基于测地线距离场的多轴无支撑打印曲面层体分解
Geodesic Distance Field-based Curved Layer Volume Decomposition for Multi-Axis Support-free Printing
摘要：
提出了一种新的曲面层体积分解方法，用于自由实体零件的多轴无支撑打印。给定一个表示为四面体网格的待打印实体模型，我们首先建立一个嵌入在网格上的测地线距离场，其在任何顶点处的值是到模型底部的测地线距离。接下来，模型自然地分解成弯曲层，通过插值的等测地线距离表面（IGDS）的数量。由于测地线的性质，这些IGDS以内在和平滑的方式从下向上变形，这将被用作对多轴打印友好的弯曲打印层。此外，为了满足无碰撞要求和提高打印效率，本文还提出了一种打印顺序优化算法，用于确定IGDS的打印顺序，以减少气路长度。在计算机模拟和物理打印中进行了大量的实验，实验结果证实了我们的方法的优越性。
英文摘要：
This paper presents a new curved layer volume decomposition method for multi-axis support-free printing of freeform solid parts. Given a solid model to be printed that is represented as a tetrahedral mesh, we first establish a geodesic distance field embedded on the mesh, whose value at any vertex is the geodesic distance to the base of the model. Next, the model is naturally decomposed into curved layers by interpolating a number of iso-geodesic distance surfaces (IGDSs). These IGDSs morph from bottom-up in an intrinsic and smooth way owing to the nature of geodesics, which will be used as the curved printing layers that are friendly to multi-axis printing. In addition, to cater to the collision-free requirement and to improve the printing efficiency, we also propose a printing sequence optimization algorithm for determining the printing order of the IGDSs, which helps reduce the air-move path length. Ample experiments in both computer simulation and physical printing are performed, and the experimental results confirm the advantages of our method.
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