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�Arial Assault: The Tragedy of Mandatory Mediocrity�

I suggest you open the slides in PowerPoint because they contain many relevant animations. Sorry, I was forced to use the seminar presentation template… I know, it also pains me to look at Arial and white backgrounds with footers.

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Elastic freedom�with Simplicits

Maja Gwóźdź

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Supervisor: Dr Ruben Wiersma

Digital Humans seminar HS24

12.12.2024

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Why?

Context

Comparisons

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All figures cited from [2], unless indicated otherwise.

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3D representations

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Problems?

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SDFs

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NeRFs

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NeRFs

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Gaussian splats

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Winding numbers

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see [2]

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Idea

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occupancy

explicit

implicit

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Context

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methods

mesh

mesh-based

mesh-free

embedded

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Mesh-based methods

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Mesh-free methods

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Embedded methods

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Simplicits

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mesh-free

physics-based

reduced

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Complex geometries

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Source: supplementary video from [2].

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Neural fields

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see [4]

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Deformation map

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Optimisation problem

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Parametrisation

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Training

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Parameters

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Elastic loss

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Orthogonality

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Elastic loss

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without

with

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Handles

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Handles

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ELU vs SIREN

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Ablation study

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Hooke’s law

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Contacts

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Gravity

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Signed-distance function mandelbulb

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Free fall

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Gaussian splat bulldozer

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Deformation

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CT-scanned heterogeneous skull/brain

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Gaussian splat ficus

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Point-sampled NeRF Frog

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Point-sampled NeRF frog

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Thin mesh ribbon

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Gravity and collisions

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Muscle simulation

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Deformation

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Try it yourself!

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KAOLIN

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Limitations

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acceleration possible

dynamic shapes

layered stiffness

theoretical guarantees

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Limitations

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code

usage

scalability

more complex deformations

adoption challenges

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Future research

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forward deformation map rendering

secondary effects

integration with generative models

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Dynamic adaptation

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localised deformations

meta-learning

incremental learning

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References

[1] Barill et al., 2018. Fast winding numbers for soups and clouds. ACM Transactions on Graphics (TOG), 37(4), pp.1-12.

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[2] Modi, V., Sharp, N., Perel, O., Sueda, S. and Levin, D.I., 2024.

Simplicits: Mesh-free, geometry-agnostic elastic simulation.

ACM Transactions on Graphics (TOG), 43(4), pp.1-11.

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[3] Pillwein, S. and Musialski, P., 2021. Generalized deployable elastic

geodesic grids. ACM Transactions on Graphics (TOG), 40(6), pp.1-15.

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[4] Xie et al., 2022. Neural fields in visual computing and beyond. Eurographics, 42(2),

pp. 1-36.

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Image credits

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