Organizations: Department of Mechanical and Automation Engineering and T Stone Robotics Institute, The Chinese University of Hong Kong, Hong Kong. · Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang, China · State Key Laboratory of Robotics and Intelligent Systems, Shenyang, China · School of Integrated Circuits, Shanghai Jiao Tong University, Shanghai, China · School of Automation and Intelligent Sensing, Shanghai Jiao Tong University, Shanghai, China · Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, China
Reconstructing deformable surgical scenes from endoscopic videos is challenging and clinically important. Recent state-of-the-art methods based on implicit neural representations or 3D Gaussian splatting have made notable progress. However, most are designed for deformable scenes with fixed endoscope viewpoints and rely on stereo depth priors or accurate structure-from-motion for initialization and optimization, limiting their ability to handle monocular sequences with large camera motion in real clinical settings. To address this, we propose Local-EndoGS, a high-quality 4D reconstruction framework for monocular endoscopic sequences with arbitrary camera motion. Local-EndoGS introduces a progressive, window-based global representation that allocates local deformable scene models to each observed window, enabling scalability to long sequences with substantial motion. To overcome unreliable initialization without stereo depth or accurate structure-from-motion, we design a coarse-to-fine strategy integrating multi-view geometry, cross-window information, and monocular depth priors, providing a robust foundation for optimization. We further incorporate long-range 2D pixel trajectory constraints and physical motion priors to improve deformation plausibility. Experiments on three public endoscopic datasets with deformable scenes and varying camera motions show that Local-EndoGS consistently outperforms state-of-the-art methods in appearance quality and geometry. Ablation studies validate the effectiveness of our key designs. Code will be released upon acceptance at: https://github.com/IRMVLab/Local-EndoGS.
Figures & tables
Figure 1: (a)–(c) Illustrations of three typical types of camera motion in surgical scenes: (a) fixed camera, (b) camera moving around the tissue, and (c) camera moving forward. (d) Monocular reconstruction results of different methods under camera motion. State-of-the-art 4D surgical reconstruction algorithms experience significant degradation in reconstruction quality when the camera moves, while our method maintains superior performance.
Figure 2: Overview of Local-EndoGS. Given a long monocular endoscopic sequence with arbitrary camera motion, Local-EndoGS reconstructs the entire deformable scene using a progressive window-based global scene representation ( 3.2 ). Specifically, the sequence is first divided into multiple local windows based on its dynamic characteristics. For each local window, the scene structure is initialized using a local canonical space initialization strategy ( 3.4 ). Then, a local deformable scene representation ( 3.3 ) is used to model each region. The parameters of each local scene representation are then optimized using carefully designed loss functions ( 3.5 ) in a progressive manner until all local models are fully optimized.
Figure 3: Comparison of Feature Matching and Point Cloud Results Using Traditional Methods and Track-Any-Point (TAP) model [ 6 ] . (a) Correspondences obtained using SIFT keypoints with brute-force matching. (b) Sparse point cloud reconstructed from the correspondences shown in (a). (c) Correspondences from the TAP model. (d) Dense point cloud from TAP-based correspondences. Green and red lines indicate correct and incorrect feature matches, respectively.
Figure 4: Visualization of RGB images rendered by 3DGS ϕiC initialized from the coarse stage and their corresponding reconstruction error maps with respect to the ground truth. Top row : rendered RGB images. Bottom row : pixel-wise reconstruction error maps, where higher values indicate greater reconstruction errors, especially near tissue boundaries and regions with deformation.
Dataset
Sequence
Frames
Resolution
Camera Motion
Windows
EndoNeRF [ 52 ]
Pulling
63
512×640
Fixed camera
1
Cutting
156
512×640
Fixed camera
1
StereMIS [ 13 ]
Sequence1
1000
512×640
Moving around tissue
49
Sequence2
1500
512×640
Moving around tissue
69
EndoMapper [ 1 ]
Sequence1
267
512×640
Moving forward
15
Sequence2
267
512×640
Moving forward
16
Table 1: Summary of the datasets and sequences used in our study. Each sequence’s number of frames, image resolution, camera motion type, and window count are listed.
