V. B. S. Prasath, D. Vorotnikov, R. Pelapur, S. Jose, G. Seetharaman, K. Palaniappan. Multiscale Tikhonov-total variation image restoration using spatially varying edge coherence exponent. IEEE Transactions on Image Processing, 24(12), 5220-5235, December 2015. doi:10.1109/TIP.2015.2479471
See our related works in general vectorial p(x) map-based diffusion flows were analysis and experiments undertaken in image smoothing, restoration and edge detection:
V. B. S. Prasath, D. Vorotnikov. On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing I. Analysis. Nonlinear Analysis, 168, pp. 176-197, Mar 2018. doi:10.1016/j.na.2017.11.013. Preliminary version at arXiv, March 2016. doi:10.48550/arXiv.1603.06337. This part explains the theoretical analysis of the diffusion models.
V. B. S. Prasath, D. Vorotnikov. On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing II. Experiments. In Preparation, 2023. doi:10.48550/arXiv.23xx.12345 This part presents the image processing applications (smoothing, restoration, edge detection) of the VarEx diffusion models.