The medical image analysis field has traditionally been focused on the development of
organ-, and disease-specific methods. Recently, the interest in the development of more …

The last half century has seen the development of many biological or physical t-ories that
have explicitly or implicitly involved medial descriptions of objects and other spatial entities …

The shape of a population of geometric entities is characterized by both the common
geometry of the population and the variability among instances. In the deformable model …

Shape analysis of multi-object complexes is important in many applications because it
reveals additional information of interest over single-object shape analysis. For example, in …

We consider a generic configuration of regions, consisting of a collection of distinct compact
regions $\{\Omega _i\} $ in $\mathbb {R}^{n+ 1} $ which may be either regions with smooth …

The Blum medial axis of a region with smooth boundary in [special characters omitted] is a
skeleton-like topological structure that captures shape and geometric properties of the …

A statistical issue of clinical importance is intra-patient variation from day to day. We use
these probability densities for segmentation of daily images by posterior optimization of …

We introduce a method for modeling a configuration of objects in 2D or 3D images using a
mathematical “skeletal linking structure” which will simultaneously capture the individual …

For many years we have been developing a variety of methods that together would allow
segmentation of 3D objects from medical images in a way reflecting knowledge of both the …

The estimation of shape probability distributions of anatomic structures is a major research
area in medical image analysis. The statistical shape descriptions estimated from training …