Topological characterization of porous solids

从工程的角度来看，对3D物体和结构的传统评估与它们的尺寸，形状，方向和结构（生物或人造）内材料的分布有关。相比之下，3D对象的拓扑分析检查其主要结构蓝图，该蓝图在缩放或任何连续变形（拉伸和弯曲，但不撕裂或合并元素）时不会改变。例如，桶在拓扑结构上与管道不同，即使它们由相同的材料制成并且具有相同的尺寸，它们也不能互换使用。由于拓扑属性可能对3D物体的力学行为和性能有基本的影响，因此必须在相同的分析环境中考虑形态和拓扑。一些肯定会从拓扑分析中受益的研究领域是土木工程、增材制造和骨骼生物学。然而，现有的拓扑表征例程是稀疏的。多孔固体的拓扑分析需要找到合适的算法，并开发一种协议，以生成一个增值的、创新的补充程序，并将其集成到物体和结构的3D评估中。该项目将为3D物体评价建立新的标准**。Dragonfly（由Object Research Systems， ORS， Montreal开发）是一个3D图像处理平台，能够在一个用户友好的工作流程中处理大型3D数据集和基于宏的分析（包括机器/深度学习）。该项目将分配给麦吉尔大学现有的实习生，他们对生物学的数学原理和编码专业知识感兴趣，他们将编写拓扑分析代码脚本，创建引导用户界面（GUI）并使用不同的3D对象优化工作流程。**将新的分析常规纳入Dragonfly将使其在基础研究，工业和生物医学成像方面更加精简和有效，从而增加用户数量并最大化**收入。

Conventional evaluation of 3D objects and structures, from an engineering standpoint, is concerned with their**size, shape, orientation and distribution of material within a structure (biological or human-made). In contrast,**topological analysis of a 3D object examines its principal structural blueprint that does not change upon scaling**or any continuous deformation (stretching and bending, but not tearing or merging, of elements). For example,**a bucket is different from a pipe topologically, even if they are made of the same material and have the same**dimensions, and they cannot be used interchangeably. Since topological attributes may have fundamental**influences on the mechanical behavior and properties of a 3D object, both morphology and topology must be**considered in the same analytical context. Some of the research fields that will certainly benefit from**topological analysis are civil engineering, additive manufacturing and skeletal biology. Yet, existing**topological characterization routines are sparse. Topological analysis of porous solids requires finding**appropriate algorithms and developing a protocol to generate an added-value, innovative complementary**routine to be integrated into 3D evaluation of objects and structures. This project will establish a new standard**for 3D object evaluation. Dragonfly (by Object Research Systems, ORS, Montreal) is a 3D image processing**platform capable of large 3D datasets handling and macro-based analysis (including machine/deep learning) in**one user-friendly workflow. The project will be assigned to an existing trainee at McGill selected for their**interest in mathematical principles of biology and coding expertise, who will write the topological analysis**code script, create a guided-user interface (GUI) and optimize the workflow using different 3D objects.**Incorporation of the new analytical routine into Dragonfly will make it more streamlined and effective in basic**research, in industry, and in biomedical imaging, thus increasing the number of users and maximizing**revenues.