Title
Stable Image Enhancement by Adaptive Damped Wave Equation with Force Term
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.
Year
DOI
Venue
2011
10.1109/SITIS.2011.29
SITIS
Keywords
Field
DocType
stable approximated version,image detail,limited compromise,enhancement image processing scheme,original fab-ted operator,enhancement operator,approximated fab-ted,force term,energy convergence,adaptive damped wave equation,new scheme,enhanced image,stable image enhancement,approximation theory,wave equation,edge detection,wave equations,diffusion equation,image processing
Anisotropic diffusion,Convergence (routing),Edge detection,Mathematical analysis,Image processing,Damped wave,Approximation theory,Operator (computer programming),Wave equation,Mathematics
Conference
Citations 
PageRank 
References 
1
0.40
3
Authors
2
Name
Order
Citations
PageRank
Vadim Ratner1127.20
Yehoshua Y. Zeevi2610248.69