## Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems

- R. Kubo
- J. Phys. Soc. Japan. 12: 570-586, 1957.
- 1957

Highly Influential

@article{KamgarParsi2015NotesOI, title={Notes on image processing with partial differential equations}, author={Behzad Kamgar-Parsi and Behrooz Kamgar-Parsi and Kian Kamgar-Parsi}, journal={2015 IEEE International Conference on Image Processing (ICIP)}, year={2015}, pages={1737-1741} }

- Published 2015 in 2015 IEEE International Conference on Image…
DOI:10.1109/ICIP.2015.7351098

We discuss the underlying physics of transport coefficients in the PDE image processing approach and present a more principled method for their construction. Transport coefficients in PDEs play important roles, e.g., the diffusion coefficient c in the Perona-Malik equation ∂u/∂t = ∇T (c∇u). Hence different models for c have been proposed in the literature. We present a physics-based method for constructing c and compare its performance with existing models. We also clarify an issue that arises… CONTINUE READING