Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.
Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.
This paper considers a few problems in the area of bioinformatics. First the problem of comparing distributions of chromosomal shapes estimated from wild type and gene knock-out Hi-C data. For each contact data matrix, we estimate...
With the increasing popularity of information technology, especially electronic imaging techniques, large amount of high dimensional data such as 3D shapes become pervasive in science, engineering and even people's daily life, in the...
Over the past 30 years, magnetic resonance imaging has become a ubiquitous tool for accurately visualizing the change and development of the brain subcortical structures (e.g., hippocampus) across time and group. Although subcortical...
Registration often plays a critical role in many fields, including but not limited to computer vision, shape analysis, and human activity recognition. Curves and times series data usually present a sort of misalignment, and it impedes a...
Neuron morphology plays a central role in characterizing cognitive health and functionality of brain structures. The problem of quantifying neuron shapes, and capturing statistical variability of shapes, is difficult because axons and...
This dissertation includes mainly four chapters. The first chapter studies change-points in human brain functional connectivity (FC) and seek patterns that are common across multiple subjects under identical external stimulus. FC, ...
In this dissertation, we focus on the problem of analyzing high-dimensional functional data using geometric approaches. The term functional data refers to images, densities and trajectories on manifolds. The nature of these data imposes...
This research provides theoretical and computational developments in statistical shape analysis of shape graphs, and demonstrates them using analysis of complex network-type object data such as retinal blood-vessel (RBV) networks. The...
This dissertation studies statistical shape analysis of planar objects. The focus is on two different representations. The first one considers only the boundary of planar shapes, a comprehensive analysis framework including...
This dissertation contains two related parts. The first part focuses on affine lines, and the second part is about affine planes. In the first part, it develops tools for statistical analysis on spaces of affine lines. Motivated by the...
Complex analyses involving multiple, dependent random quantities often lead to graphical models – a set of nodes denoting variables of interest, and corresponding edges denoting interactions between nodes. Such graphical data emerges in...
The problem of comparisons of shape populations is present in many branches of science, including nano-manufacturing, medical imaging, particle analysis, fisheries, seed science, and computer vision. Researchers in these fields have...
Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.
