This article reviews various statistical methods that are available for the analysis of the shapes of images or objects. Statistical shape analysis is too large a topic to be reviewed in full. So, this review concentrates on shape analysis by means of landmarks, and in particular on the representation of landmark shapes on manifolds that was proposed by D. G. Kendall. The use of Kendall shape analysis on landmarks is briefly contrasted with alternative ways of representing and analyzing shapes. WIREs Comp Stat 2011 3 428–433 DOI: 10.1002/wics.173
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