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Markus Worchel @mworchel.eurosky.social · 25/08/2026

Closely followed by my second favorite, "Burley and Studios (2012)"

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Markus Worchel @mworchel.eurosky.social · 24/08/2026

Still delighted by how many papers refer to this as "Karis and Games (2013)"

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Markus Worchel @mworchel.eurosky.social · 03/07/2026

We have seen heuristic, ARAP-like regularizers in many more applications with implicit surfaces (e.g. shape space learning), so we believe this is a useful tool beyond modeling. If you are interested, feel free to check out the paper (presented at SGP this week): diglib.eg.org/items/56b582...

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Markus Worchel @mworchel.eurosky.social · 03/07/2026

Mesh-based modeling often builds on natural deformations. Equipped with an ARAP regularizer, we can apply the same ideas to implicit surfaces. For example, Gauss Stylization [Kohlbrenner and Finnendahl et al., 2021] is an artistic technique that aligns surface normals with preference directions.

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Markus Worchel @mworchel.eurosky.social · 03/07/2026

The regularization term is theoretically grounded, simple to implement, efficient to evaluate...and it works surprisingly well!

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Markus Worchel @mworchel.eurosky.social · 03/07/2026

Instead, we follow the (arguably) straightforward way: we start from the *continuous* ARAP energy by Chao et al., and derive a regularization term that is really nothing more than a Monte Carlo estimate. This only requires point samples on the undeformed surface. No meshing involved!

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Markus Worchel @mworchel.eurosky.social · 03/07/2026

Prior work encourages as-rigid-as-possible deformations by retrofitting deformation energies designed for meshes to implicit surfaces through discretized level sets. This is not only costly but also error-prone: if the topology is not faithfully captured, topologically distant parts become coupled.

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Markus Worchel @mworchel.eurosky.social · 03/07/2026

Implicit surfaces are everywhere in vision and graphics applications that optimize shapes. If we adjust the surfaces through a "learnable" deformation field, how can we ensure they stay close to the undeformed state (e.g. a template)? Our latest paper offers a simple and effective ARAP regularizer🧵

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Markus Worchel @mworchel.eurosky.social · 03/05/2026

Tobias Djuren's "Basis Networks: Learning basis functions for free-form triangulations" learns basis functions from mesh examples to improve the limit surface of traditional subdivision schemes. Presentation: Tuesday · 14:00-15:30 · Kino 5 Paper: diglib.eg.org/handle/10.11...

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Markus Worchel @mworchel.eurosky.social · 03/05/2026

Hendrik Meyer's "Hierarchical Optimization of the As-Rigid-As-Possible Energy" introduces a multi-level optimization of the ARAP energy for efficient surface deformation. Presentation: Wednesday · 14:00-15:30 · Kino 4 Paper: diglib.eg.org/handle/10.11...

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Markus Worchel @mworchel.eurosky.social · 03/05/2026

Maximilian Kohlbrenner's "Contouring Signed Distance Fields by Approximating Gradients" improves SDF contouring by approximating gradient information using a tessellation. Presentation: Wednesday · 14:00-15:30 · Kino 4 Paper: diglib.eg.org/handle/10.11...

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Markus Worchel @mworchel.eurosky.social · 12/08/2025

Paper: dl.acm.org/doi/pdf/10.1145/3730900 Code (based on Mitsuba 3): github.com/tjueterb/mis...

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Markus Worchel @mworchel.eurosky.social · 12/08/2025

Our key observation is that this duality between acoustics and graphics lets us apply concepts from physically-based differentiable rendering to acoustics, enabling gradient-based optimization of acoustic objectives.

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Markus Worchel @mworchel.eurosky.social · 12/08/2025

The simulations assume that energy travels along rays and even the rendering equation is the same as in graphics! Almost, at least. Time is an additional parameter, because sound cannot be assumed to travel instantaneously.

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Markus Worchel @mworchel.eurosky.social · 12/08/2025

Differentiable rendering has transformed graphics and 3D vision, but what about other fields? Our SIGGRAPH 2025 introduces misuka, the first fully-differentiable path tracer for acoustics.

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Markus Worchel @mworchel.eurosky.social · 25/06/2025

If you work on physically-based differentiable rendering, take a look at our EGSR 2025 paper "Radiative Backpropagation with Non-Static Geometry". TL;DR: Mitsuba 3's prb_reparam and prb_projective integrators are biased when parameters affect geometry, but this unrelated to discontinuities! 1/3

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