishikeshRastogi, Pramod2020-04-112020-04-112020-04-112019-01-0110.1007/978-3-319-91989-8_31https://infoscience.epfl.ch/handle/20.500.14299/168122WOS:000521737400031Noting the fact that the phase and phase derivatives carry the information on the mechanical deformation in optical interferometric measurements techniques, we propose a noise robust fringe analysis technique for the simultaneous estimation of unwrapped phase and arbitrary order phase derivative from a phase fringe pattern. The continuous phase along row or column of the phase fringe pattern is approximated as a weighted linear combination of linearly independent basis functions such as Fourier basis. The weights are accurately estimated based on a state space analysis using the linear Kalman filter. Simulation and experimental results are provided to substantiate the applicability of the proposed method.phase estimationphase derivative estimationlinearly independent basis functionsstate space analysiskalman filtertext::conference output::conference proceedings::conference paper