{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,22]],"date-time":"2025-11-22T10:52:06Z","timestamp":1763808726061},"reference-count":21,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Image Grap."],"published-print":{"date-parts":[[2008,1]]},"abstract":"<jats:p> Recently proposed matrix-based methods, two-dimensional Principal Component Analysis (2DPCA), two-dimensional Linear Discriminant Analysis (2DLDA) and two-dimensional Locality Preserving Projections (2DLPP) have been shown to be effective ways to avoid the problems of high dimensionality and small sample sizes that are associated with vector-based methods. In this paper, we propose a general theoretical framework for matrix-based feature extraction algorithms from the point of view of graph embedding. Our framework can be applied to extend two recently proposed vector-based algorithms, i.e. Unsupervised Discriminant Projection (UDP) and Marginal Fisher Analysis (MFA) algorithms, to their matrix-based versions. Further, our framework can also be used as a platform to generate new matrix-based feature extraction algorithms by designing meaningful graphs, e.g. two-dimensional Discriminant Embedding Analysis (2DDEA) in this paper. It is shown that 2DLDA is actually a special case of the 2DDEA method. Experiments on three publicly available image databases demonstrate the effectiveness of the proposed algorithm. Our results fit into the scene for a better picture about the matrix-based feature extraction algorithms. <\/jats:p>","DOI":"10.1142\/s0219467808002940","type":"journal-article","created":{"date-parts":[[2008,1,9]],"date-time":"2008-01-09T10:34:31Z","timestamp":1199874871000},"page":"1-23","source":"Crossref","is-referenced-by-count":8,"title":["A THEORETICAL FRAMEWORK FOR MATRIX-BASED FEATURE EXTRACTION ALGORITHMS WITH ITS APPLICATION TO IMAGE RECOGNITION"],"prefix":"10.1142","volume":"08","author":[{"given":"GUIYU","family":"FENG","sequence":"first","affiliation":[{"name":"Department of Automatic Control, College of Mechatronics and Automation, National University of Defense Technology, Changsha, Hunan, 410073, PR China"}]},{"given":"DAVID","family":"ZHANG","sequence":"additional","affiliation":[{"name":"Department of Computing, Hong Kong Polytechnic University, Kowloon, Hong Kong, PR China"}]},{"given":"JIAN","family":"YANG","sequence":"additional","affiliation":[{"name":"Department of Computing, Hong Kong Polytechnic University, Kowloon, Hong Kong, PR China"}]},{"given":"DEWEN","family":"HU","sequence":"additional","affiliation":[{"name":"Department of Automatic Control, College of Mechatronics and Automation, National University of Defense Technology, Changsha, Hunan, 410073, PR China"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1162\/jocn.1991.3.1.71"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/34.598228"},{"key":"rf4","first-page":"328","volume":"27","author":"He X.","journal-title":"IEEE Trans. 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