Metric
Definition
Abs Rel
∣D∣1∑d∈Dd∗∣d−d∗∣
Sq Rel
∣D∣1∑d∈Dd∗(d−d∗)2
RMSE
∣D∣1∑d∈D(d−d∗)2
RMSE log
∣D∣1∑d∈D(logd−logd∗)2
Accuracy ( δ<1.25 )
∣D∣1∑d∈DI(max(d∗d,dd∗)<1.25)
Accuracy ( δ<1.252 )
∣D∣1∑d∈DI(max(d∗d,dd∗)<1.252)
Table 2: Depth error and accuracy metrics used for evaluation. Here, d and d∗ denote the predicted and ground-truth depth values, respectively, and D represents the set of predicted depth values.
Method
PSNR
SSIM
LPIPS
Abs Rel
Sq Rel
RMSE
RMSE log
δ<1.25
δ<1.252
Pulling
EndoNeRF
37.723
0.949
0.088
0.354
8.500
22.607
0.390
0.421
0.746
EndoSurf
37.117
0.950
0.108
9.854
943.824
39.685
1.049
0.325
0.583
ForPlane
30.555
0.896
0.104
0.313
8.802
26.267
0.344
0.425
0.787
DDS-SLAM
25.508
0.797
0.371
0.431
9.363
18.062
0.448
0.425
0.671
EndoGS
25.663
0.852
0.355
0.126
4.272
15.771
0.176
0.807
0.927
Table 3: Quantitative comparison of different methods on the EndoNeRF dataset. Columns highlighted in xx indicate that higher values are better, while those in xx indicate that lower values are better. The best results are highlighted in bold , and the second best results are underlined .
Method
PSNR
SSIM
LPIPS
Abs Rel
Sq Rel
RMSE
RMSE log
δ<1.25
δ<1.252
StereoMIS-Sequence1
EndoNeRF
25.913
0.746
0.481
0.420
23.226
58.555
0.478
0.310
0.590
EndoSurf
24.883
0.715
0.520
3.219
472.041
51.691
0.736
0.319
0.578
ForPlane
16.389
0.651
0.792
0.640
36.502
62.023
0.613
0.299
0.544
DDS-SLAM
16.585
0.569
0.673
0.355
20.031
40.680
0.402
0.462
0.726
EndoGS
20.412
0.691
0.643
0.572
10.705
29.252
0.522
0.454
0.740
Table 4: Quantitative comparison of different methods on the StereoMIS dataset. Columns highlighted in xx indicate that higher values are better, while those highlighted in xx indicate that lower values are better. The best results are shown in bold , and the second-best results are underlined .
Figure 5: Qualitative comparison of image rendering and depth prediction on deformable scenes at different time points from the StereoMIS dataset. Each pair of rows represents a specific time point: the first row shows the rendered RGB images, and the second row shows the predicted depth maps. The figure presents results from three time points (from top to bottom), illustrating how the observed scene changes as the camera moves. Compared to existing methods, Local-EndoGS (Ours) consistently provides finer reconstruction details, while the baseline methods show limitations in both image quality and depth accuracy.
Method
PSNR
SSIM
LPIPS
Abs Rel
Sq Rel
RMSE
RMSE log
δ<1.25
δ<1.252
EndoMapper-Sequence1
EndoNeRF
11.192
0.626
0.824
0.401
30.472
64.341
0.602
0.301
0.589
EndoSurf
23.767
0.689
0.714
7.182
740.954
62.653
0.962
0.258
0.494
ForPlane
27.026
0.811
0.552
0.825
24.607
49.890
0.622
0.283
0.603
DDS-SLAM
22.315
0.739
0.643
0.443
28.178
40.461
0.594
0.364
0.623
ENeRF-SLAM
19.661
0.757
0.609
0.499
31.652
44.688
0.700
0.298
0.582
Table 5: Quantitative comparison of various methods on the EndoMapper dataset. Columns highlighted in xx indicate that higher values are better, while those highlighted in xx indicate that lower values are better. The best results are shown in bold , and the second-best results are underlined .
