Title :
The Magic of Nonlocal Perona–Malik Diffusion
Author_Institution :
Lane Dept. of Comput. Sci. & Electr. Eng., West Virginia Univ., Morgantown, WV, USA
Abstract :
In this letter, we show that it is possible to obtain perfect reconstruction of the 256 X 256 phantom image from only 8 radial lines in the Fourier domain by a nonlocal extension of Perona-Malik diffusion.
Keywords :
Fourier analysis; image reconstruction; Fourier domain; nonlocal Perona-Malik diffusion; nonlocal extension; phantom image reconstruction; radial lines; Compressed sensing; Image edge detection; Image reconstruction; Optimization; Phantoms; Pixel; Robustness; Compressive sensing; nonconvex regularization; nonlocal Perona–Malik diffusion;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2011.2162503
