A fusion of principal component analysis and singular value decomposition based multivariate denoising algorithm for free induction decay transversal data

2019 ◽  
Vol 90 (3) ◽  
pp. 035116 ◽  
Author(s):  
Huan Liu ◽  
Haobin Dong ◽  
Jian Ge ◽  
Zheng Liu ◽  
Zhiwen Yuan ◽  
...  
Keyword(s):  
Principal Component Analysis ◽  
Singular Value Decomposition ◽  
Free Induction Decay ◽  
Principal Component ◽  
Component Analysis ◽  
Singular Value ◽  
Free Induction ◽  
Value Decomposition

scholarly journals Dimensionality Reduction of Dynamic Mesh Animations Using HO-SVD

2013 ◽  
Vol 3 (4) ◽  
pp. 277-289 ◽  
Author(s):  
Michał Romaszewski ◽  
Piotr Gawron ◽  
Sebastian Opozda
Keyword(s):  
Principal Component Analysis ◽  
Singular Value Decomposition ◽  
Dimensionality Reduction ◽  
Principal Component ◽  
Component Analysis ◽  
Higher Order ◽  
Singular Value ◽  
3D Mesh ◽  
Reduction Of Dimensionality ◽  
Value Decomposition

Abstract This work presents an analysis of Higher Order Singular Value Decomposition (HOSVD) applied to reduction of dimensionality of 3D mesh animations. Compression error is measured using three metrics (MSE, Hausdorff, MSDM). Results are compared with a method based on Principal Component Analysis (PCA) and presented on a set of animations with typical mesh deformations.

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