Towards additive manufacturing oriented geometric modeling using implicit functions
Towards additive manufacturing oriented geometric modeling using implicit functions
复制标题
使用隐函数进行面向增材制造的几何建模
DOI：
10.1186/s42492-018-0009-y
复制
发表时间：
2018-09
影响因子：
--
通讯作者：
Jie Tian
中科院分区：
文献类型：
--
作者：
Qingde Li;Qingqi Hong;Quan Qi;Xinhui Ma;Xie Han;Jie Tian
基于曲面的几何造型在可视化和传统的计算机数控切削机床减材制造方面具有许多优势。然而，这不是增材制造的理想解决方案，因为要使用某种增材制造技术数字打印表面表示的几何对象，对象必须转换为实体表示。然而，将已知的基于表面的几何表示转换为可打印的表示本质上是一个重新设计过程，并且当需要考虑其内部材料结构时尤其如此。为了指定一个准备好进行数字制造的3D几何对象，它的表示必须是某种体积形式。在这项研究中，我们展示了如何通过使用隐式表示的几何对象来轻松解决增材制造中遇到的一些困难。就像基于表面的几何表示是减材制造友好的一样，隐式描述的几何对象是增材制造友好的：隐式形状是3D打印就绪的。隐式几何表示允许将几何形状、材料颜色、内部材料结构和其他所需属性组合在一个单个描述中作为一组隐式函数，并且不需要转换。此外，由于隐式对象通常是按程序指定的，因此在其规范中使用的数据非常少，这使得它们对于现代基于云的移动的设备的设计和可视化特别有用，这些设备通常没有非常大的存储空间。最后，隐式建模是一种并行计算友好的设计过程，因为复杂几何对象的设计可以分为一组简单的形状设计任务，由于形状保持隐式混合操作的可用性。
Surface-based geometric modeling has many advantages in terms of visualization and traditional subtractive manufacturing using computer-numerical-control cutting-machine tools. However, it is not an ideal solution for additive manufacturing because to digitally print a surface-represented geometric object using a certain additive manufacturing technology, the object has to be converted into a solid representation. However, converting a known surface-based geometric representation into a printable representation is essentially a redesign process, and this is especially the case, when its interior material structure needs to be considered. To specify a 3D geometric object that is ready to be digitally manufactured, its representation has to be in a certain volumetric form. In this research, we show how some of the difficulties experienced in additive manufacturing can be easily solved by using implicitly represented geometric objects. Like surface-based geometric representation is subtractive manufacturing-friendly, implicitly described geometric objects are additive manufacturing-friendly: implicit shapes are 3D printing ready. The implicit geometric representation allows to combine a geometric shape, material colors, an interior material structure, and other required attributes in one single description as a set of implicit functions, and no conversion is needed. In addition, as implicit objects are typically specified procedurally, very little data is used in their specifications, which makes them particularly useful for design and visualization with modern cloud-based mobile devices, which usually do not have very big storage spaces. Finally, implicit modeling is a design procedure that is parallel computing-friendly, as the design of a complex geometric object can be divided into a set of simple shape-designing tasks, owing to the availability of shape-preserving implicit blending operations.
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DOI：
10.1145/1201775.882293
发表时间：
2003-07
期刊：
ACM SIGGRAPH 2003 Papers
影响因子：
--
作者：
Y. Ohtake;A. Belyaev;M. Alexa;Greg Turk;H. Seidel
通讯作者：
Y. Ohtake;A. Belyaev;M. Alexa;Greg Turk;H. Seidel
DOI：
10.1145/1179352.1141939
发表时间：
2006-07
期刊：
ACM SIGGRAPH 2006 Papers
影响因子：
--
作者：
Charles T. Loop;J. Blinn
通讯作者：
Charles T. Loop;J. Blinn
DOI：
10.1145/800064.801290
发表时间：
1982-07
期刊：
Proceedings of the 9th annual conference on Computer graphics and interactive techniques
影响因子：
--
作者：
J. Blinn
通讯作者：
J. Blinn
影响因子：
2.9
作者：
T. Fries;Samir Omerovic
通讯作者：
T. Fries;Samir Omerovic
影响因子：
1.8
作者：
B. A. Payne;A. Toga
通讯作者：
B. A. Payne;A. Toga