Image enhancement with symmetric Daubechies wavelets

Jean‐Marc Lina, Langis Gagnon · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1995

It is shown that analyses based on Symmetric Daubechies Wavelets (SDW) lead to a multiresolution form of the Laplacian operator. This property, which is related to the complex values of the SDWs, gives a way to new methods of image enhancement applications. After a brief recall of the construction and main properties of the SDW, we propose a representation of the sharpening operator at different scales and we discuss the `importance of the phase' of the complex wavelet coefficients.

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