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 …

Object Oriented Data Analysis is a framework that facilitates inter-disciplinary research
through new terminology for discussing the often many possible approaches to the analysis …

We propose a new approach to analyze data that naturally lie on manifolds. We focus on a
special class of manifolds, called direct product manifolds, whose intrinsic dimension could …

Computer technology is widely used for multimodal image analysis of the prostate gland.
Several techniques have been developed, most of which incorporate a priori knowledge …

State of the art cardiac computed tomography (CT) enables the acquisition of imaging data
of the heart over the entire cardiac cycle at concurrent high spatial and temporal resolution …

This article discusses a novel framework to analyze rotational deformations of real three-
dimensional objects. The rotational deformations such as twisting or bending have been …

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 …

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 …

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 …

The dissertation consists of two research topics regarding modern non-standard data
analytic situations. In particular, data under the High Dimension, Low Sample Size (HDLSS) …