Statistical Shape Theory
There are many variations on what one may regard as statistical shape, depending on the application in mind. The focus of this chapter is the statistical analysis of the shapes determined by finite sequences of points in a Euclidean space. We shall draw together a range of ideas from statistical shape theory, including distributions, diffusions, estimations and computations, emphasizing the role played by the underlying geometry. Applications in selected areas of current interest will be discussed.
Keywords: statistical shape, Euclidean space, distributions, diffusions, estimations, computations
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