NDLI: Essence of Two-Dimensional Principal Component Analysis and Its Generalization: Multi-dimensional PCA

Content Provider	IEEE Xplore Digital Library
Author	Caikou Chen Jingyu Yang
Copyright Year	2011
Abstract	This paper examines the connection between two-dimensional principal component analysis (2DPCA) and traditional one-dimensional principal component analysis (PCA) and theoretically reveals the reason why 2DPCA outperforms PCA. Our finding provides new insights into the computation of 2DPCA and give a new equivalent algorithm for performing 2DPCA based on row vectors of original matrices. Based on the new algorithm, we extend the existing 2DPCA algorithm to its multi-dimensional case by developing a new feature extraction technique for multi-dimensional data called multi-dimensional principal component analysis (MDPCA). Different from 2DPCA and PCA, MDPCA is based on multi-dimensional data rather than 2D image matrices or 1D vectors so the range of PCA-based applications is significantly enlarged. The experimental results also demonstrate that MDPCA can extract more effective and robust multi-dimensional image features than 2DPCA.
Starting Page	85
Ending Page	90
File Size	309389
Page Count	6
File Format	PDF
ISBN	9781457712197
DOI	10.1109/IBICA.2011.26
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-12-16
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Training Tensile stress Multi-Dimensional Principal component Analysis Feature Extraction Feature extraction Vectors Covariance matrix Face Face Recognition Principal component analysis
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
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9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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