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arxiv: 2606.21162 · v1 · pith:XLJH7H3Anew · submitted 2026-06-19 · 💻 cs.GR · cs.CV

PIAvatar: Physically Interactive Avatars via Deformation Gradient Decoupling

Sang-Hun Han , Min-Gyu Park , Jisu Shin , Seunghyun Shin , Jin-Hwi Park , Hae-Gon Jeon This is my paper

Pith reviewed 2026-06-26 12:54 UTC · model grok-4.3

classification 💻 cs.GR cs.CV
keywords physically interactive avatarsdeformation gradient decouplingmaterial point methodnon-rigid simulationskeletal frameworkavatar interactionshuman body simulation
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The pith

Decoupling kinematic velocity from deformation gradient enables avatars to maintain poses under external physical forces.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper tries to establish that avatars can perform non-rigid physical deformations during interactions by decoupling the kinematic velocity from the deformation gradient. This separation stops the stress from external forces from interfering with the ability to reach a desired pose. Integrating a skeletal framework then allows closed-form pose estimation and real-time tracking even as the body deforms. The whole system runs in a Material Point Method to maintain physical consistency. Readers would care because it moves avatars from visual-only models toward ones that can push and respond to the world naturally.

Core claim

When external forces act on avatars, the kinematic velocity induces stress which hinders the avatar's ability to achieve a desired pose. Decoupling kinematic velocity from deformation gradient resolves this issue. In addition, integrating a skeletal framework within the avatar allows estimating its poses and real-time tracking in a closed form, even during non-rigid physical interactions. The approach is implemented within a conventional Material Point Method framework to ensure physically consistent dynamics, enabling interactions with objects and other humans.

What carries the argument

Deformation gradient decoupling that separates kinematic velocity to eliminate pose-hindering stress, combined with an embedded skeletal framework for closed-form tracking.

If this is right

  • Avatars achieve physically aware interactions with environments and other avatars.
  • Non-rigid body simulation occurs without sacrificing pose control.
  • Pose estimation and tracking stay in closed form during deformations.
  • Physically consistent dynamics are produced in standard MPM simulations.
  • Behavior is validated across human-object and human-human scenarios.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Similar decoupling might apply to other simulation domains like soft robotics or cloth dynamics.
  • Real-time performance could enable new interactive applications in games or virtual reality.
  • Extending the skeletal framework to handle more extreme deformations could be a next step.

Load-bearing premise

Embedding a skeletal framework inside the avatar will allow closed-form pose estimation and real-time tracking even while the body undergoes non-rigid physical deformations.

What would settle it

Run a simulation where an external force pushes the avatar away from its target pose; check if the decoupling keeps the pose accurate or if stress still appears.

Figures

Figures reproduced from arXiv: 2606.21162 by Hae-Gon Jeon, Jin-Hwi Park, Jisu Shin, Min-Gyu Park, Sang-Hun Han, Seunghyun Shin.

