Pointmap Association and Piecewise-Plane Constraint for Consistent and Compact 3D Gaussian Segmentation Field

TL;DR

CCGS integrates pointmap association and piecewise-plane constraint to achieve consistent and compact 3D Gaussian segmentation fields, excelling on ScanNet and Replica datasets.

cs.CV 🔴 Advanced 2025-02-23 43 views
Wenhao Hu Wenhao Chai Shengyu Hao Xiaotong Cui Xuexiang Wen Jenq-Neng Hwang Gaoang Wang
3D segmentation Gaussian field pointmap association piecewise-plane constraint multi-view consistency

Key Findings

Methodology

CCGS combines pointmap association and piecewise-plane constraint. Pixel correspondences are established by minimizing Euclidean distances between pointmaps, and mask association is optimized using the Hungarian algorithm. The piecewise-plane constraint ensures compactness by restricting point displacements within local planes.

Key Results

  • On ScanNet, CCGS achieves 65.3% single-view mIoU (2.38% improvement) and 62.3% multi-view mIoU, demonstrating superior multi-view consistency.
  • On Replica, CCGS achieves 72.5% 3D mIoU, outperforming baselines by 3.1%, and reduces Chamfer Distance by 15%.
  • Piecewise-plane constraint significantly reduces floaters, enhancing structural compactness and semantic consistency in 3D segmentation fields.

Significance

This work addresses multi-view segmentation inconsistency and loose 3D segmentation fields, providing a robust solution for 3D scene understanding. By integrating pointmap association and piecewise-plane constraint, CCGS achieves state-of-the-art results in both 2D and 3D segmentation tasks, particularly excelling in multi-view consistency and compactness. This has significant implications for autonomous driving, AR, and robotics.

Technical Contribution

CCGS introduces pointmap association and piecewise-plane constraint into 3D Gaussian segmentation. The Hungarian algorithm resolves ID inconsistencies across views, while plane constraints reduce floaters and improve compactness. The initialization and split projection strategies further enhance segmentation quality.

Novelty

CCGS is the first to combine pointmap association and piecewise-plane constraint for 3D Gaussian segmentation, uniquely addressing both 2D consistency and 3D compactness, outperforming existing methods.

Limitations

  • Fails to handle rapidly changing object shapes in dynamic scenes.
  • Relies heavily on high-quality initial point clouds; performance degrades with noisy data.
  • High computational complexity limits scalability to large datasets.

Future Work

Future work could explore more efficient optimization algorithms to reduce computational costs, extend applicability to dynamic scenes, and test on larger-scale datasets.

AI Executive Summary

3D scene segmentation is critical for applications like autonomous driving and AR, yet existing methods struggle with multi-view consistency and segmentation compactness. CCGS addresses these challenges using pointmap association and piecewise-plane constraints.

Pointmap association establishes pixel correspondences by minimizing Euclidean distances, and the Hungarian algorithm optimizes mask matching across views. The piecewise-plane constraint ensures compact 3D segmentation by restricting point displacements within local planes, reducing floaters and improving structural integrity.

Experiments on ScanNet and Replica datasets show that CCGS outperforms state-of-the-art methods in 2D and 3D segmentation tasks. Despite computational challenges, CCGS represents a significant step forward in achieving consistent and compact 3D segmentation fields, with promising applications in robotics, AR, and autonomous systems.

Deep Analysis

Background

3D scene segmentation has evolved significantly, with methods like PointNet and Semantic-NeRF advancing point cloud classification and semantic modeling. However, challenges remain in achieving multi-view consistency and compact segmentation fields, especially in dynamic scenes.

Core Problem

Existing methods struggle with maintaining consistent segmentation IDs across views and often treat segmentation and optimization as separate tasks. This leads to loose segmentation fields with floaters, compromising semantic representation and reconstruction quality.

Innovation

CCGS introduces two key innovations:

  • �� Pointmap association: Establishes pixel correspondences for consistent multi-view segmentation.
  • �� Piecewise-plane constraint: Restricts points to local planes, reducing floaters and improving compactness.

