ABSTRACT

In this chapter, the problem of identifying the projective shape of a planar

curve is considered as a practical application of the neighborhood hypothe-

sis test presented in Chapter 11, a data-driven example where we determine

δ , the smallest radius of the neighborhood hypothesis for which the neighborhood hypothesis is not rejected. The theory is applied to the recognition of the

projective shape of a planar curve extracted from digital images of a flat scene.

21.2 Hilbert Space Representations of Projective Shapes of Planar