ABSTRACT
In this chapter, we are concerned with a landmark based nonparametric ana-
lysis of similarity shape data. For landmark based shape data, one considers a
k-ad x = (x1, . . . ,xk) ∈ (Rm)k, which consists of k labeled points in Rm that represent coordinates of landmarks (see Chapter 1). Each landmark represents a
location on an object having a certain significance, which may have a geomet-
ric or anatomical meaning. The landmark coordinates, themselves, are of no
interest in shape analysis, as they depend on the position of the object relative
to the device, such as a digital camera, that recorded the data.
