Volume segmentation based on surface attributes is an essential problem in multi-material fabrication and model packing. In practice, current mainstream fabrication techniques have difficulties in yielding models with diverse surface attributes in one pass owing to their craft limitations, making model segmentation a sensible choice for model realization. Partitioning 3D objects into single-attribute volumetric parts prevents fabricating models with different material in a single printing procedure, whereas the arisen challenge is to determine a reliable segmentation solution that is able to handle complicated models in various use scenarios. To achieve this goal, we propose a novel volume partition algorithm generating feasible volumetric parts, each of which is affiliated with one single surface attribute. Our technique enables model segmentation with least conflict and constrained wall thickness so that each volumetric segment can be realized independently by 3D-printing. Generally, it starts with computing a partition proposal guided by radial-based-function iso-surface, then optimizes segmentation interface with a prescribed minimal printing thickness to produce high-quality surface for every volumetric part, and finally splits unextractable volumetric parts into smaller sub-volumes to ensure assemblability of the whole model. As previous methods do not work well in optimizing segment interface for printing, we propose a differential evolution based smoothing algorithm to generate smooth and continuous interface, declining the risk of collision between adjacent volumetric parts. Extensive experimental results are provided in this paper to demonstrate the effectiveness and quality of our proposed technique, showing its advantages on model manufacture over prior methods.

基于表面属性的体积分割是多材料制造和模型包装中的一个基本问题。在实践中，当前的主流制造技术由于其工艺限制，难以一次性生成具有多种表面属性的模型，这使得模型分割成为模型实现的明智选择。将 3D 对象分割成单一属性的体积零件可以防止在单个打印过程中制造具有不同材料的模型，而出现的挑战是确定能够在各种使用场景中处理复杂模型的可靠分割解决方案。为了实现这一目标，我们提出了一种新的体积分割算法，生成可行的体积部分，每个部分都与一个单一的表面属性相关联。我们的技术能够以最少的冲突和约束壁厚实现模型分割，以便每个体积段都可以通过 3D 打印独立实现。通常，它首先计算基于径向函数等值面引导的分区建议，然后以规定的最小打印厚度优化分割界面，为每个体积部分生成高质量的表面，最后将不可提取的体积部分分割成更小的子-volumes 以确保整个模型的可组装性。由于以前的方法在优化打印段界面方面效果不佳，我们提出了一种基于差分进化的平滑算法来生成平滑连续的界面，降低相邻体积部分之间碰撞的风险。