“…For this characteristic to be powerful, it must be at least invariant in rotation, in translation and in scale. And for this reason, in recent years, applications on image analysis and pattern recognition have known very important developments including; image identification by Hu (1962), collected and image recovery by Teague (1980), infrared analysis by Zhang et al (2009), English and Chinese Letters analysis by Hjouji et al (2021a), walking detection by Lahouli et al (2018), dot spots by Hjouji et al (2021b), image noise by Ji et al (2009), face identification by El-Mekkaoui et al (2021), image description by Hosny and Darwish (2018), color form test by Assefa et al (2010), 3Dim image identification by Batioua et al (2017), image content by Singh (2012), image evaluation by El Ogri et al (2020), robust detection by , pattern storage by Hmimid et al (2015), use of sketches by Ansary et al (2006), scene report by Lin et al (2008), eye diseases detection and classification by Jenny et al (2023), correction of noisy images by Chen et al (2022), an accurate segmentation of the object of interest by Vite-Chávez et al (2023) …etc. In this article we base ourselves on the principles of orthogonal moments, Hu (1962) first proposed an extraction feature using non-orthogonal invariant moments.…”