Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities.
Martin HutzenthalerArnulf JentzenThomas KrusePublished in: CoRR (2019)
Keyphrases
- partial differential equations
- solving partial differential equations
- mumford shah model
- image denoising
- anisotropic diffusion
- level set
- finite difference
- finite difference method
- numerical algorithms
- numerical solution
- numerical methods
- image processing
- image enhancement
- euler lagrange equations
- curve evolution
- energy functional
- numerical scheme
- multiscale
- mathematical morphology
- problems in image processing
- differential equations
- high order
- diffusion equation
- image gradient
- structure tensor
- fourth order
- level set method
- heat equation
- difference equations
- conservation laws
- pattern recognition
- lattice boltzmann
- machine learning
- pairwise
- nonlinear diffusion
- optical flow
- wavelet transform
- noise removal
- denoising
- active contours