We propose in this paper to introduce a spinor representation for images based on the work of T. Friedrich. This spinor representation generalizes to arbitrary surfaces (immersed in R^3) the usual Weierstrass representation of minimal surfaces (i.e. surfaces with constant mean curvature equal to zero). We investigate applications to image processing focusing on segmentation and Clifford Fourier analysis. All these applications involve sections of the spinor bundle of the image graph, that is spinor fields, satisfying the so-called Dirac equation.