Methodology

  • �� Pointmap association: Uses DUSt3R to generate pointmaps and minimize distances for pixel correspondences.
  • �� Mask matching: Redefines mask overlap and uses the Hungarian algorithm to optimize associations.
  • �� Plane constraint: Fits local planes to points of the same class, enforcing compactness.
  • �� Split projection: Ensures new points remain within class-specific planes during densification.

Experiments

Experiments were conducted on ScanNet and Replica datasets, using metrics like mIoU, PSNR, SSIM, and Chamfer Distance. Baselines included Panoptic Lifting, Contrastive Lift, and Gaussian Grouping.

Results

CCGS achieved 65.3% single-view mIoU on ScanNet (2.38% improvement) and 72.5% 3D mIoU on Replica (3.1% improvement), with significant reductions in Chamfer Distance and improved multi-view consistency.

Applications

CCGS can be applied in autonomous driving for real-time environment perception, in AR for precise scene modeling, and in robotics for semantic mapping and navigation.

Limitations & Outlook

CCGS struggles with dynamic scenes and relies on high-quality point clouds. Its computational demands may hinder scalability, requiring future optimization.

Plain Language Accessible to non-experts

Imagine building a 3D puzzle where each piece is a photo. CCGS is like a smart assistant that aligns the edges of each piece using a map of their connections. It then uses a magnetic board to keep the pieces in place, ensuring they don't float away or overlap incorrectly. This way, you end up with a perfectly aligned and compact 3D puzzle that looks just like the real scene.

ELI14 Explained like you're 14

Think of CCGS as a super-smart puzzle solver! It takes photos and finds how they connect using a special map called a pointmap. Then, it uses a cool trick called the Hungarian algorithm to match pieces perfectly. To keep everything neat, it uses a 'magnet board' (called a plane constraint) to stop pieces from floating away. The result? A perfect 3D puzzle of the world around you! Cool, right?

Glossary

Pointmap

A 2D matrix mapping image pixels to 3D scene points.

Used for establishing pixel correspondences across views.

Hungarian Algorithm

An optimization algorithm for solving assignment problems by minimizing total matching cost.

Used for mask association across views.

Piecewise-Plane Constraint

A constraint that restricts points to local planes to enhance compactness.

Used to reduce floaters in 3D segmentation fields.

Gaussian Segmentation Field

A 3D scene segmentation method based on Gaussian points.

Represents scene geometry and semantics.

Chamfer Distance

A metric for measuring geometric similarity between point clouds.

Used to evaluate 3D segmentation field fidelity.

Open Questions Unanswered questions from this research

  • 1 How can segmentation consistency and compactness be maintained in dynamic scenes?
  • 2 Can computational efficiency be improved for large-scale datasets?

Applications

Immediate Applications

Autonomous Driving

Enables real-time environment perception and semantic mapping, enhancing safety and reliability.

Augmented Reality

Supports precise scene modeling and virtual object interaction, improving user experience.

Long-term Vision

Intelligent Robotics

Facilitates autonomous navigation and interaction in complex environments, advancing robotics.

Abstract

Achieving a consistent and compact 3D segmentation field is crucial for maintaining semantic coherence across views and accurately representing scene structures. Previous 3D scene segmentation methods rely on video segmentation models to address inconsistencies across views, but the absence of spatial information often leads to object misassociation when object temporarily disappear and reappear. Furthermore, in the process of 3D scene reconstruction, segmentation and optimization are often treated as separate tasks. As a result, optimization typically lacks awareness of semantic category information, which can result in floaters with ambiguous segmentation. To address these challenges, we introduce CCGS, a method designed to achieve both view consistent 2D segmentation and a compact 3D Gaussian segmentation field. CCGS incorporates pointmap association and a piecewise-plane constraint. First, we establish pixel correspondence between adjacent images by minimizing the Euclidean distance between their pointmaps. We then redefine object mask overlap accordingly. The Hungarian algorithm is employed to optimize mask association by minimizing the total matching cost, while allowing for partial matches. To further enhance compactness, the piecewise-plane constraint restricts point displacement within local planes during optimization, thereby preserving structural integrity. Experimental results on ScanNet and Replica datasets demonstrate that CCGS outperforms existing methods in both 2D panoptic segmentation and 3D Gaussian segmentation.

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