Expressions of Solutions of Linear Partial Differential Equations Using Algebraic Operators and Algebraic Convolution.
Liepa BikulcienéZenonas NavickasPublished in: NAA (2008)
Keyphrases
- partial differential equations
- algebraic operators
- integral equation
- difference equations
- boundary value problem
- diffusion equation
- numerical algorithms
- image processing
- anisotropic diffusion
- finite difference
- numerical solution
- image denoising
- nonlinear partial differential equations
- image enhancement
- level set
- differential equations
- numerical methods
- energy functional
- query language
- multiscale
- problems in image processing
- data model
- heat equation
- denoising
- edge detection
- gaussian kernel
- curve evolution
- mathematical models
- fourth order
- databases
- image analysis
- nonlinear diffusion
- mathematical morphology
- optimal solution
- scale spaces
- conservation laws
- piecewise constant
- feature extraction
- finite difference method
- boundary element