Curve Evolution, Differential Morphology, and Distance Transforms Applied to Multiscale and Eikonal Problems

2000 ◽  
Vol 41 (1,2) ◽  
pp. 91-129 ◽  
Author(s):  
Petros Maragos ◽  
Muhammad Akmal Butt
Keyword(s):  
Curve Evolution ◽  
Distance Transforms

Distance transforms in 3D using four different weights

2002 ◽  
Vol 23 (12) ◽  
pp. 1407-1418 ◽  
Author(s):  
Stina Svensson ◽  
Gunilla Borgefors
Keyword(s):  
Distance Transforms

Hippocampus segmentation and classification for dementia analysis using pre-trained neural network models

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ahana Priyanka ◽  
Kavitha Ganesan
Keyword(s):  
Cognitive Impairment ◽  
Mild Cognitive Impairment ◽  
Network Models ◽  
Curve Evolution ◽  
Neural Network Models ◽  
Brain Images ◽  
Whole Brain ◽  
Shape Constraint ◽  
Mr Brain Images ◽  
Trained Neural Network

Abstract The diagnostic and clinical overlap of early mild cognitive impairment (EMCI), mild cognitive impairment (MCI), late mild cognitive impairment (LMCI) and Alzheimer disease (AD) is a vital oncological issue in dementia disorder. This study is designed to examine Whole brain (WB), grey matter (GM) and Hippocampus (HC) morphological variation and identify the prominent biomarkers in MR brain images of demented subjects to understand the severity progression. Curve evolution based on shape constraint is carried out to segment the complex brain structure such as HC and GM. Pre-trained models are used to observe the severity variation in these regions. This work is evaluated on ADNI database. The outcome of the proposed work shows that curve evolution method could segment HC and GM regions with better correlation. Pre-trained models are able to show significant severity difference among WB, GM and HC regions for the considered classes. Further, prominent variation is observed between AD vs. EMCI, AD vs. MCI and AD vs. LMCI in the whole brain, GM and HC. It is concluded that AlexNet model for HC region result in better classification for AD vs. EMCI, AD vs. MCI and AD vs. LMCI with an accuracy of 93, 78.3 and 91% respectively.

scholarly journals Distance transforms in multi channel MR image registration

2011 ◽  
Author(s):  
Min Chen ◽  
Aaron Carass ◽  
John Bogovic ◽  
Pierre-Louis Bazin ◽  
Jerry L. Prince
Keyword(s):  
Image Registration ◽  
Mr Image ◽  
Distance Transforms

Acoustic emission source location in composite structure by Voronoi construction using geodesic curve evolution

2009 ◽  
Vol 126 (5) ◽  
pp. 2324-2330 ◽  
Author(s):  
R. Gangadharan ◽  
G. Prasanna ◽  
M. R. Bhat ◽  
C. R. L. Murthy ◽  
S. Gopalakrishnan
Keyword(s):  
Acoustic Emission ◽  
Composite Structure ◽  
Source Location ◽  
Emission Source ◽  
Curve Evolution ◽  
Geodesic Curve ◽  
Acoustic Emission Source

Weighted Distance Transforms: A Characterization

1988 ◽  
pp. 205-211 ◽  
Author(s):  
Carlo Arcelli ◽  
Gabriella Sanniti di Baja
Keyword(s):  
Weighted Distance ◽  
Distance Transforms

scholarly journals Null Curve Evolution in Four-Dimensional Pseudo-Euclidean Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-15 ◽  
Author(s):  
José del Amor ◽  
Ángel Giménez ◽  
Pascual Lucas
Keyword(s):  
Vector Fields ◽  
Evolution Equations ◽  
Space Form ◽  
Curve Evolution ◽  
Lie Bracket ◽  
Null Curve ◽  
Induction Equation ◽  
Null Curves ◽  
Local Vector ◽  
Local Symmetries

We define a Lie bracket on a certain set of local vector fields along a null curve in a 4-dimensional semi-Riemannian space form. This Lie bracket will be employed to study integrability properties of evolution equations for null curves in a pseudo-Euclidean space. In particular, a geometric recursion operator generating infinitely many local symmetries for the null localized induction equation is provided.

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