Purpose of the development: Разработка научных основ моделирования групповых структур в топологических преобразованиях морфологических свойств поверхности тела в поверхность одежды с прогнозируемым уровнем качества в каждом типе проектно-конструкторской документации.

Recommended application field: Light industry, garment industry and enterprises in the higher educational institutions of Ukraine, 

Technical characteristic: Sound scientific basis for the use of mathematical models of discrete topological spaces of "man-clothes" - in the process of designing products for light industry. The principles and propose a mathematical formalism describing the continuity of the maps in a metric space group structures design objects,  Mathematical modeling of the wireframe models of the object surface is built on ensuring the continuity of the maps of the body surface in a linear frame model articulation surface of the garment to meet the conditions of isolation of closed sets. Proved the transitivity of geometric modules in the design surface of the dummy module surface of the garment according to the modification of algorithms that are implemented by a mathematical method of decomposition processes of modular design,  Based on the established theoretical propositions generated CAD module subsystem "Designer", 

Advantages over analogues: It has no analogues in Ukraine. First obtained by mathematical models and their solutions using a system of inclusions in the two-point topology from the point of ways to specify the topology ekvivaletnonosti and heredity metrics in discrete surfaces of topological spaces figures dummy layers and clothing.

The development stage readiness: Introduced in production

Technical and economic effect: The results of research are introduced at the individual and the garment industry in the higher educational institutions of Ukraine, in particular, in the learning process of the Kiev national university of technology and design, the production process of JSC "skirts" (Vinnitsa),  The expected economic effect of 5865.7 UAH,  1000 products in 2008 prices

Description of the development:
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Clothing relates to a complex technical system, in each of which all the functional elements distributed into two groups: basic and those that provide. The main element is the design of clothing, drawings, which produces a synthesis of interconnected structural elements in the form of structural modules that reproduce the sweep surface areas.     Experience in the use of CAD in the apparel industry showed that each subsystem is based on the traditional technologies of design, which does not allow a sufficient amount to use mathematical modeling graphical objects that the total design information ranging from 80 to 90%.   The mathematical apparatus of a large number of graphical editors based on the matrix elements of the description of the object and allows you to interactively perform the following types of transformations as the transfer, tension, compression, which are involved in all stages of design.   The basis of the research on the development of scientific bases of modeling metric space design clothes on the theory of group structures, which describes the topological transformation of a family of open subsets of the surface of the garment.  First obtained by mathematical models and their solutions using a system of inclusions in the two-point topology from the point of ways to specify the topology ekvivaletnonosti and heredity metrics in discrete surfaces of topological spaces figures dummy layers and clothing. Based on the properties of the circuit maps, uniformity factor spaces of the surface of the dummy and the matrix structure, certain internal endpoints studied wireframes and proven relationship combinational elements of "constructive geometric module module" in the design of clothing. It is experimentally proved that if the group operations are various types of maps, such as: - Homomorphism - constructive module is a reflection of the geometric module; - Epimorfizm - a reflection of silhouettes of basic shapes; - Monomorphism - a reflection of the transformation of silhouettes; - Isomorphism - a reflection of silhouettes of derivative forms. The dependences of the metric space of metrics of topological spaces and linear m mesh frame, the   A model of the formation of the matrix structure surface of the garment, which is close to the traditional metric of designing clothes that allowed us to obtain a set of graphic modules scan the surface of the dummy with the typical articulation and configurations. The use of computer graphics theory and algebraic logic has provided a modular synthesis of three-dimensional objects and design in the form of graphical models of surfaces as well as the typical dummy and harmonious shapes. Mathematical software modeling the silhouette transformation of structures and shoulder belt products sold in a way to automate the modification. Algorithms design stages based on established theoretical propositions ensure the formation of the subsystem modules "Technical drawing", "designer", "Patterns" on the basis of mathematical decomposition method, pre-production stages of design.   The results of research are introduced at the individual and the garment industry in the higher educational institutions of Ukraine.

Information about newness of the development:
there are Ukrainian patents -- 1 items

corresponds technical description
Conforms to technical characteristic

Possibility of transfer abroad:
Licence's sale
Technological document's sale

Photo

Country Russia

For additional information turn to:
E-mail: gal@uintei.kiev.ua