Uncertainty Quantification for PDEs with Anisotropic Random Diffusion.
Helmut HarbrechtMichael PetersMarc SchmidlinPublished in: SIAM J. Numer. Anal. (2017)
Keyphrases
- anisotropic diffusion
- diffusion equation
- partial differential equations
- diffusion process
- nonlinear diffusion
- noise removal
- edge detection
- scale space
- diffusion processes
- heat diffusion
- level set
- inherent uncertainty
- tensor field
- uncertain data
- diffusion tensor
- diffusion coefficient
- multiscale
- structure tensor
- numerical scheme
- finite difference
- diffusion model
- numerical solution
- image enhancement
- scale spaces
- robust optimization
- fourth order
- reaction diffusion
- diffusion filtering
- mathematical morphology
- image processing
- filtering method
- image denoising
- wavelet transform