Shape Analysis of Volume Models by Euclidean Distance Transform and Moment Invariants

In this paper, volume models are obtained from closed surface models by an accurate voxelization method which can handle the hidden cavities. This kind of 3D binary images is then converted to gray-level images by a fast Euclidean distance transform (EDT). Moment invariants (Mis) which are invariant shape descriptors under similarity transformations, are then computed based on the gray images. Applications in shape analysis area such as principal axis determination, skeleton and medial axis extraction, and shape retrieval can be carried out base on EDT and Mis.