This article deals with the problem of constructing virtual mannequins with non-standard figures for the purposes of 3D design of clothes made of textiles. A definition of the notion “virtual mannequin” is suggested. The following classifying features of the virtual mannequin as a research model have been defined: according to the sphere of usage - scientific feature; to the form – information feature; to the development in time – static or dynamic; to the degree of reflecting basic features – parameterbased; to the degree of detailed representation – specified. The necessity of creating virtual mannequins with standard and nonstandard figures of consumers is established. Practical requirements for transforming informational surface of the mannequin have been introduced in the article. Suggested here is a new mathematical model for transforming virtual mannequin with a standard figure into the mannequin with a non-standard figure, different from the standard one in the “frame position” parameter.