MR‐based spatiotemporal anisotropic atrophy evaluation of hippocampus in Alzheimer's disease progression by multiscale skeletal representation

N Gao, Z Liu, Y Deng, H Chen, C Ye… - Human Brain …, 2023 - Wiley Online Library
Increasing evidence has shown a higher sensitivity of Alzheimer's disease (AD) progression
by local hippocampal atrophy rather than the whole volume. However, existing …

Skeletons, object shape, statistics

SM Pizer, JS Marron, JN Damon, J Vicory… - Frontiers in computer …, 2022 - frontiersin.org
Objects and object complexes in 3D, as well as those in 2D, have many possible
representations. Among them skeletal representations have special advantages and some …

Fitting unbranching skeletal structures to objects

Z Liu, J Hong, J Vicory, JN Damon, SM Pizer - Medical image analysis, 2021 - Elsevier
Representing an object by a skeletal structure can be powerful for statistical shape analysis
if there is good correspondence of the representations within a population. Many anatomic …

Scaled torus principal component analysis

P Zoubouloglou, E García-Portugués… - … of Computational and …, 2023 - Taylor & Francis
A particularly challenging context for dimensionality reduction is multivariate circular data,
that is, data supported on a torus. Such kind of data appears, for example, in the analysis of …

[图书][B] Object oriented data analysis

JS Marron, IL Dryden - 2021 - taylorfrancis.com
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 …

Geometric and statistical models for analysis of two-object complexes

Z Liu, J Damon, JS Marron, S Pizer - International Journal of Computer …, 2023 - Springer
Correlated shape features involving nearby objects often contain important anatomic
information. However, it is difficult to capture shape information within and between objects …

Morphometric change in intervertebral foramen after percutaneous endoscopic lumbar foraminotomy: an in vivo radiographic study based on three-dimensional …

T Wang, L Wang, L Zang, G Wang, W Peng… - International …, 2023 - Springer
Purpose This study aimed to perform in vivo three-dimensional (3D) quantitative
measurements of morphometric changes in the foramen in patients with lumbar foraminal …

Statistical shape analysis of the tricuspid valve in hypoplastic left heart syndrome

J Vicory, C Herz, D Allemang, HH Nam… - … Workshop on Statistical …, 2021 - Springer
Hypoplastic left heart syndrome (HLHS) is a congenital heart disease characterized by
incomplete development of the left heart. Children with HLHS undergo a series of operations …

[HTML][HTML] De Casteljau's algorithm in geometric data analysis: Theory and application

M Hanik, E Nava-Yazdani, C von Tycowicz - Computer Aided Geometric …, 2024 - Elsevier
For decades, de Casteljau's algorithm has been used as a fundamental building block in
curve and surface design and has found a wide range of applications in fields such as …

Analysis of joint shape variation from multi-object complexes

Z Liu, J Schulz, M Taheri, M Styner, J Damon… - Journal of Mathematical …, 2023 - Springer
Shape correlation of multi-object complexes in the human body can have significant
implications in understanding the development of disease. While there exist geometric and …