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 …

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 …

Wavelets, statistics, and biomedical applications

M Unser - Proceedings of 8th Workshop on Statistical Signal …, 1996 - ieeexplore.ieee.org
This paper emphasizes the statistical properties of the wavelet transform (WT) and discusses
some examples of applications in medicine and biology. The redundant forms of the …

A review of wavelets in biomedical applications

M Unser, A Aldroubi - Proceedings of the IEEE, 1996 - ieeexplore.ieee.org
We present an overview of the various uses of the wavelet transform (WT) in medicine and
biology. We start by describing the wavelet properties that are the most important for …

Applications of wavelets in morphometric analysis of medical images

C Davatzikos, X Tao, D Shen - Wavelets: Applications in …, 2003 - spiedigitallibrary.org
Morphometric analysis of medical images is playing an increasingly important role in
understanding brain structure and function, as well as in understanding the way in which …

WaveletBrain: Characterization of human brain via spectral graph wavelets

M Masoumi, M Toews, H Lombaert - arXiv preprint arXiv:1906.06158, 2019 - arxiv.org
Early diagnosis of Alzheimer's disease plays a key role in understanding the degree of the
patient's mental decline and determining preventive therapies. In this study, we introduce …

Spectral signatures of point clouds and applications to detection of alzheimer's disease through neuroimaging

J Bates, D Pafundi, P Kanel, X Liu… - 2011 IEEE International …, 2011 - ieeexplore.ieee.org
We introduce a class of spectral shape signatures constructed from symmetric functions on
the eigenfunctions of the Laplacian exponentially weighted by their eigenvalues. Such a …

Global spectral graph wavelet signature for surface analysis of carpal bones

M Masoumi, M Rezaei, AB Hamza - Physics in Medicine & …, 2018 - iopscience.iop.org
Quantitative shape comparison is a fundamental problem in computer vision, geometry
processing and medical imaging. In this paper, we present a spectral graph wavelet …

Multiresolution analysis for early diagnosis of Alzheimer's disease

G Jacques, JL Frymiare, J Kounios… - The 26th Annual …, 2004 - ieeexplore.ieee.org
Early diagnosis of Alzheimer's disease is a major concern due to large portions of the elderly
population it affects and the lack of a standard and effective diagnosis procedure that is …

Laplace-Beltrami eigenfunction expansion of cortical manifolds

S Seo, MK Chung - … on Biomedical Imaging: From Nano to …, 2011 - ieeexplore.ieee.org
We represent a shape representation technique using the eigenfunctions of Laplace-
Beltrami (LB) operator and compare the performance with the conventional spherical …