This paper presents mathematical research to optimize curves distributions intersections for an original concept of Near to Eye Display for Augmented Reality applications. Our concept is based on diffraction; an optical effect strongly related to periodicity and very well formulated by mathematics in particular Fourier Optics. To break the periodicity of our display components we develop an improved mathematical models of curves based on randomly addressed complex B-Spline distribution. We present in our contribution this mathematical model and the method used to calculate intersections, we give some results and perspectives for our application.