Title :
Stable Image Enhancement by Adaptive Damped Wave Equation with Force Term
Author :
Ratner, Vadim ; Zeevi, Yehoshua Y.
Author_Institution :
Electr. Eng. Dept., Technion - Israel Inst. of Technol., Haifa, Israel
fDate :
Nov. 28 2011-Dec. 1 2011
Abstract :
The recently-proposed family of Forward-and-Backward (FAB) Telegraph-Diffusion (TeD) equations [5] are analyzed in the context of enhancement image processing schemes. Stability of such schemes is investigated in terms of energy convergence. A more stable approximated version of the enhancement operator is proposed and examined. This new scheme is implemented in both stable and unstable regimes of the original FAB-TeD operator and shown to yield similar results to those obtained by the latter, without losing stability. The theoretical conclusions regarding stability of the approximated FAB-TeD are reinforced by simulations, exhibiting enhanced images with sharpened edges and yet very limited compromise on the quality of the other image details.
Keywords :
approximation theory; edge detection; image enhancement; wave equations; FAB-TeD equations; adaptive damped wave equation; approximated FAB-TeD stability; edge sharpening; energy convergence; enhancement operator; forward-and-backward telegraph-diffusion equations; image details; image processing; stable image enhancement; Approximation methods; Convergence; Elasticity; Equations; Mathematical model; Nonhomogeneous media; Smoothing methods; Diffusion equations; Forward-and-Backward diffusion; Image enhancement; Telegraph-diffusion; Wave equations;
Conference_Titel :
Signal-Image Technology and Internet-Based Systems (SITIS), 2011 Seventh International Conference on
Conference_Location :
Dijon
Print_ISBN :
978-1-4673-0431-3
DOI :
10.1109/SITIS.2011.29
