The Diffusion of Radon Shape∗

  title={The Diffusion of Radon Shape∗},
  author={Victor M. Panaretos},
Almost thirty years ago, D.G. Kendall [8] considered diffusions of shape induced by independent Brownian motions in Euclidean space. In this paper, we consider a different class of diffusions of shape, induced by the projections of a randomly rotating labelled ensemble. In particular, we study diffusions of shapes induced by projections of planar triangular configurations of labelled points onto a fixed straight line. That is, we consider the process in Σ1 (the shape space of labelled triads in… CONTINUE READING