“…Subsequently, several techniques were raised and used for the watermark image, such as the Zernike moments (ZMs), the pseudo-Zernike moments (PZMs), the Tchebichef moments (TMs), wavelet moments, Krawtchouk moments (KMs), Legendre moments (LMs), and Fourier Mellin moments (FMMs), which were investigated and evaluated in Ref. 30, 31, 32, etc. In 2013, Singh and Radane 33,34 introduced an adaptive watermarking scheme for geometrically invariant and improved the high capacity of watermarking based on the ZMs, the PHTs, and the radial harmonic Fourier moments. Generally speaking, the moments and transforms can be divided into two types: the orthogonal and the nonorthogonal.…”