UNCONDITIONALLY STABLE SCHEMES FOR HIGHER ORDER INPAINTING

作者:Schoenlieb Carola Bibiane; Bertozzi Andrea
来源:Communications in Mathematical Sciences, 2011, 9(2): 413-457.
DOI:10.4310/cms.2011.v9.n2.a4

摘要

Higher order equations, when applied to image inpainting, have certain advantages over second order equations, such as continuation of both edge and intensity information over larger distances. Discretizing a fourth order evolution equation with a brute force method may restrict the time steps to a size up to order Delta x(4) where Delta x denotes the step size of the spatial grid. In this work we present efficient semi-implicit schemes that are guaranteed to be unconditionally stable. We explain the main idea of these schemes and present applications in image processing for inpainting with the Cahn-Hilliard equation, TV-H-1 inpainting, and inpainting with LCIS ( low curvature image simplifiers).

  • 出版日期2011-6