Abstract
AbstractA framework is introduced for the study of general Radon shape diffusions, that is, shape diffusions induced by projections of randomly rotating shapes. This is done via a convenient representation of unoriented Radon shape diffusions in (unoriented) D.G. Kendall shape space $\widetilde{\Sigma}_n^k$ through a Brownian motion on the hypersphere. This representation leads to a coordinate system for the generalized version of Radon diffusions since it is shown that shape can be essentially identified with unoriented shape in the projected case. A bijective correspondence between Brownian motion on real projective space and Radon shape diffusions is established. Furthermore, equations are derived for the general (unoriented) Radon diffusion of shape-and-size, and stationary measures are discussed.
Publisher
Cambridge University Press (CUP)
Reference23 articles.
1. [19] Rogers L. C. G. and Williams D. . Diffusions, Markov Processes and Martingales. Volume 2: Itô calculus. Cambridge Mathematical Library (Cambridge University Press, 2000).
2. The diffusion of Radon shape
3. Shape & Shape Theory
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