基于椅子铺砌方法的织物组织设计

Application of chair-tiling approach for fabric weave design

为丰富织物组织的表达形式,扩充传统织物组织的设计空间,引入数学与艺术交叉领域中的铺砌思想,从构造织物组织空间布局的角度提出一种基于椅子铺砌的织物组织设计方法。首先基于扩充—再分过程的替换法,运用空间四叉树生成多层次椅子铺砌,形成织物组织的空间布局结构,然后依据该结构将用户设计的铺砌块组织单元运用几何对称变换进行填充,从而形成椅子铺砌组织。运用C++编程语言实现了核算法并进行仿真实验。结果表明:采用椅子铺砌方法设计织物组织过程简单,所生成的组织不仅具有自相似性、层次嵌套等类似分形组织的特点,同时又具有局部对称、乱中有序等传统组织所不具有的新特点,能起到一定的防伪作用,为织物组织的数字化设计探索了新途径。

To enrich the varieties of fabric weaves and expand its design space,the idea of tilings from the areas of mathematics and art is introduced and a chair-tiling approach for fabric weave design was experimented on.Based on the expansion-subdivision strategy,the space quad-tree was used to construct multi-layer chair tilings,creating space layout for fabric weaves.The space structure is tessellated with the designed tile-weave using geometric symmetry transformations,which led to the creation of the chair-tiling weaves.The simulation algorithm of the weave design method was implemented with C++programming language and the research shows that the designed fabric weaves has some similarity with fractal fabric weaves such as self-similarity as well as hierarchical nesting and also holds its own special features,e.g.local symmetries and orderliness in the midst of disorder.This research demonstrated a new method for digitized design of fabric weaves.