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JOURNALS // Program Systems: Theory and Applications // Archive

Program Systems: Theory and Applications, 2020 Volume 11, Issue 3, Pages 3–16 (Mi ps367)

Mathematic Modeling

Mathematical modeling in systems of design patterns

O. V. Zhurenkov

Altai State University

Abstract: Analysis of the state of the CAD market for light industry and software available for small businesses and individual entrepreneurs in this industry shows insufficient provision of information technologies in this segment. For a described model of the usual business process for the manufacture of patterns, this work identifies minimum requirements for software for small businesses engaged in individual sewing.
It describes the minimum list of graphic primitives and operations for constructing the base and modeling patterns. Objects constructed with these primitives depend on predefined dimensional parameters. Saving in an open format graphic file makes it possible to use free vector graphic editors for further modeling. For greater user convenience, the basic set of graphic primitives is supplemented with a set of operations for an affine transformation of constructed objects. The result is the requirements for the construction of an automated workstation for a fashion designer. These requirements for a mathematical model and object transformation principles form the basis for a future design and modeling subsystem, suitable for any of the currently used techniques.

Key words and phrases: CAD, parametric modeling, affine transformations.

UDC: 519.67:687.021
BBK: 32.988-5:Ì402

MSC: Primary 97G40; Secondary 97R60, 97R70

Received: 02.04.2020
06.05.2020

DOI: 10.25209/2079-3316-2020-11-3-3-16



© Steklov Math. Inst. of RAS, 2024