Multi-resolutional shape features via non-Euclidean wavelets: Applications to statistical analysis of cortical thickness

WH Kim, V Singh, MK Chung, C Hinrichs, D Pachauri… - NeuroImage, 2014 - Elsevier
Statistical analysis on arbitrary surface meshes such as the cortical surface is an important
approach to understanding brain diseases such as Alzheimer's disease (AD). Surface …

Wavelet based multi-scale shape features on arbitrary surfaces for cortical thickness discrimination

W Kim, D Pachauri, C Hatt, M Chung… - Advances in neural …, 2012 - proceedings.neurips.cc
Hypothesis testing on signals defined on surfaces (such as the cortical surface) is a
fundamental component of a variety of studies in Neuroscience. The goal here is to identify …

Detection of focal changes in human cortical thickness: spherical wavelets versus Gaussian smoothing

JL Bernal-Rusiel, M Atienza, JL Cantero - NeuroImage, 2008 - Elsevier
Subtle but progressive variations in human cortical thickness have been associated with the
initial phases of prevalent neurological and psychiatric conditions. But slight changes in …

LESA: Longitudinal elastic shape analysis of brain subcortical structures

Z Zhang, Y Wu, D Xiong, JG Ibrahim… - Journal of the …, 2023 - Taylor & Francis
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 (eg …

Multi-resolution shape analysis via non-euclidean wavelets: Applications to mesh segmentation and surface alignment problems

W Hwa Kim, MK Chung, V Singh - Proceedings of the IEEE …, 2013 - cv-foundation.org
The analysis of 3-D shape meshes is a fundamental problem in computer vision, graphics,
and medical imaging. Frequently, the needs of the application require that our analysis take …

Topology-based kernels with application to inference problems in Alzheimer's disease

D Pachauri, C Hinrichs, MK Chung… - IEEE transactions on …, 2011 - ieeexplore.ieee.org
Alzheimer's disease (AD) research has recently witnessed a great deal of activity focused on
developing new statistical learning tools for automated inference using imaging data. The …

Wavelet-based representation of biological shapes

B Dong, Y Mao, ID Dinov, Z Tu, Y Shi, Y Wang… - Advances in Visual …, 2009 - Springer
Modeling, characterization and analysis of biological shapes and forms are important in
many computational biology studies. Shape representation challenges span the spectrum …

Cortical surface shape analysis based on spherical wavelet transformation

P Yu, X Han, F Ségonne, R Pienaar… - 2006 Conference on …, 2006 - ieeexplore.ieee.org
Shape analysis of neuroanatomical structures has proven useful in the study of
neuropathology and neurodevelopment. Advances in medical imaging have made it …

Spectral Laplace-Beltrami wavelets with applications in medical images

M Tan, A Qiu - IEEE transactions on medical imaging, 2014 - ieeexplore.ieee.org
The spectral graph wavelet transform (SGWT) has recently been developed to compute
wavelet transforms of functions defined on non-Euclidean spaces such as graphs. By …

A heat kernel based cortical thickness estimation algorithm

G Wang, X Zhang, Q Su, J Chen, L Wang, Y Ma… - Multimodal Brain Image …, 2013 - Springer
Cortical thickness estimation in magnetic resonance imaging (MRI) is an important
technique for research on brain development and neurodegenerative diseases. This paper …