A computer-implemented method for generating a corresponding 3D mesh representing a 3D object includes transforming an initial three-dimensional mesh into a planar mesh, wherein each vertex or edge of the planar mesh is a transformation of a vertex or edge from the initial three-dimensional mesh; and sampling the planar mesh to generate a plurality of samples such that each sample comprises a three-dimensional coordinate representing a point in a three-dimensional space derived and/or taken directly from the initial three-dimensional mesh, and a coordinate representing a position of the sample relative to other samples; and generating the sampled matrix based on the plurality of samples; and representing the sampled matrix as a corresponding 3D mesh.