We are developing a system within the limitations of a statically draped shape which presents many shapes satisfying the reference conditions, such as the number of nodes, and simultaneously indicates the mechanical properties. In this system, it is required to present many draped shapes corresponding adequately to the given reference conditions. For this reason, we have tried to consolidate the various draped shapes calculated in a garment simulation as a regression equation. As the first step, we have tried to made regression equations of a hemline shape. The explanatory variables are the number of nodes, existence/absence of contact, bending length, pendant length, and radius of a support stand. Although the response variables are coordinate values of the hemline, they are changed to Fourier coefficients selected to reduce the number of variables. The number of selected Fourier coefficients, i.e., the number of regression equations, was a total of 220. Two hemlines, one of which calculated using the regression equation and another determined using the original garment simulation, had a relationship with a high coefficient of determination and were well in agreement. By using the regression equations, it was possible to design an arbitrary hemline shape corresponding to the conditions of the number of nodes and existence of contact.
The Discrete Fourier Transform (DFT) is applied to characterize textural features of fabric surfaces crinkled by wrinkling and tie-dyeing. A two-dimensional (2-D) power spectrum is derived from DFT of a digitized fabric image captured by a color scanner. To described the radial frequency (f) distribution of the 2-D power spectrum, a one-dimensional power spectrum, P (f) is derived from the 2-D power spectrum. Since there is a good linear relation between log P (f) and log f for all the fabrics used in this study, we estimated the slope of a line, α for each of them. The α-value is the coefficient of the 1/fα fluctuation. Although several kinds of fluctuation are observed in fabric surfaces, these are mainly divided into three groups by the α -value, i.e., α=0, 1 and 2. The 1/fα fluctuation is discussed in relation to random wrinkle, sharp crease and crape of fabric surfaces.