“…where 0 0 0 and I I I denote respectively the zero and the identity matrices. A projection operation on an image X X X by k pixels of shift to the horizontal direction is obtained by [11]- [14], [16]- [20], [22], [52], [53] (c) Nil Palmprint (d) [23], [24], [27]- [30] (e) [54] (f) [25], [26], [31]- [36] Palm-vein + palmprint (g) [55] (h) [15], [48], [56]- [58] (i) [50] a : The conference presentation [21] was a preliminary work of the current proposal. b : The current manuscript has lower than 10% of content overlap with that of [21].…”