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Zbl 0804.65130
Alvarez, Luis; Mazorra, Luis
Signal and image restoration using shock filters and anisotropic diffusion. (English)
[J] SIAM J. Numer. Anal. 31, No.2, 590-605 (1994). ISSN 0036-1429; ISSN 1095-7170/e

Summary: The authors define a new class of filters for noise elimination and edge enhancement by using shock filters and anisotropic diffusion. Some nonlinear partial differential equations used as models for these filters are studied. The authors develop recursive and unconditional stable schemes which drastically reduce the computational effort of the algorithms. A new fast recursive approach to linear Gaussian filters is also shown by using the heat equation.

MSC 2000:: *65Z05 Applications to physics
65M06 Finite difference methods (IVP of PDE)
35Q80 Appl. of PDE in areas other than physics
35L67 Shocks, etc.
94A12 Signal theory

Keywords: image restoration; deconvolution; edge enhancement; shock filters; anisotropic diffusion

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