Jung, Sungkyu; Dryden, Ian L.; Marron, J. S. - In: Biometrika 99 (2012) 3, pp. 551-568
A general framework for a novel non-geodesic decomposition of high-dimensional spheres or high-dimensional shape spaces for planar landmarks is discussed. The decomposition, principal nested spheres, leads to a sequence of submanifolds with decreasing intrinsic dimensions, which can be...