We present a modified nonlinear correlation, called the morphological fringe-adjusted joint transform correlation (MFJTC), which is based on fringe-adjusted joint transform correlation (FJTC) and morphological correlation (MC). In MFJTC, the classical joint transform correlation (JTC) to implement the sublinear correlations (sub-LC) of MC is replaced with FJTC. The computer simulation results and an optoelectronic setup for MFJTC are given and compared with those of MC and FJTC. Simulations show that the MFJTC provides better stability against salt-and-pepper noise in the input scene, while maintaining high and sharp correlation signal. Although MFJTC loses the illumination-invariant recognition of MC when the input scene is brighter than the reference, it still ensures considerable discriminability.