Notes on image processing with partial differential equations

@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}
}
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