多近傍情報による予測と残差直交変換の階層化およびその画像圧縮への応用(実用,ウェーブレット,<特集>平成19年研究部連合発表会)  [in Japanese] The Method of Hierarchical Multi-neighbor Predictors and Residual Orthogonal Transformations and Its Application to Image Compression(Practice, Wavelet Analysi, Special Issue on "Joint Symposium of JSIAM Activity Groups 2007")  [in Japanese]

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Abstract

本論文では,入力画像信号のブロック境界における勾配の高精度な近似を用いて,ブロック内データを予測し,予測誤差を直交変換することによる画像圧縮アルゴリズムを提案する.以前筆者らが提案した多重調和局所コサイン変換では,隣接ブロックの直流成分の差で勾配を近似していたが,本手法ではブロック境界に近い入力信号を複合的に用いて近似するため,ブロック歪および折り返し歪が軽減され,客観的・主観的に画質が改善される.

We propose new image compression algorithms by predicting each block using an improved gradient estimation at the block boundary followed by applying an orthogonal transformation to the prediction error. Compared to the previously proposed polyharmonic local cosine transform where the DC components of adjacent blocks were used for the gradient estimation, our new methods directly use multiple combinations of the neighboring pixel values to estimate the gradients at block boundary more accurately. Hence, we can improve the prediction of each block using such gradient information. Consequently, we can improve image reconstruction quality and reduce the blocking artifact and aliasing noise.

Journal

  • Transactions of the Japan Society for Industrial and Applied Mathematics

    Transactions of the Japan Society for Industrial and Applied Mathematics 17(3), 239-257, 2007

    The Japan Society for Industrial and Applied Mathematics

References:  11

Cited by:  5

Codes

  • NII Article ID (NAID)
    110006405049
  • NII NACSIS-CAT ID (NCID)
    AN10367166
  • Text Lang
    JPN
  • Article Type
    Journal Article
  • ISSN
    09172246
  • NDL Article ID
    8962723
  • NDL Source Classification
    ZM31(科学技術--数学)
  • NDL Call No.
    Z15-727
  • Data Source
    CJP  CJPref  NDL  NII-ELS  J-STAGE 
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