1. An image backup method of a computing system including a host and a memory system provided separately from and communicatively coupled to the host, the image backup method comprising: receiving, by the host, a first image, together with a backup request; applying, by a perceptual hash engine of the host, a perceptual hash function to the first image to generate a perceptual hash value of the first image; performing, by the host, a similarity determination between the first image and a plurality of images stored in the memory system, based on the perceptual hash value of the first image; providing, by the host to the memory system that is separate from the host, the first image when the result of the similarity determination is identical or similar; receiving, by the memory system, the first image from the host when the result of the similarity determination is identical or similar; applying, by a cryptographic hash engine of the memory system, a cryptographic hash function to the first image to generate a cryptographic hash value of the first image; performing, by the memory system, an identity determination between the first image and the plurality of images, based on the cryptographic hash value of the first image; and providing, by the memory system to the host, information for determining a storage method of the first image according to a result of the identity determination, wherein the performing the similarity determination comprises: