Proposed a novel algorithm for phase derivatives determination from a single fringe pattern.

Method uses empirical mode decomposition (EMD), vortex operator (VO) and Teager–Kaiser energy operator (TKEO).

Unwrapped phase derivatives can be obtained directly using a novel image demodulation method called discrete higher order image demodulation algorithm (DHODA) so it is suitable for dynamic strain and curvature measurement.

Proposed method does not require complex experimental setup or more than one fringe pattern for each deformation state.

Proposed method validated by both simulation and experiment (ESPI); Method requires less computation time than existing phase demodulation techniques.