3D Image segmentation and shape characterisation driven by topological persistence

断层成像正在成为一种新的工具，帮助解决一系列引人注目的科学挑战。健康的骨骼与骨质疏松患者的骨骼有什么区别？地下水污染是如何传播的？为什么澳洲坚果这么难敲开？蝴蝶翅膀上的彩虹是什么造成的？这些只是仅在澳大利亚的断层扫描设施正在回答的几个问题。通过将复杂的数学与尖端的图像处理算法相结合，该项目将产生一种新的拓扑驱动的图像分析技术，将提高从断层图像进行预测的准确性和可靠性。

Tomographic imaging is emerging as a new tool to help tackle a remarkable array of scientific challenges. What distinguishes healthy bone from that of osteoporosis sufferers? How does groundwater contamination spread? Why is a macadamia nut so hard to crack? What causes the iridescence in a butterfly wing? These are just a few of the questions being answered at tomographic facilities in Australia alone. By combining sophisticated mathematics with cutting edge image-processing algorithms, this project will yield a new class of topology driven image analysis techniques that will improve the accuracy and reliability of predictions made from tomographic images.