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M-ary phase modulation for digital watermarking

Yongqing Xin;  Mirosław Pawlak — 2008

International Journal of Applied Mathematics and Computer Science

In spread spectrum based watermarking schemes, it is a challenging task to embed multiple bits of information into the host signal. M-ary modulation has been proposed as an effective approach to multibit watermarking. It has been proved that an M-ary modulation based watermarking system outperforms significantly a binary modulation based watermarking system. However, in the existing M-ary modulation based algorithms, the value of M is restricted to be less than 256, because as M increases, the computation...

Nonlinear image processing and filtering: A unified approach based on vertically weighted regression

Ewaryst Rafajłowicz;  Mirosław Pawlak;  Angsar Steland — 2008

International Journal of Applied Mathematics and Computer Science

A class of nonparametric smoothing kernel methods for image processing and filtering that possess edge-preserving properties is examined. The proposed approach is a nonlinearly modified version of the classical nonparametric regression estimates utilizing the concept of vertical weighting. The method unifies a number of known nonlinear image filtering and denoising algorithms such as bilateral and steering kernel filters. It is shown that vertically weighted filters can be realized by a structure...

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