Neural Partial Differential Equations with Functional Convolution.
Ziqian WuXingzhe HeYijun LiCheng YangRui LiuShiying XiongBo ZhuPublished in: CoRR (2023)
Keyphrases
- partial differential equations
- diffusion equation
- image processing
- integral equation
- level set
- anisotropic diffusion
- image denoising
- numerical solution
- image enhancement
- evolution equation
- multiscale
- fourth order
- mathematical morphology
- differential equations
- neural network
- finite difference
- curve evolution
- energy functional
- mumford shah functional
- numerical methods
- gaussian kernel
- numerical algorithms
- numerical scheme
- natural images
- problems in image processing
- scale spaces
- finite difference method
- machine learning
- difference equations
- lattice boltzmann
- boundary value problem
- diffusion process
- denoising
- wavelet transform
- image analysis
- feature vectors