Kim, Seongjai Image denoising via diffusion modulation. (English) Zbl 1103.35334 Int. J. Pure Appl. Math. 30, No. 1, 71-92 (2006). Summary: This article studies the method of diffusion modulation, a reformulation of conventional partial differential equation (PDE)-based restoration models. The reformulated models consist of three explicit components: the diffusion operator, the modulator, and the constraint term. Strategies are suggested for their appropriate choices. In particular, the equalized net diffusion (END) and an edge-adaptive constraint term are introduced in order to successfully restore not only fine structures but also slow transitions. The new reformulated models are highly nonlinear; a linearized numerical procedure is suggested and the resulting algorithm is analyzed for stability. The reformulation has proved to outperform conventional PDE-based models in both quality and efficiency. Cited in 1 Document MSC: 35K55 Nonlinear parabolic equations 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs Keywords:variational approach; edge-adaptive constraint term; PDE-based image restoration; equalized net diffusion; linearized numerical procedure PDFBibTeX XMLCite \textit{S. Kim}, Int. J. Pure Appl. Math. 30, No. 1, 71--92 (2006; Zbl 1103.35334)