基于任意四边形镶嵌的四方连续图案智能化设计技术研究

Intelligent Design Techniques of Square Continuous Patterns Based on Arbitrary Quadrilateral Tessellation

中文关键词: 任意四边形  镶嵌  四方连续  智能设计

英文关键词: arbitrary quadrilateral  tiling tessellation  square continuous pattern  intelligent design

中文摘要:

      目的 实现无交叠四方连续图案的快速设计，使图案元素排布均匀、画面紧凑，避免简单复制产生的僵硬感和机械感。方法 利用任意四边形可无缝镶嵌的特性，将待填充图案元素布置在一个四边形内，并绘制四边形包围轮廓。将镶嵌单元从直边四边形拓展到曲边四边形，给出了曲边四边形的可镶嵌性条件及镶嵌处理方案，实现了任意可镶嵌曲边四边形的人机协作快速构建方法，以及由不同图形单元组成的可镶嵌异质复合单元的构建方法。结论 基于平面设计师常用的矢量软件开发了设计工具。案例测试表明，开发的设计工具可准确识别用户绘制的四边形框架，并生成灵活的四方连续图案，非凸四边形和曲边四边形框架的应用增加了生成图案的多样性。开发的设计工具通过智能辨识设计师的手绘曲线进行运行，省去了复杂的界面操作，且交互性更加可靠。

英文摘要:

      This paper aims to realize fast design of non-overlapping square continuous pattern, with the properties of uniform and compact layout and to avoid the stiffness and mechanical feeling caused by simple reproduction. By utilizing the feature that any quadrilateral can be seamlessly tiles, the pattern elements to be filled were arranged in a quadrilateral, or the elements were first arranged and then the contour quadrilateral was then created. The paper expanded the elements to curve-edge quadrilaterals, and presented the tessellability conditions, together with the technical plan. The rapid construction method of tessellate curve-edge quadrilateral was realized through human-computer cooperation，and the construction method of tessellate heterogeneous elements. Design tools are developed based on software commonly used by graphic designers. The case test shows that the technology can accurately identify the quadrilateral frame drawn by users, and realize the flexible space filling quadrilateral continuous pattern. The application of non-convex quadrilateral and curved quadrilateral frame increases the diversity of generated patterns. The tools' operation is based on the intelligent identification designer's hand-drawn curve processing, thus the interface can be simplified, and the interaction performance is proved reliable.