Development of Cellular Automata Executable on 3D-object Surface and Multi-directional Projection Technique

我们开发了以下支持多方向投影映射的算法：1.找到均匀分布的点云以在3D模型表面生成均匀排列的六边形单元的运动模拟算法；2.在六边形细胞空间中模拟波纹扩散和游动的鱼的算法作为典型的2D动画算法；3.不使用相机估计投影器的位置和姿态的算法，以及变形图像的算法，可用于在3D对象表面上一致地投影图像。

We developed the following algorithms for supporting multi-directional projection mapping:1. A motion simulation algorithm for finding uniform distribution of point cloud to generate uniform arrangement of hexagonal cells on a 3D-model surface;2. Algorithms for simulating spreading ripples and swimming fishes as typical 2D-animation algorithms in hexagonal cellular space;3. Algorithms for estimating projector position and posture without using a camera and for deforming images, usable to project images consistently on a 3D-object surface.