1. Motivation
Need a stable way to extract the filament structure of the material
In general we don’t know the scale of simulation
Want a result that is invariant over small changes

2. Motivation
Need a stable way to extract the filament structure of the material
In general we don’t know the scale of simulation
Want a result that is invariant over small changes

3. Motivation
Need a stable way to extract the filament structure of the material
In general we don’t know the scale of simulation
Want a result that is invariant over small changes

4. Topology Background - MS-complex

5. Topology Background - MS-complex

6. Analysis of Porous Media - Impact
Extract filaments for various time steps, compare structures

7. Analysis of Porous Media - Impact
Compute statistics for time steps

8. Large scale atomistic simulation
Quantitative Analysis of the Impact of a Micrometeoroid in a Porous Medium
Large scale atomistic simulation
Micrometeoroid
impact direction

9. The Topological Reconstruction Method is Validated with a Known Test Shape

10. The Hierarchical Morse-Smale Complex Has Very Good Reconstruction Properties

11. The Hierarchical Morse-Smale Complex Has Very Good Reconstruction Properties

12. We Apply This Procedure to the Porous Medium From Atomistic Simulations

13. We Apply This Procedure to the Porous Medium From Atomistic Simulations
372 simple cycles

14. We Apply This Procedure to the Porous Medium From Atomistic Simulations
410 simple cycles

15. We Apply This Procedure to the Porous Medium From Atomistic Simulations
325 simple cycles

16. Time comparison of the reconstructions
We Obtain a Consistent Reconstruction of the Filament Structures in the Material
Time comparison of the reconstructions

17. Decay in porosity of the material
The Extracted Structures Allow to Quantify the Change in Density of the Material
Density profiles
Decay in porosity of the material