Linear and Nonlinear Multiscale Filtering

Jean‐Michel Morel, Sergio Solimini · Birkhäuser Boston eBooks · 1995

In this chapter, we analyse the main theories of image multiscale filtering (and subsequent multiscale edge detection). The main point of the doctrine is that “edge detection” is a kind of differentiation; now, the image must be filtered (and smoothed) before differentiation. Thus “edge detection” becomes multiscale, like the filtering, and any edge detection theory is directly deduced from a multiscale filtering theory. We show how variational formulations are naturally associated with the main multiscale filtering theories. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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