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- W2765418996 abstract "According to the theory of wavelet analysis on [Formula: see text], the wavelet analysis on a smooth surface [Formula: see text] with nonzero constant Gaussian curvature will be discussed systematically in this paper. First, a general area-preserving projection from a smooth surface to the plane will be presented by the Gaussian projection and the area-preserving projection on the sphere. Then the continuous wavelet transform and its inverse transform on a smooth surface [Formula: see text] with nonzero constant Gaussian curvature will be discussed by a general area-preserving projection, relative dilation operator and translation operator. Further, according to the multi-resolution analysis on a smooth surface, the discrete wavelet transform and relative properties will be investigated systematically, including the two-scale equations of the wavelet function, orthogonality and so on. Finally, two numerical examples will be given." @default.
- W2765418996 created "2017-11-10" @default.
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- W2765418996 date "2018-01-01" @default.
- W2765418996 modified "2023-09-27" @default.
- W2765418996 title "Wavelet analysis on some smooth surface with nonzero constant Gaussian curvature" @default.
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- W2765418996 doi "https://doi.org/10.1142/s0219691318500078" @default.
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