case study iv: geometrical modeling of the heart and the head
TRANSCRIPT
![Page 1: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/1.jpg)
Case Study IV: Geometrical Modeling of the Heart and
the HeadRob MacLeod, Moritz Dannhauer, Jonathan Bronson
![Page 2: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/2.jpg)
Motivation
Mesh
Geometrical modeling for simulation
![Page 3: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/3.jpg)
Pipeline Image Acq. &Processing
Segmentation & Structure Identification
Geometric Modeling& Fitting Structures
MeshingVolume Modeling
Simulation/Estimation
Verification/Validation
Discrete pointse.g., sensors
Boundary conditions
Measured Data
Visualization
Seg3
D
Cle
aver
SCIR
un
Shap
ewor
ks
Imag
eVis3
Dm
ap3D
SCIR
un
![Page 4: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/4.jpg)
Meshing
CAD-basedMeshing
![Page 5: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/5.jpg)
Meshing
Image Based Modeling
![Page 6: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/6.jpg)
Challenges of MeshingIrregular features
Multiple materials
Mesh size
Adaptive mesh
Computationalcost
Internal surfaces
![Page 7: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/7.jpg)
Examples in Biology
Non-manifold Interfaces
![Page 8: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/8.jpg)
Conforming to Boundaries
A B
Non-Conforming Mesh
Conforming Mesh
Internal surface
![Page 9: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/9.jpg)
Meshing packages
![Page 10: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/10.jpg)
Example: Oxford Heart
![Page 11: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/11.jpg)
Cross Section of Heart
BioMesh3D Tarantula
![Page 12: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/12.jpg)
Comparison - Run Time
0
7.5
15
22.5
30
0.5
24
BioMesh3D Tarantula
Time [hours]
![Page 13: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/13.jpg)
Comparison - Complexity
0
1.5
3
4.5
6
4.4
5.9
BioMesh3D Tarantula
Mesh nodes in [xMillion]
![Page 14: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/14.jpg)
Comparison - Adaptivity
0
50000
100000
150000
200000
39171
175028
BioMesh3D Tarantula
Size variability of elements:std dev. of
volume [uM^3]
![Page 15: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/15.jpg)
BioMesh3D Examples
![Page 16: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/16.jpg)
BioMesh3D - Properties
Pros:
+ Conforming+ Highly Adaptive+ Preserve smooth/small features
- Lack of Robustness- Mediocre usability- Long run time- Poor control of node density - Inconsistent element quality
Cons:
![Page 17: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/17.jpg)
New Meshing Approach:“Cleaver”
min(SICR)>=const
Bronson, J., Levine, J., and Whitaker, R. International Meshing Roundtable, 2012
![Page 18: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/18.jpg)
Cleaver Example
![Page 19: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/19.jpg)
Comparison - Torso
Conditionnumber
min(Dihedral Angle)
1E+011E+021E+031E+041E+051E+061E+071E+081E+091E+10
2.42E+07
2.94E+09
5.42E+06
0
2
4
6
8
0.40
7.4
Cleaver BioMesh3D CGAL
![Page 20: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/20.jpg)
Example: Head Model
8 Materials Integrated electrodes
![Page 21: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/21.jpg)
Comparison - Head Model
0
2.25
4.5
6.75
98.6
6.4
BioMesh3D Cleaver
Mesh nodes in [xMillion]
0
50
100
150
200
0.7
168
Time in [hours]
![Page 22: Case Study IV: Geometrical Modeling of the Heart and the Head](https://reader033.vdocuments.site/reader033/viewer/2022050807/58a2df0a1a28aba5548b7f3c/html5/thumbnails/22.jpg)
Cleaver in Action