Figure 1
Figure 1. Figure 1: Physical avatar interactions with bidirectional and non-rigid defor [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: An illustration of our framework. (a) To faithfully reflect the user-defined motion, we decouple the kinematic velocity from the deformation gradient update (Sec. 4.1). (b) By computing the velocity from the transformations of the embedded skeletal structure, our method preserves the pose consistency throughout the simulation (Sec. 4.2). 4.1 Kinematic Deformation Decoupling (a) Velocity (b) Deformation (c)… view at source ↗
Figure 3
Figure 3. Figure 3: Velocity-induced stress formation. (a) The kinematic velocity is applied to the avatar par￾ticles p. (b) The change in deformation gradients F p occurs due to the kinematic velocity (see blue- and red-colored ellipses). (c) The deformation generates stress σp that hinders intended kinematic motion. As shown in [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Various Interactions. (a, b) Non-rigid deformations arising from physical interactions with objects. (c, d) The bidirectional interaction between avatars and its mutual pose changes. Time and Space Complexity. The detailed runtime is described in Tab. 3. The experiments are conducted using single- and four-avatar scenarios in SMPL￾X and AG. The velocity generation and the Kabsch algorithm are executed once… view at source ↗
Figure 5
Figure 5. Figure 5: Non-rigid deformation. Our method can generate non-rigid deformations, such as naturally fluttering hair, that are not achievable with conventional avatars without explicit modeling. Human-Human Interactions. In [PITH_FULL_IMAGE:figures/full_fig_p012_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Soft-tissue deformable avatar. Our simulator produces non-rigid effects, such as the natural jiggling of belly fat. Unlike conventional LBS-based avatars, where body motion does not influence surface deformation, our physical simulation system exhibits natural inertial wobbling during jumping and landing [PITH_FULL_IMAGE:figures/full_fig_p013_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Deformation gradient visualization. The simulation visualizes how forces are transmitted through changes in the deformation gradient F p. the hitting point of the object, the deformation gradient progressively propagates outward to the surrounding area. Simulation on Resistance of Avatar. To highlight the effectiveness of our PIAvatar, we design one more scenario where a ball, set in motion by one avatar’s… view at source ↗
Figure 8
Figure 8. Figure 8: Resistance simulation according to the impact of the ball. [PITH_FULL_IMAGE:figures/full_fig_p014_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Heterogeneous material assignment. (a) The body (Neo-Hookean, E=105 ) and compliant regions (corotated, E=102 –103 ) exhibit distinct deformation magnitudes under motion. (b) Despite regional variation in stiffness, global skeletal articulation remains stable and consistent with the input pose sequence. 6 Conclusion We introduce PIAvatar, an MPM-based avatar simulation framework that achieves physically aw… view at source ↗
Figure 10
Figure 10. Figure 10: Motivation for our disentangled deformation gradient. [PITH_FULL_IMAGE:figures/full_fig_p016_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Effect of Young’s modulus E on object stiffness. (a) High-E objects behave as rigid masses and move as solid blocks. (b) Low-E objects deform noticeably and fly in a soft, squishy manner. These results demonstrate that our simulator natu￾rally reflects material-dependent stiffness [PITH_FULL_IMAGE:figures/full_fig_p019_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: Multi-object interactions. The avatar and objects push against each other, causing object deformation. Our simulator supports such interactions between an avatar and multiple dynamic objects, demonstrating multi-object capabilities. References 1. Anguelov, D., Srinivasan, P., Koller, D., Thrun, S., Rodgers, J., Davis, J.: Scape: shape completion and animation of people. In: ACM Transactions on Graphics (T… view at source ↗
Figure 13
Figure 13. Figure 13: Interaction response under different object masses. [PITH_FULL_IMAGE:figures/full_fig_p020_13.png] view at source ↗
read the original abstract

3D human avatars have shown impressive visual fidelity driven by pose-conditioned models, yet they still lack the physical ability required for interactions with each other and environments. Although recent studies have made various attempts to incorporate physical characteristics into 3D avatars, they only exhibit limited physical deformations, often leading to constrained interaction behaviors. To resolve this issue, we present PIAvatar, a framework to simultaneously enable physically aware interactions between avatar-avatar and avatar-environment, and a non-rigid deformable human body simulation. In this work, our key insight is to decouple kinematic velocity from deformation gradient. When external forces act on avatars, the kinematic velocity induces stress which hinders the avatar's ability to achieve a desired pose. In addition, we integrate a skeletal framework within the avatar. It allows estimating its poses and real-time tracking in a closed form, even during non-rigid physical interactions. Our approach is implemented within a conventional Material Point Method framework to ensure physically consistent dynamics. We lastly evaluate the method on both human-object and human-human interaction scenarios to assess its behavior under diverse interaction settings.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The paper presents PIAvatar, a framework for physically interactive 3D human avatars that supports avatar-avatar and avatar-environment interactions alongside non-rigid body simulation. The central claims are that decoupling kinematic velocity from the deformation gradient prevents induced stress from opposing desired poses under external forces, and that embedding a skeletal framework enables closed-form pose estimation and real-time tracking even while the body undergoes non-rigid physical deformations inside an MPM solver. The approach is implemented in a standard Material Point Method framework and evaluated on human-object and human-human interaction scenarios.

