3D打印技术的兴起在许多领域掀起了新的研究热点, 《3D打印中的优化设计》应用课题针对几何处理领域中的许多相关问题做了系统性的研究，其中包括在3D 打印中通过几何模型的结构优化以节省打印材料和打印时间的问题，三维几何模型保持特征的去噪和构建问题，以及三维几何模型的序贯重建和多余分支去除问题. 相关问题中多涉及含有复杂约束的优化问题，以及压缩感知和稀疏优化问题. 本文简要总结了上述问题的研究方法，并从几何优化的角度阐述了其中运筹学原理与方法的运用，表明了运筹学工具在相关领域研究中的重要性和有效性.

The rise of 3D printing technology has stimulated a lot of hot research points in a number of research fields. The project Optimal Design in 3D Printing Applications has systematically studied many related topics in geometry processing, including saving printing material and printing time by structural optimization of 3D geometric models, feature-preserving denoising and construction of surfaces, and sequential construction and spurious sheets removal of 3D models. Many of the problems involve optimization models with complicated constraints, sparse representation and compress sensing. In this paper, we briefly summary the methods used in these problems, and reinterpret the use of operations research theories and algorithms in the perspective of geometric optimization, which indicates the importance and effectiveness of operations research tools in the study of related fields.