A new approach to the modeling of plain knitted fabrics is presented for their deformation control. There exist many manipulative operations that deal with deformable soft objects such as clothes, papers, wires, and so on. Most of these operations are still done manually by skilled workers and automatic control of these operations is required. Especially, automatic handling of knitted fabrics is desired in garment industries. Automatic handling of knitted fabrics is, however, difficult to be performed by machines since the knitted fabrics can be easily deformed and extended during the handling operations. It is needed to control the deformation of knitted fabrics during the operations. A mathematical model of the fabrics will enable us to derive efficient strategy to control their deformation. Therefore, a mathematical model of the fabrics is essential for the deformation control.
In this paper, we present a mathematical model of plain knitted fabrics based on their loop structure. Plain knitted fabrics consist of knitted loops and shapes of the fabric can be derived by computing the deformation of the loops involved in a fabric. It is, however, difficult and time consuming to calculate all deformed shapes of a huge number of knitted loops involved in a fabric. We thus propose a new procedure called
representative loop method so that the deformation can be computed in an appropriate time. In the representative loop method, some representative loops are selected in advance in order to compute the deformed shapes of all other loops by interpolating those of the representative loops. The validity of the proposed method is then demonstrated through the comparison of the calculated shapes and the real images of deformed knitted fabrics.
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