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Kernel Hebbian algorithm for single-frame super-resolution

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Publication date2004
Host publicationStatistical Learning in Computer Vision, ECCV 2004 Workshop, Prague, Czech Republic, May 2004
EditorsA. Leonardis, H. Bischof
Place of PublicationTubingen, Germany
PublisherMax Planck Institute fur biologische Kybernetik
Number of pages15
Original languageEnglish


This paper presents a method for single-frame image superresolution using an unsupervised learning technique. The required prior knowledge about the high-resolution images is obtained from Kernel Principal Component Analysis (KPCA). The original form of KPCA, however, can be only applied to strongly restricted image classes due to the limited number of training examples that can be processed. We therefore propose a new iterative method for performing KPCA, the Kernel Hebbian Algorithm. By kernelizing the Generalized Hebbian Algorithm, one can iteratively estimate the Kernel Principal Components with only linear order memory complexity. The resulting super-resolution algorithm shows a comparable performance to the existing supervised methods on images containing faces and natural scenes.