Figure 6: Qualitative comparison of appearance (RGB) and geometric (depth) reconstruction results produced by Local-EndoGS and existing methods on deformable scenes from the EndoMapper dataset. Our method produces more accurate and visually consistent results for both appearance and depth, with fewer artifacts and better delineation of anatomical structures compared to existing approaches.
Method
EndoNeRF dataset
StereoMIS dataset
Train Time
Rendering Speed
Train Time
Rendering Speed
EndoNeRF
∼ 8 h
0.18 fps
∼ 18 h
0.13 fps
EndoSurf
∼ 8 h
0.18 fps
∼ 10 h
0.26 fps
Forplane
3.00 min
1.40 fps
2.80 min
1.30 fps
Endo-GS
4.43 min
118.50 fps
6.55 min
85.33 fps
Deform3DGS
1.39 min
354.80 fps
3.28 min
202.17 fps
Table 6: Training Time and Rendering Speed on Different Datasets
Method
PSNR
SSIM
Abs Rel
Sq Rel
RMSE
RMSE log
δ<1.25
δ<1.252
FPS
Progressive Window-based Global Scene Representation (PWGSR)
w/o windows
21.76
0.713
1.105
38.888
32.925
0.692
0.354
0.617
306
w/o AWP
31.09
0.910
0.137
4.621
9.674
0.170
0.891
0.949
325
Local Canonical Space Initialization (LCSI)
w SD
31.77
0.923
0.124
3.765
9.249
0.153
0.917
0.975
325
w/o LCSI
28.38
0.885
0.296
9.858
18.794
0.426
0.657
0.814
325
Table 7: Ablation Studies of Different Model Components on the StereoMIS dataset.
Figure 7: Qualitative comparison of ablation results for RGB reconstruction (top row) and depth estimation (bottom row). (a) Without local windows; (b) Without local canonical space initialization (LCSI); (c) Full model; (d) Reference.
Figure 8: Visual ablation study on the impact of Physics-Based Regularization (PBR). The top row shows the rendering results of the model without PBR ( w/o PBR ), while the bottom row presents the outputs of the full model . Regions highlighted in yellow indicate areas where the absence of PBR leads to visual artifacts, demonstrating that PBR helps preserve structural consistency and anatomical fidelity.
Method
PSNR
Abs Rel
RMSE
Train Time
w/o Depth Sup.
31.49
0.129
9.271
8.46 min
w/ Depth Sup.
31.41
0.128
9.293
9.92 min
Table 8: Effect of Monocular Depth Supervision
Figure 9: Illustrations of the performance comparison with different hyperparameter configurations on the StereoMIS dataset.
Reconstructing surgical scenes from monocular endoscopic video is critical for advancing robotic-assisted surgery. However, the application of state-of-the-art general-purpose reconstruction models is constrained by two key challenges: the lack of supervised training data and performance degradation over long video sequences. To overcome these limitations, we propose SurgCUT3R, a systematic framework that adapts unified 3D reconstruction models to the surgical domain. Our contributions are threefold. First, we develop a data generation pipeline that exploits public stereo surgical datasets to produce large-scale, metric-scale pseudo-ground-truth depth maps, effectively bridging the data gap. Second, we propose a hybrid supervision strategy that couples our pseudo-ground-truth with geometric self-correction to enhance robustness against inherent data imperfections. Third, we introduce a hierarchical inference framework that employs two specialized models to effectively mitigate accumulated pose drift over long surgical videos: one for global stability and one for local accuracy. Experiments on the SCARED and StereoMIS datasets demonstrate that our method achieves a competitive balance between accuracy and efficiency, delivering near state-of-the-art but substantially faster pose estimation and offering a practical and effective solution for robust reconstruction in surgical environments. Project page: https://chumo-xu.github.io/SurgCUT3R-ICRA26/.
