Abstract
Discrete Tchebyshev moments (DTMs), as a kind of typical discrete orthogonal moments, have been widely used in image analysis. However, the order of DTMs is restricted to an integer, and the fractional versions of DTMs have not been investigated. A novel framework for deriving fractional order DTMs (FrDTMs) by the eigen-decomposition of kernel matrices is proposed in this paper, and some properties of the proposed FrDTMs are analyzed. Two applications, i.e., image encryption and image watermarking, are investigated to validate the superiorities of the proposed FrDTMs.
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