Helicoids have been utilized as a scaffold on which to define the topology and geometry of yarns in a weft-knitted fabric. The centerline of a yarn in the fabric is specified as a geodesic path, with constrained boundary conditions, running along a helicoid at a fixed distance. The properties and constraints of the yarn are formulated into a single “energy” function, which is then minimized to produce the desired resulting models. We present improvements to this approach that address the deficiencies of the original work and extend its capabilities to more complex stitches, such as transfer, tuck and miss. A single bicontinuous surface is described, which replaces discrete helicoids and produces higher quality, continuous yarn models. A new computational method is employed that significantly speeds up the optimization computations. Including offset surfaces with the scaffold, as well as removing sections of the scaffold, allow for the modeling of complex stitches. The improved approach produces superior geometric results, consisting of complex knitting stitches, at a fraction of the computational cost of the previous method.

螺旋线已被用作支架，在其上定义纬编织物中纱线的拓扑结构和几何形状。织物中纱线的中心线被指定为测地线路径，具有约束边界条件，沿螺旋线以固定距离运行。纱线的属性和约束被公式化为单个“能量”函数，然后将其最小化以生成所需的结果模型。我们提出了对这种方法的改进，以解决原始工作的缺陷并将其功能扩展到更复杂的针迹，例如转移、折叠和未命中。描述了单个双连续表面，它取代了离散的螺旋面并产生更高质量的连续纱线模型。采用了一种新的计算方法，可显着加快优化计算。包括带有脚手架的偏移表面，以及去除脚手架的部分，允许对复杂的针脚进行建模。改进的方法产生了卓越的几何结果，包括复杂的针织线圈，而计算成本只是前一种方法的一小部分。