Kaiyuan Xu, Fangzhou Hong, Daniel Elson +1
The Hamlyn Centre for Robotic Surgery, Imperial College London, SW7 2AZ, UK. · S-Lab, College of Computing and Data Science, Nanyang Technological University, Singapore 639798. · Department of Computer Science, University of Liverpool, L69 7ZX, UK.
Dynamic endoscopic reconstruction is fundamental to robotic surgery and computer-assisted interventions. While 3D Gaussian Splatting (3DGS) realises real-time rendering, its application to deformable intraoperative environments remains constrained by spurious geometry and varying illuminations. To address these limitations, we introduce EndoPrior-GS, a novel pipeline that explicitly couples frame-extracted vision heuristics and estimated depth maps. EndoPrior-GS derives a joint texture prior from a tool-filtered valid tissue mask, a non-specular photometric filter, and anatomical structural salience, yielding a probability map that guides primitive initialisation and subsequent density control. The prior is further extended to the temporal domain through a texture-aware term that dynamically weighs pairwise primitive contributions during training. We conduct extensive experiments on benchmark datasets EndoNeRF and SCARED, and the obtained results show that our method EndoPrior-GS reduces Flow Error by 27.7% and 25.8% over the representative approaches while preserving competitive rendering quality and real-time rendering speed. Our project website is available at https://jiaqi-huang-77.github.io/EndoPrior-GS/.
Jiaqi Huang, Shidong Wang, Tong Xin +1
School of Engineering, Newcastle University, Newcastle upon Tyne NE1 7RU, UK · School of Computing, Newcastle University, Newcastle upon Tyne NE4 5TG, UK
Visual simultaneous localization and mapping (V-SLAM) is a fundamental capability for autonomous perception and navigation. However, endoscopic scenes violate the rigidity assumption due to persistent soft-tissue deformations, creating a strong coupling ambiguity between camera ego-motion and intrinsic deformation. Although recent monocular non-rigid SLAM methods have made notable progress, they often lack effective decoupling mechanisms and rely on sparse or low-fidelity scene representations, which leads to tracking drift and limited reconstruction quality. To address these limitations, we propose NRGS-SLAM, a monocular non-rigid SLAM system for endoscopy based on 3D Gaussian Splatting. To resolve the coupling ambiguity, we introduce a deformation-aware 3D Gaussian map that augments each Gaussian primitive with a learnable deformation probability, optimized via a Bayesian self-supervision strategy without requiring external non-rigidity labels. Building on this representation, we design a deformable tracking module that performs robust coarse-to-fine pose estimation by prioritizing low-deformation regions, followed by efficient per-frame deformation updates. A carefully designed deformable mapping module progressively expands and refines the map, balancing representational capacity and computational efficiency. In addition, a unified robust geometric loss incorporates external geometric priors to mitigate the inherent ill-posedness of monocular non-rigid SLAM. Extensive experiments on multiple public endoscopic datasets demonstrate that NRGS-SLAM achieves more accurate camera pose estimation (up to 50% reduction in RMSE) and higher-quality photo-realistic reconstructions than state-of-the-art methods. Comprehensive ablation studies further validate the effectiveness of our key design choices. Source code will be publicly available upon paper acceptance.
Jiwei Shan, Zeyu Cai, Yirui Li +5
Department of Mechanical and Automation Engineering and T Stone Robotics Institute, The Chinese University of Hong Kong, Hong Kong. · School of Automation and Intelligent Sensing, the State Key Laboratory of Avionics Integration and Aviation System of-Systems Synthesis, and Shanghai Key Laboratory of Navigation and Location Based Services, Shanghai Jiao Tong University, Shanghai 200240, China