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10 February 2009 Image restoration regularized by a fourth-order PDE
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Abstract
A fourth order PDE is proposed as the regularization operator for image restoration in order to alleviate the "blocky" effects that frequently mar restored images regularized with anisotropic difusion (a second order PDE). This is motivated by its desirable property of evolving toward an image consisting of piecewise planar areas which is a less blocky and better approximation to natural images. In order to mitigate speckle artifacts that it frequently brings about, image gradient magnitude is added as an additional variable of the nonlinearity function that controls its behavior. A numerical implementation method is presented and simulation results indicate that the proposed method tend to produce restored images which are smoother in smooth areas and sharper in feature-rich areas. However, speckle artifacts need to be carefully addressed.
© (2009) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Wenhua Ma, Yu-Li You, and M. Kaveh "Image restoration regularized by a fourth-order PDE", Proc. SPIE 7245, Image Processing: Algorithms and Systems VII, 724509 (10 February 2009); https://doi.org/10.1117/12.805720
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