A Study on Procedural Generation of Traditional Ornaments and Their Output by using Digital Fabrication

这项研究首先开发了一个生成哥特式跟踪序列的算法。我们尝试了一种面向主题的方法，即算法自动在封闭的2D空间中寻找合适的位置来放置主题。然后，该算法自动计算和排列所需的圆圈和线条来绘制图案。该算法可以自动生成一些主要的哥特式图案，递归执行该算法可以生成2D复杂的图案，作为算法的应用，通过位移映射将2D生成的图像转换为3D模型数据。此外，使用3D打印机将3D数据打印为真实对象。

This research started with developing an algorithm to generate Gothic Traceries. We attempted a motif-oriented approach whereby the algorithm automatically seeks an appropriate position in a closed 2D space for placement of a motif. Then, the algorithm calculates and arranges the necessary circles and lines automatically to draw the motif. This algorithm can produce some principal Gothic-style motifs automatically, and recursive execution of the algorithm can generate 2D complicated patterns.As an algorithm application, a 2D resultant image is converted to a 3D model data by using displacement mapping. Also, the 3D data was printed as a real object by using a 3D printer.