Linear and Nonlinear Multiscale Filtering

  • Jean Michel Morel
  • Sergio Solimini
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 14)


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.


Heat Equation Anisotropic Diffusion Multiscale Analysis Curvature Motion Scale Space Theory 
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Copyright information

© Birkhäuser Boston 1995

Authors and Affiliations

  • Jean Michel Morel
    • 1
  • Sergio Solimini
    • 2
  1. 1.CEREMADEUniversité Paris-DauphineParis Cedex 16France
  2. 2.Srada provinciale Lecce-ArnesanoUniversità degli Studi di LecceLecceItaly

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