Shocks and other nonlinear filtering applied to image processing

Details Shocks and other nonlinear filtering applied to image processing Shocks and other nonlinear filtering applied to image processing

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991spie.1567..414o&link_type=abstract

Proc. SPIE Vol. 1567, p. 414-431, Applications of Digital Image Processing XIV, Andrew G. Tescher; Ed.

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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.

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