To evaluate the representation performance of the method, we apply it to the distribution of relative position of two amino-acid-residues in a protein chain. We firstly apply this method to represent the distribution of three dihedral angles (φ^d,ψ^d,ω^d) which almost perfectly represents the relative position of adjacent residues, and then apply it to the distribution of the relative position of two residues separated in the sequence, where the relative position is represented by polar coordinates (r^p,θ^p,φ^p) and Euler's angle (θ^e,φ^e,ψ^e).