NGRDI-DCNLab: Integrating Spectral Prior and Deformable Convolution for Urban Green Space Extraction from High-Resolution RGB Remote Sensing Imagery
Abstract
1. Introduction
- Spectral Prior-Enhanced Input. The Normalized Green–Red Difference Index (NGRDI) [17], calculated from RGB bands, is introduced as a fourth input channel. This explicitly injects physically interpretable spectral prior knowledge about vegetation into the network, enhancing the model’s fundamental discriminative power between vegetation and non-vegetation features at the source.
- Spatial Geometry-Adaptive Modeling. The decoder of DeepLabV3+ is improved by replacing standard convolutions with Deformable Convolutional Networks (DConv) [18]. This design endows the network with the ability to dynamically adjust the geometric shape of receptive fields, thereby enabling more precise fitting of the irregular and fragmented boundaries and internal structures of UGS.
- Objective-Oriented Dynamic Optimization. A novel dynamic weighted loss function based on NGRDI is innovatively designed. Utilizing the same spectral prior, this function adaptively increases the loss weight for challenging samples, such as those in vegetation–non-vegetation transition zones, during the training process. This guides the model to continuously focus on boundary refinement and the learning of difficult cases, forming a closed-loop feedback from feature input to optimization objective.
2. Datasets
2.1. WHDLD
2.2. UGS-1m_Beijing Dataset
3. Methodology
3.1. Overall Framework
3.2. Detailed Network Architecture
3.2.1. NGRDI-Driven Four-Channel Input
- Inductive Bias from Arithmetic Operations. The core operators of standard CNN are convolution (multiply-accumulate operations) and activation functions [24], which are inherently inefficient at capturing the division operation that defines the NGRDI. Approximating such a non-linear ratio solely through stacked convolutional layers is parameter-inefficient and prone to converging to suboptimal local minima. By explicitly computing NGRDI, the model is endowed with a targeted inductive bias, directly supplying a higher-order non-linear representation of vegetation spectral properties and thus reducing the network’s learning burden;
- Enhancing Feature Discriminability. In urban landscapes, vegetation in the original RGB spectral space is susceptible to confusion with artificial materials such as specific roofs or pavements [25]. The NGRDI, calculated as a normalized difference between the green and red bands, serves to enhance the unique reflectance signature of vegetation. By explicitly providing this index as an input, the model’s ability to distinguish spectrally similar objects (“different objects with similar spectra”) is improved at the data source.
3.2.2. Encoder–Decoder Structure
3.2.3. Deformable Decoder for Boundary Refinement
3.3. Dynamic Weighted Loss
3.3.1. Base Loss Function
3.3.2. Adaptive Loss Function
3.3.3. Three-Phase Dynamic Training Strategy
| Algorithm 1 Three-Stage Dynamic Training Strategy |
| Input: Training samples composed of images and their corresponding segmented ground truth labels{}, total epochs , , spectral weight matrix . |
| Output: Dynamic weights for each pixel across training stages. |
| 1: Initialize current epoch . |
| 2: While do |
