Množico podobnih slik lahko opišemo kot podmnožico ▫$M$▫ evklidskega prostora ▫$\mathbb R^N$▫, kjer je ▫$N$▫ število točk na sliki. Pogosto je smiselno privzeti, da je ▫$M$▫ mnogoterost. Za uporaben ...opis in rekonstrukcijo mnogoterosti ▫$M$▫ najprej reduciramo dimenzijo ambientnega prostora s pomočjo metode glavnih komponent Potem pa z aproksimacijo poiščemo približek za ▫$M$▫ v obliki parametrizirane mnogoterosti, ali pa z metodami digitalne topologije opišemo ▫$M$▫ kot simplicialni kompleks. Geometrijske in topološke lastnosti mnogoterosti ▫$M$▫ odražajo lastnosti zajetih slik.
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