Paper Info

Title | ||
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Avoidance of Singular Point in Integer Orthonormal Transform for Lossless Coding |

Abstract | ||
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In this correspondence, the singular point (SP) problem peculiar to an integer orthonormal transform is discussed, and compatibility of the integer transform with the corresponding real-valued transform is improved. To avoid the SP problem, we introduce two-point permutations of order and sign of signals. Since it satisfies the commutative law, it becomes possible to reduce computational cost to find the best combination of the permutations which minimizes errors due to rounding of signals inside the integer transform. |

Year | DOI | Venue |
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2012 | 10.1109/TSP.2012.2187289 | IEEE Transactions on Signal Processing |

Keywords | Field | DocType |

image reconstruction,discrete cosine transform,singular point,color,encoding,satisfiability,psnr,signal processing,commutative law,coding | Integer,Discrete mathematics,Singular point of a curve,Nearest integer function,Mathematical optimization,Combinatorics,Rounding,Orthonormal basis,Fractional Fourier transform,S transform,Mathematics,Wavelet transform | Journal |

Volume | Issue | ISSN |

60 | 5 | 1053-587X |

Citations | PageRank | References |

2 | 0.38 | 7 |

Authors | ||

3 |

Authors (3 rows)

Cited by (2 rows)

References (7 rows)

Name | Order | Citations | PageRank |
---|---|---|---|

Masahiro Iwahashi | 1 | 224 | 42.55 |

Masanori Ogawa | 2 | 2 | 0.38 |

Hitoshi Kiya | 3 | 616 | 113.80 |