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$\pi^3$: Permutation-Equivariant Visual Geometry Learning

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99 Pith papers citing it
1 external citations · Pith
Background 57% of classified citations
abstract

We introduce $\pi^3$, a feed-forward neural network that offers a novel approach to visual geometry reconstruction, breaking the reliance on a conventional fixed reference view. Previous methods often anchor their reconstructions to a designated viewpoint, an inductive bias that can lead to instability and failures if the reference is suboptimal. In contrast, $\pi^3$ employs a fully permutation-equivariant architecture to predict affine-invariant camera poses and scale-invariant local point maps without any reference frames. This design not only makes our model inherently robust to input ordering, but also leads to higher accuracy and performance. These advantages enable our simple and bias-free approach to achieve state-of-the-art performance on a wide range of tasks, including camera pose estimation, monocular/video depth estimation, and dense point map reconstruction. Code and models are available at https://github.com/yyfz/Pi3.

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years

2026 91 2025 8

representative citing papers

World Tracing: Generative Pixel-Aligned Geometry Beyond the Visible

cs.CV · 2026-06-11 · unverdicted · novelty 7.0

World Tracing introduces a multi-layer pixel-aligned 3D point representation instantiated via a diffusion transformer (WT-DiT) trained with pixel-space flow matching to jointly reconstruct visible surfaces and generate occluded geometry.

ZipSplat: Fewer Gaussians, Better Splats

cs.CV · 2026-06-03 · unverdicted · novelty 7.0

ZipSplat uses multi-view token extraction followed by k-means clustering and attention to decode compact scene tokens into unconstrained 3D Gaussians, achieving SOTA pose-free results with ~6x fewer primitives.

Honey, I Shrunk the Arc de Triomphe!

cs.CV · 2026-06-01 · unverdicted · novelty 7.0 · 2 refs

MetricScenes dataset from web photos and stereo imagery, plus a two-stage Poisson depth completion method, allows fine-tuning MoGe-2 to mitigate scale-collapse in metric monocular geometry while preserving benchmark performance.

3D-Fixer: Coarse-to-Fine In-place Completion for 3D Scenes from a Single Image

cs.CV · 2026-04-06 · unverdicted · novelty 7.0

3D-Fixer performs in-place 3D asset completion from single-view partial point clouds via coarse-to-fine generation with ORFA conditioning, plus a new ARSG-110K dataset, to achieve higher geometric accuracy than MIDI and Gen3DSR while keeping diffusion efficiency.

VGGT-360: Geometry-Consistent Zero-Shot Panoramic Depth Estimation

cs.CV · 2026-03-19 · unverdicted · novelty 7.0

VGGT-360 delivers geometry-consistent zero-shot panoramic depth by converting panoramas into multi-view 3D reconstructions via VGGT models and three plug-and-play correction modules, then reprojecting the result.

MapAnything: Universal Feed-Forward Metric 3D Reconstruction

cs.CV · 2025-09-16 · unverdicted · novelty 7.0

MapAnything is a unified feed-forward transformer that regresses metric 3D scene geometry and cameras from images using a factored representation of depth maps, ray maps, poses, and scale.

Image2Sim: Scaling Embodied Navigation via Generative Neural Simulator

cs.CV · 2026-07-07 · conditional · novelty 6.5

A feed-forward feature-Gaussian plus one-step geometry-aware pixel-flow simulator converts large image collections into 20K interactive scenes and 10M+ navigation samples that improve zero-shot Habitat and real-robot performance.

TRIG: Trajectory-Rig Decoupled Metric Geometry Learning

cs.CV · 2026-07-07 · unverdicted · novelty 6.0

TRIG factorizes multi-camera poses into ego-trajectory and static rig geometry, with decoupled supervision and sparse temporal-spatial attention, claiming SOTA metric depth, pose, and 3D reconstruction on five driving benchmarks.

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