Patent ID: 8195004

Claim:
A device for processing images forming initial tensor images, comprising: a first computing unit configured to implement a first selected function, which is bijective and is defined as the space R*+ in space R, the first selected function admitting a second reciprocal function; and a first processing unit coupled to the first computing unit and configured to form a first representation of a received tensor image, to invoke the first computing unit to apply the first function from a selected part of the first representation, to obtain a transformed part, and to form from the first transformed part a second representation of the tensor image adapted to a subsequent image processing, wherein each tensor is a real symmetrical matrix which is defined as positive and represents an elementary part of a received tensor image, wherein the first selection function is associated with a selected metric of type log-euclidian, wherein the first processing unit is further configured to form each first representation as a product of a first orthogonal matrix, a diagonal matrix having coefficients, and a second orthogonal matrix transposed from the first orthogonal matrix, wherein the first processing unit is configured to invoke the first computing unit so that the first computing unit applies the first selected function to each of the coefficients located on the diagonal of the diagonal matrix to obtain a transformed diagonal matrix forming the transformed part, wherein the first processing unit is configured to produce a final symmetrical matrix at least representing the second representation from a product of the first orthogonal matrix, the transformed diagonal matrix, and the second orthogonal matrix, and wherein the diagonal matrix forms the selected part of the first representation.