Optimization of Curves Distributions Intersections for a Near to Eye Display Design
Fabian Rainouard  3, 2, 1@  , Christophe Martinez  1  , Edouard Oudet  3  , Olivier Haeberlé  2  
3 : Laboratoire Jean Kuntzmann, Université de Grenoble Alpes, France
Laboratoire Jean Kuntzmann
2 : IRIMAS UR UHA 7499, Univ. Haute-Alsace
1 : CEA-LETI, Univ. Grenoble Alpes
Université Grenoble Alpes, CEA-LETI, MINATEC

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.

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