| Characterization of Image Space of DOG Wavelet Transform |
| Received:October 21, 2005 Revised:July 03, 2006 |
| Key Words:
wavelet transform reproducing kernel reproducing kernel Hilbert space.
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| Fund Project:the National Natural Science Foundation of China (10571037); Heilongjiang Education Foundation (1054G010); the Scientific Research Foundation of Heilongjiang Provincial Education Department (11521292) and the Scientific Research Foundation of Jiamusi Univ |
| Author Name | Affiliation | | HAN Hong | Applied Science College, Harbin University Science Technology, Heilongjiang 150080, China
Department of Mathematics, Jiamusi University, Heilongjiang 154007, China | | DENG Cai-xia | Applied Science College, Harbin University Science Technology, Heilongjiang 150080, China | | DENG Zhong-xing | Applied Science College, Harbin University Science Technology, Heilongjiang 150080, China |
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| Abstract: |
| In this paper, we introduce the reproducing kernel function and the isometrical identity of the image space of DOG wavelet transform. A concrete characterization of the image space of DOG wavelet transform is given by the construction of the reproducing kernel function. This offers a intuitionistic and profound understanding of the formation of image space. This provides the basis for discussing the image space of general wavelet transform and the theoretic basis for the practical application of DOG wavelet transform. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.04.048 |
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