Image correlation/registration is playing an increasing role in many domains such as biomedical engineering. Despite significant progress in the past decades, robustness, efficiency and precision of existing methods and tools must still be improved to translate them into medical and engineering applications. This abstract describes a finite element-based image correlation method with, as regularization, a novel continuum large deformation formulation of the equilibrium gap principle (introduced in [Claire et al., 2004] at the discrete level for linearized elasticity).