Shocks and other nonlinear filtering applied to image processing

Stanley Osher; Lenny I. Rudin

doi:10.1117/12.50835

1 December 1991 Shocks and other nonlinear filtering applied to image processing

Stanley Osher, Lenny I. Rudin

Proceedings Volume 1567, Applications of Digital Image Processing XIV; (1991) https://doi.org/10.1117/12.50835
Event: San Diego, '91, 1991, San Diego, CA, United States

Abstract

Two new filters for image enhancement are developed, extending the early work of the authors. One filter uses a new nonlinear time dependent partial differential equation and its discretization, the second uses a discretization which constrains the backwards heat equation and keeps it variation bounded. The evolution of the initial image as t increases through U(x,y,t) is the filtering process. The processed image is piecewise smooth, nonoscillatory and apparently an accurate reconstruction. The algorithms are fast and easy to program.

Citation Download Citation

Stanley Osher and Lenny I. Rudin "Shocks and other nonlinear filtering applied to image processing", Proc. SPIE 1567, Applications of Digital Image Processing XIV, (1 December 1991); https://doi.org/10.1117/12.50835

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