Machine knitted textiles are complex multi-scale material structures increasingly important in many industries, including consumer products, architecture, composites, medical, and military. Computational modeling, simulation, and design of industrial fabrics require efficient representations of the spatial, material, and physical properties of such structures. We propose a process-oriented representation, TopoKnit, that defines a foundational data structure for representing the topology of weft-knitted textiles at the yarn scale. Process space serves as an intermediary between the machine and fabric spaces, and supports a concise, computationally efficient evaluation approach based on on-demand, near constant-time queries. In this paper, we define the properties of the process space, and design a data structure to represent it and algorithms to evaluate it. We demonstrate the effectiveness of the representation scheme by providing results of evaluations of the data structure in support of common topological operations in the fabric space.
翻译:机械编织纺织品是许多行业中日益重要的复杂、多规模的材料结构,包括消费品、建筑、合成物、医疗和军事。 工业织物的计算模型、模拟和设计要求高效地展示这种结构的空间、材料和物理特性。我们提议了一个面向过程的表述方式,TopoKnit,它界定了一种基础数据结构,用以代表木材规模的织物的地形。过程空间作为机器和结构空间之间的中间线,支持一种基于需求、近乎固定时间的查询的简明、计算高效的评价方法。我们在本文件中界定了工艺空间的特性,设计了一种数据结构来代表它,并设计了评价它的方法。我们通过提供数据结构评价的结果来支持结构空间的共同地形作业,来证明这种表述方式的有效性。