Signal Reconstruction by Projection Filter with Preservation of Preferential Components

  • Akira Hirabayashi
  • Takeshi Naito
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4253)


Signal reconstruction is one of the knowledge extration problems. Especially in this problem, knowledge means underlying signal or image, which is extracted from the downsampled one. In this paper, we propose a novel reconstruction filter which perfectly reconstructs predetermined preferential components, and makes a reconstructed sigal/image agree with the oblique projection of an original one. It enables us to get rid of artifacts which arise in reconstructed signals by the conventional partial projection filter when the number of samples is small compared with the dimension of the approximation subspace. By simulations, we show that the proposed filter performs better than the conventional methods.


Original Image Reconstructed Image Closed Subspace Sampling Function Oblique Projection 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Akira Hirabayashi
    • 1
  • Takeshi Naito
    • 2
  1. 1.Yamaguchi UniversityUbe YamaguchiJapan
  2. 2.Omron CorporationSocial Systems Solutions Business CompanyKusatsuJapan

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