- Processing : a program with some input/output images.
- Filtering: remove the noise in preserving the geometrical features
time evolution with Non-linear anisotropic diffusion
- Segmentation: convert the grey(color)-level image to a labelled image
Rock
Watershed segmentation
- Filtering: remove the noise in preserving the geometrical features
- Analysis: a program with an input image and an output metric.
- Metric: 2-point correlation, VER porosity, fractal box, curvature,…
Curvature
- Topology: Euler-Poincare number, percolation-opening,…
Topological graph
- Physics: coefficient of self-diffusion, permeability
Velocity field relaxation
Pressure field relaxation
- Visualization: a program with a visualization output
- Label image: representation of the labelled image
Euclidean distance
- OpenGL: 3d visualization
Grain decompisition
- Label image: representation of the labelled image
- PDE: partial difference equation solved by a finite difference scheme
Grain decomposition
Allen-Cahn regularization
- Statistics: Mathematical analysis of function oriented statistics
Sampling random variables from multi-variate normal distribution using the Cholesky decomposition
- Linear Algebra: Matrix transformation
Image rotation
- Representation: time-space domain
Image
FFT representation