Significance. If the decoupling resolves the stress-pose conflict and the skeletal inverse remains closed-form under general MPM deformations, the work would enable more physically consistent interactive avatars than prior limited-deformation models, with potential impact on animation, VR, and physics-based graphics. The MPM implementation and interaction evaluations are standard strengths, but the absence of visible derivations for the load-bearing skeletal claim limits immediate assessment of novelty.

major comments (2)
  1. [Abstract (skeletal integration paragraph)] Abstract (skeletal integration paragraph): the assertion that the skeletal framework 'allows estimating its poses and real-time tracking in a closed form, even during non-rigid physical interactions' is load-bearing for the interactivity claim, yet no derivation, auxiliary constraint, or skinning-weight condition is supplied to show why the inverse problem remains closed-form rather than a non-linear least-squares solve under arbitrary MPM deformations.
  2. [Abstract (decoupling insight)] Abstract (decoupling insight): the statement that 'decoupling kinematic velocity from deformation gradient' resolves stress hindering desired poses is presented without equations, implementation details, or proof that the separation does not reintroduce parameters or approximations inside the MPM constitutive model.
minor comments (1)
  1. The abstract would be strengthened by a one-sentence reference to any quantitative metrics, ablation results, or timing data that support the real-time and physical-consistency claims.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive feedback on the key claims. We address each major comment below and will revise the manuscript to supply the requested details and derivations.

read point-by-point responses

  1. Referee: [Abstract (skeletal integration paragraph)] Abstract (skeletal integration paragraph): the assertion that the skeletal framework 'allows estimating its poses and real-time tracking in a closed form, even during non-rigid physical interactions' is load-bearing for the interactivity claim, yet no derivation, auxiliary constraint, or skinning-weight condition is supplied to show why the inverse problem remains closed-form rather than a non-linear least-squares solve under arbitrary MPM deformations.

    Authors: We agree the abstract would be strengthened by explicit support for the closed-form claim. The skeletal tracker remains closed-form because particle-to-joint mappings use fixed skinning weights; the pose is recovered by solving a linear system over the deformed particle positions after the kinematic velocity step, independent of the subsequent MPM deformation-gradient update. We will add a concise derivation and the skinning-weight condition to the methods section and reference it from the abstract in the revision. revision: yes

  2. Referee: [Abstract (decoupling insight)] Abstract (decoupling insight): the statement that 'decoupling kinematic velocity from deformation gradient' resolves stress hindering desired poses is presented without equations, implementation details, or proof that the separation does not reintroduce parameters or approximations inside the MPM constitutive model.

    Authors: The decoupling is realized by splitting the grid velocity into a kinematic component (prescribed by the target pose) and a residual deformational component; only the residual updates the deformation gradient inside the standard MPM constitutive model. This separation uses the existing velocity field and does not introduce new parameters or approximations. We will insert the explicit velocity-split equations and a short implementation note in the revised methods section. revision: yes

Circularity Check

0 steps flagged

No circularity; claims asserted without self-referential reduction

full rationale

The provided abstract and text assert decoupling of kinematic velocity from the deformation gradient and closed-form pose recovery via skeletal embedding inside an MPM solver, but contain no equations, fitted parameters, or self-citations that reduce any prediction or result to its own inputs by construction. The skeletal closed-form claim is presented as an enabling property of the framework rather than derived from prior results or data fits within the paper. No load-bearing step exhibits the enumerated circular patterns.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

No free parameters, axioms, or invented entities can be identified from the abstract alone.

pith-pipeline@v0.9.1-grok · 5742 in / 1023 out tokens · 23241 ms · 2026-06-26T12:54:04.248336+00:00 · methodology

discussion (0)

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Reference graph

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