Geometric modeling and simulation for leno fabrics

The leno fabric is widely used in production and life for its distinctive style. However, its production and design are hindered by the unique weaving process. In this paper, a three-dimensional simulation algorithm is proposed to enhance the efficiency of leno fabric production. Three geometric models are constructed that systematically address different aspects of fabric simulation. The Yarn Spatial Trajectory Model, in which the centerline trajectory of the yarn is controlled by the weave matrix, allowing for the realistic simulation of intertwined yarns characteristic of leno structures. The Variable Coefficient Elliptic Cross-Section Model, by which yarn collisions are prevented and computational demands are reduced. The Multifilament Model, critical to rendering quality, accurately captures the textural characteristics of yarns and fabrics. Leno fabrics are simulated based on the above models. The simulation results show that: different yarn counts and twists, fabric counts, hexagonal hole sizes, and other simulation effects can be achieved by entering different parameters. By the 3D simulation algorithm developed in this study, simulation fabrics have clear textures, precise structures, and realistic visual effects, thereby advancing the technology of leno fabric production.