Towards additive manufacturing oriented geometric modeling using implicit functions  

作　　者：Qingde Li Qingqi Hong Quan Qi Xinhui Ma Xie Han Jie Tian 

机构地区：[1]School of Engineering and Computer Science,University of Hull,Hull HU67RX,UK [2]Software School,Xiamen University,Xiamen,China [3]School of Computer Science and Control Engineering,North University of China,Taiyuan,China [4]Intelligent Bioinformatics Systems Division,Institute of Automation,The Chinese Academy of Sciences,Beijing,China

出　　处：《Visual Computing for Industry,Biomedicine,and Art》2018年第1期95-110,共16页工医艺的可视计算（英文）

基　　金：supported by the National Natural Science Foundation of China(Grant No.61502402 and 61379080);the Natural Science Foundation of Fujian Province of China(Grant No.2015J05129).

摘　　要：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.

关 键 词：Additive manufacturing 3D printing-friendly CAD Implicit function ISOSURFACE LEVEL-SET Function-based shape modeling Implicit modeling 

分 类 号：O17[理学—数学]