Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
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")
Keita AshizawaKatsu YamataniNaoki Saito
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2007 Volume 17 Issue 3 Pages 239-257

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Abstract
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.
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© 2007 The Japan Society for Industrial and Applied Mathematics
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