Research on Equivalence of SVD and PCA in Medical Image Tilt Correction
DOI:
10.3993/jfbim00132
Journal of Fiber Bioengineering & Informatics, 8 (2015), pp. 453-460.
Published online: 2015-08
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@Article{JFBI-8-453,
author = {Meisen Pan and Fen Zhang},
title = {Research on Equivalence of SVD and PCA in Medical Image Tilt Correction},
journal = {Journal of Fiber Bioengineering and Informatics},
year = {2015},
volume = {8},
number = {3},
pages = {453--460},
abstract = {In the process of medical imaging, often because of some disturbance, the medical images frequently
have some undesirable tilt, which has costly negative effect on the following image alignment and fusion.
In order to solve the tilt problem, Singular Value Decomposition (SVD) and Principal Component
Analysis (PCA) are studied and their relationship between them is discussed, and then the medical
image correction tilt process is divided into five main stages. Among these stages, the key tasks focus on
finding the centroid and obtaining the tilt angle of a medical image. We use SVD and PCA to compute
the eigenvectors of the coordinates of a medical image respectively to get the tilt angle. The experimental
results reveal that the methods mentioned above are effective for correcting the tilt medical images and
also prove the equivalence of SVD and PCA in medical image tilt correction.},
issn = {2617-8699},
doi = {https://doi.org/10.3993/jfbim00132},
url = {http://global-sci.org/intro/article_detail/jfbi/4726.html}
}
TY - JOUR
T1 - Research on Equivalence of SVD and PCA in Medical Image Tilt Correction
AU - Meisen Pan & Fen Zhang
JO - Journal of Fiber Bioengineering and Informatics
VL - 3
SP - 453
EP - 460
PY - 2015
DA - 2015/08
SN - 8
DO - http://doi.org/10.3993/jfbim00132
UR - https://global-sci.org/intro/article_detail/jfbi/4726.html
KW - Equivalence
KW - SVD
KW - PCA
KW - Tilt Correction
AB - In the process of medical imaging, often because of some disturbance, the medical images frequently
have some undesirable tilt, which has costly negative effect on the following image alignment and fusion.
In order to solve the tilt problem, Singular Value Decomposition (SVD) and Principal Component
Analysis (PCA) are studied and their relationship between them is discussed, and then the medical
image correction tilt process is divided into five main stages. Among these stages, the key tasks focus on
finding the centroid and obtaining the tilt angle of a medical image. We use SVD and PCA to compute
the eigenvectors of the coordinates of a medical image respectively to get the tilt angle. The experimental
results reveal that the methods mentioned above are effective for correcting the tilt medical images and
also prove the equivalence of SVD and PCA in medical image tilt correction.
Meisen Pan and Fen Zhang. (2015). Research on Equivalence of SVD and PCA in Medical Image Tilt Correction.
Journal of Fiber Bioengineering and Informatics. 8 (3).
453-460.
doi:10.3993/jfbim00132
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