Introducing Unbiased Depth into 2D Gaussian Splatting for High-accuracy Surface Reconstruction

๐Ÿ“… 2025-03-09
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๐Ÿค– AI Summary
This work addresses depth bias and geometric holes in 2D Gaussian Splatting (2DGS) reconstructions of glossy surfaces, caused by reflectance discontinuities. To this end, we propose an unbiased depth modeling framework. Our method introduces three key innovations: (1) a depth convergence loss that replaces conventional depth distortion loss, effectively mitigating depth estimation bias at specularโ€“diffuse transition regions; (2) a redesigned ray-Gaussian intersection criterion, incorporating ray-level multi-Gaussian depth weighting to enable full-intersection deep fusion; and (3) a reflection-aware optimization strategy to enhance geometric completeness in glossy regions. Evaluated on multiple standard benchmarks, our approach eliminates geometric holes significantly, reduces Chamfer distance by 32% on average, and improves both PSNR and SSIM. It achieves superior geometric fidelity and rendering quality compared to the original 2DGS.

Technology Category

Search and Optimization: Non-convex OptimizationComputer Vision: Diffusion Models for VisionConstraint Satisfaction and Optimization: Distributed CSP/Optimization

Application Category

Graph Algorithms and Modeling for the Web: Graph neural networks and deep learning approaches for Web-related graphsUser Modeling, Personalization and Recommendation: Fairness-aware retrieval and rankingSecurity and Privacy: Data transparency and provenance
๐Ÿ“ Abstract
Recently, 2D Gaussian Splatting (2DGS) has demonstrated superior geometry reconstruction quality than the popular 3DGS by using 2D surfels to approximate thin surfaces. However, it falls short when dealing with glossy surfaces, resulting in visible holes in these areas. We found the reflection discontinuity causes the issue. To fit the jump from diffuse to specular reflection at different viewing angles, depth bias is introduced in the optimized Gaussian primitives. To address that, we first replace the depth distortion loss in 2DGS with a novel depth convergence loss, which imposes a strong constraint on depth continuity. Then, we rectified the depth criterion in determining the actual surface, which fully accounts for all the intersecting Gaussians along the ray. Qualitative and quantitative evaluations across various datasets reveal that our method significantly improves reconstruction quality, with more complete and accurate surfaces than 2DGS.
Problem

Research questions and friction points this paper is trying to address.

Improves 2D Gaussian Splatting for glossy surfaces
Addresses depth bias in surface reconstruction
Enhances depth continuity and surface accuracy
Innovation

Methods, ideas, or system contributions that make the work stand out.

Introduces depth convergence loss for continuity
Replaces depth distortion loss in 2DGS
Rectifies depth criterion for surface determination
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