ABSTRACT

In Chapter 17 we showed that similarity shape analysis can be used for de-

tection of glaucomatous change from Heidelberg Retina Tomograph (HRT)

outputs. It would be nevertheless useful to have a simple geometric marker for

detection of the glaucoma onset. Such a measurement, called glaucoma index

was developed in Derado et al (2004) [82] for HRT data in animal models.

This index, which is presented in Section 24.3 was considered by glaucoma

experts (see Sanfilippo et al. (2009) [312], Hawker et al. (2007) [144]). One

of the problems is that HRT like devices are quite expensive, therefore only a

few medical cabinets have them available. For this reason, a different metho-

dology for glaucoma detection, based on inexpensive imaging technology had

to be considered as well. That methodology is developed in this chapter (also

see Crane and Patrangenaru (2011)[78]). The afferent statistical analysis is on

the projective shape space of k-ads in 3D (RP3)k−5, which has a Lie group structure (see Section 10.5).