Ricci Flow for Shape Analysis and Surface Registration: Theories, Algorithms and Applications

Ricci Flow for Shape Analysis and Surface Registration: Theories, Algorithms and Applications
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DOI:
10.1007/978-1-4614-8781-4
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发表时间:
2013-10
期刊:
--
影响因子:
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通讯作者:
W. Zeng;X. Gu
W. Zeng;X. Gu
中科院分区:
其他
文献类型:
--
作者:
W. Zeng;X. Gu

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Ricci Flow for Shape Analysis and Surface Registration在离散环境中引入了美丽而深刻的Ricci流理论。通过使用线性代数和多元微积分的基本工具,读者可以推导出所有的主要定理曲面里奇流自己。作者将Ricci流理论应用于实际的计算算法,将Ricci流应用于形状分析和表面配准,并展示了Ricci流在医学成像,计算机图形学,计算机视觉和无线传感器网络等许多应用中的强大功能。由于最小的预处理,这本书是工程师和医学专家,包括教育工作者,研究人员,学生和工业工程师谁有兴趣解决真实的问题有关的形状分析和表面注册访问。
​ Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting. By using basic tools in linear algebra and multivariate calculus, readers can deduce all the major theorems in surface​ Ricci flow by themselves. The authors adapt the Ricci flow theory to practical computational algorithms, apply Ricci flow for shape analysis and surface registration, and demonstrate the power of Ricci flow in many applications in medical imaging, computer graphics, computer vision and wireless sensor network. Due to minimal pre-requisites, this book is accessible to engineers and medical experts, including educators, researchers, students and industry engineers who have an interest in solving real problems related to shape analysis and surface registration.