Shape Analysis of Functional Data With Elastic Partial Matching

Elastic Riemannian metrics have been used successfully for statistical treatments of functional and curve shape data. However, this usage suffers from a significant restriction: the function bounda…

LESA: Longitudinal Elastic Shape Analysis of Brain Subcortical Structures

Over the past 30 years, magnetic resonance imaging has become a ubiquitous tool for accurately visualizing the change and development of the brain’s subcortical structures (e.g., hippocampus). Al…

Data Science for Motion and Time Analysis with Modern Motion Sensor Data

The analysis of motion and time has become significant in operations research, especially for analyzing work performance in manufacturing and service operations in the development of lean manufactu…

Modality-Constrained Density Estimation via Deformable Templates

Estimation of a probability density function (pdf) from its samples, while satisfying certain shape constraints, is an important problem that lacks coverage in the literature. This article introduc…

Phase-Amplitude Separation and Modeling of Spherical Trajectories

Statistical modeling of curves using shapes and related features

Gauge Invariant Framework for Shape Analysis of Surfaces

Spherical regression models using projective linear transformations

2D Affine and Projective Shape Analysis

3D Face Recognition under Expressions Occlusions, and Pose Variations