General Frame Multiresolution Analysis and Its Wavelet Frame Representation
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概要
- 論文の詳細を見る
We propose a theory of general frame multiresolution analysis (GFMRA) which generalizes both the theory of multiresolution analysis based on an affine orthonormal basis and the theory of frame multiresolution analysis based on an affine frame to a general frame. We also discuss the problem of perfectly representing a function by using a wavelet frame which is not limited to being of affine type. We call it a "generalized affine wavelet frame." We then characterize the GFMRA and provide the necessary and sufficient conditions for the existence of a generalized affine wavelet frame.
- 社団法人電子情報通信学会の論文
- 1996-10-25
著者
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Ogawa H
Tokyo Inst. Technol. Tokyo Jpn
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Ogawa Hidemitsu
The Department Of Computer Science Tokyo Institute Of Technology
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LI Mang
the Department of Computer Science, Tokyo Institute of Technology
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YAMASHITA Yukihiko
the Department of Computer Science, Tokyo Institute of Technology
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Li Mang
Department Of Information Engineering Faculty Of Engineering Niigata University:(present Address)nih
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Yamashita Y
Tokyo Inst. Technol. Tokyo Jpn
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