Computer image processing with application to chemical engineering

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.