Scale in images
Gabriel Cristóbal, Leon W. Cohen · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1996
The scale transform has been recently proposed and applied to 1D signals in applications such as speech processing, biological signals and machine vibration analysis. The purpose of this paper is to investigate how the concept of scale can be extended for multidimensional signals, and in particular in the case of images. A first example of denoising in the scale domain in comparison with Fourier filtering is presented. The importance of magnitude and phase of the scale transform is also discussed in the context of the Fourier transform. It is shown that scaling operators permit the analysis of the local frequency contents of an image at different resolutions.