An Introduction to Functional Data Analysis of Populations of Tree-structured Objects
نویسندگان
چکیده
This paper proposes a new method for understanding the structure of populations of complex objects in the area of medical image analysis. The new methods require invention of approaches to the statistical analysis of a population of tree-structured objects. The approach is based on a metric in tree space. The metric provides a foundation for defining a notion of population center. In Functional Data Analysis, variation about the center is usually analyzed by Principal Component Analysis. Here an analog of PCA is developed for tree space.
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