Development of mathematical model of draped fabric with use of 3-D scanning data

The aim of the paper is to determine of possibility of draped fabrics mathematical model obtaining on the base of 3D-scanning results. The subject of the investigation was linen fabric treated by silicone softening agent. During the research this fabric was scanned with obtaining array of data for further statistical processing. Type of the mathematical model was selected for describing of draped fabric cross-section contour on the different distances from supporting disc with high precision. Summarizing the obtained results a mathematical model of the surface of draped fabrics was obtained with coefficients which depend on their composition and structure.