Statistics with a human face: surfaces, shapes and anatomy
Adrian Bowman (University of Glasgow)
Monday 6th October, 2014 16:00-17:00 Maths 326
Three-dimensional surface imaging, through laser-scanning or
stereo-photogrammetry, provides high-resolution data defining the
surface shape of objects. In an anatomical setting this can provide
invaluable quantitative information, for example on the success
of surgery. Two particular applications are in the success of
breast reconstruction and in facial surgery following conditions
such as cleft lip and palate. An initial challenge is to extract
suitable information from these images, to characterise the surface
shape in an informative manner. Landmarks are traditionally used
to good effect but these clearly do not adequately represent the
very much richer information present in each digitised images.
Curves with clear anatomical meaning provide a good compromise
between informative representations of shape and simplicity of
structure, as well as providing guiding information for full surface
representations. Some of the issues involved in analysing data of
this type will be discussed and illustrated. Modelling issues include
the measurement of asymmetry and longitudinal patterns of growth.
This is a talk which involves some very interesting problems and
statistical models. It also has geometry and topology at its heart.
The current methods there are undoubtedly (embarrassingly?) naive
but I’m hoping others will be able to advise on how to do this better!