论文标题
自由形表面的长度 - 最佳工具路径计划带有首选的饲料方向
Length-optimal tool path planning for freeform surfaces with preferred feed directions
论文作者
论文摘要
本文提出了一种新方法，以生成用于加工自由式表面的工具路径，该表面表示为参数表面或三角形网格。此方法允许首选的进料方向场和恒定扇贝高度之间的最佳权衡，并产生最小化的总路径长度。通过将工具路径计划作为泊松问题来实现最佳性，从而最大程度地减少了简单的二次能量。该泊松配方立即考虑所有工具路径，而无需诉诸于现有方法中选择的任何启发式采样或初始工具路径，因此是全球最佳解决方案。查找最佳工具路径等于解决一个条件良好的稀疏线性系统，该系统在计算上方便且高效。工具路径用隐式方案表示，该方案可以完全避免在以前的方法中看到的路径奇异性和自我交流的富有成效的拓扑问题。提出的方法已通过一系列示例和比较进行了验证。
This paper presents a new method to generate tool paths for machining freeform surfaces represented either as parametric surfaces or as triangular meshes. This method allows for the optimal tradeoff between the preferred feed direction field and the constant scallop height, and yields a minimized overall path length. The optimality is achieved by formulating tool path planning as a Poisson problem that minimizes a simple, quadratic energy. This Poisson formulation considers all tool paths at once, without resorting to any heuristic sampling or initial tool path choosing as in existing methods, and is thus a globally optimal solution. Finding the optimal tool paths amounts to solving a well-conditioned sparse linear system, which is computationally convenient and efficient. Tool paths are represented with an implicit scheme that can completely avoid the challenging topological issues of path singularities and self-intersections seen in previous methods. The presented method has been validated with a series of examples and comparisons.
