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Computer vision needs suitable methods of shape representation and contour reconstruction. One of them called method of Hurwitz-Radon Matrices (MHR) can be used in representation and reconstruction of shapes of the objects in the plane. Another problem is connected with shape coefficients. This paper contains the way of length estimation and area estimation via MHR method. Proposed method is based on a family of Hurwitz-Radon (HR) matrices. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. The operator of Hurwitz-Radon (OHR), built from these matrices, is described. The shape is represented by the set of nodes. It is shown how to create the orthogonal and discrete OHR and how to use it in a process of shape representation and reconstruction. MHR method is interpolating the curve point by point without using any formula or function.