Multiresolution spatial partitioning for shape representation

An original solution for shape representation is proposed which relies on a spatial partitioning approach. The representation selects a discrete set of reference points with respect to which a relationship matrix is computed, accounting for the spatial distribution of shape pixels. This is accomplished at different levels of resolution by a tree based representation. Depending on the number of points, coarse to fine region and boundary shape information are captured. Properties of the representation are discussed and assessed through an experimental evaluation on a set of sample shapes.