A literature survey covers a wide range
of picture processing topics from the general problem of
manipulating digitised images to the specific task
of analysing the shape of objects within an image
field. There follows a discussion and development
of theory relating to this latter task. A number
of shape analysis techniques are inapplicable or
computationally untenable when applied to objects
containing concavities. A method is proposed and
implemented whereby any object may be divided into
convex components the algebraic sum of which
constitute the original. These components may
be related by a tree structure.
It is observed that properties based on
integral measurements, e.g. area, are less
susceptible to quantisation errors than those based
on linear and derivative measurements such as
diameters anti slopes. A set of moments invariant
with respect to size, position and orientation
are derived and applied to the study of the above
convex components. An outline of possible further
developments is given.
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.