1. A method for processing a first representation of a geometry of a component that is stored in a computer file, the method comprising: analyzing, using a computing device, the first representation of the geometry of the component; and upon analysis, generating a second, non-invertible representation of the geometry of the component from the first representation, wherein the second representation is at least partially independent of a rotation or a translation of the component in space, and wherein generating the second non-invertible representation includes simulating a distribution of a field over a surface of the geometry of the component as boundary conditions for a solution to a differential equation, the solution comprising a mathematically expanded set of coefficients comprising a unique representation of the boundary conditions, and wherein a non-invertibility aspect of the second, non-invertible representation is derived from an inherent non-invertibility of the solution of the differential equation.