| 3: Sample a minibatch from {}; compute prediction probabilities via model forward pass. |
| 4: Determine stage and compute , |
| 5: If then |
| 6: ; |
| 7: else if 0.25 < < 0.85 then |
| 8: ; |
| 9: else |
| 10: ; |
| 11: end if |
| 12: Compute dynamic weight: = 1 + . |
| 13: Train model with weighted loss (using and on the minibatch.) |
| 14: |
| 15: End While |
| 16: Return |
4. Experiments
4.1. Experimental Setup and Evaluation Metrics
4.2. Comparative Analysis of Different Models
4.3. Ablation Experiment
4.4. Comparative Experiments on Deformable Convolutions
4.5. Comparison of Different Visible Vegetation Indices as Fourth Input Channel
4.6. Analysis of NGRDI as Fourth Channel and NGRDI Dynamic Weighted Loss
4.7. Application on the UDD6 Dataset
5. Discussion
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| UGS | urban green spaces |
| RGB | Red–Green–Blue |
| NGRDI-DCNLab | Deformable Convolutional Network Lab |
| NGRDI | Normalized Green–Red Difference Index |
| WHDLD | Wuhan Dense Labeling Dataset |
| UGS-1m_Beijing | The Beijing subset of Urban Green Space-1m dataset |
| UAV | unmanned aerial vehicles |
| UDD6 | Urban Drone Dataset |
| CNN | convolutional neural networks |
| NDVI | Normalized Difference Vegetation Index |
| NIR | near-infrared |
| DConv | Deformable Convolutional Networks |
| DCNNs | deep convolutional neural networks |
| ASPP | Atrous Spatial Pyramid Pooling |
| Loss | total loss |
| OA | Overall Accuracy |
| MPA | Mean Pixel Accuracy |
| MIoU | Mean Intersection over Union |
| FWIoU | Frequency Weighted Intersection over Union |
| P | Precision |
| R | Recall |
| BIoU | Boundary IoU |
| VVI | visible vegetation index |
| EXG | Excess Green Index |
| NGBDI | Normalized Green–Blue Difference Index |
| RGRI | Red–Green Ratio Index |
| GRVI | Green–Red Vegetation Index |
| VDVI | Visible-band Difference Vegetation Index |
Appendix A
| Method | RGB | RGB + NGRDI | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| OA (%) | MPA (%) | MIoU (%) | F1 (%) | FWIoU (%) | OA (%) | MPA (%) | MIoU (%) | F1 (%) | FWIoU (%) | |
| PSPNet | 88.83 | 88.84 | 79.90 | 88.82 | 79.92 | 89.32 | 89.35 | 80.69 | 89.31 | 80.71 |
| DABNet | 89.52 | 89.50 | 81.02 | 89.51 | 81.04 | 89.67 | 89.66 | 81.26 | 89.66 | 81.29 |
| Swin-CFNet | 89.67 | 89.77 | 81.27 | 89.67 | 81.28 | 89.74 | 89.82 | 81.40 | 89.74 | 81.40 |
| SegNet | 90.40 | 90.50 | 82.49 | 90.40 | 82.49 | 90.58 | 90.63 | 82.78 | 90.58 | 82.79 |
| Unet++ | 91.09 | 91.07 | 83.62 | 91.08 | 83.65 | 91.31 | 91.29 | 83.99 | 91.30 | 84.02 |
| DconvLab | 91.13 | 91.12 | 83.69 | 91.12 | 83.71 | 91.60 | 91.60 | 84.49 | 91.59 | 84.50 |
| NGRDI-DCNLab | —— | —— | —— | —— | —— | 91.76 | 91.76 | 84.77 | 91.75 | 84.79 |
| Input | WHDLD | UGS-1m_Beijing | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| OA (%) | MPA (%) | MIoU (%) | F1 (%) | FWIoU (%) | OA (%) | MPA (%) | MIoU (%) | F1 (%) | FWIoU (%) | |
| RGB + RGRI | 91.52 | 91.49 | 84.34 | 91.50 | 84.36 | 88.51 | 86.72 | 77.12 | 86.89 | 79.60 |
| RGB + GRVI | 91.56 | 91.54 | 84.42 | 91.55 | 84.44 | 88.44 | 86.75 | 77.05 | 86.85 | 79.52 |
| RGB + NGRDI | 91.60 | 91.60 | 84.49 | 91.59 | 84.50 | 88.64 | 86.59 | 77.25 | 86.97 | 79.78 |
| RGB + EXG | 91.55 | 91.51 | 84.40 | 91.53 | 84.42 | 88.46 | 86.56 | 77.01 | 86.82 | 79.52 |
| RGB + NGBDI | 91.57 | 91.54 | 84.43 | 91.55 | 84.45 | 88.52 | 86.74 | 77.15 | 86.91 | 79.63 |
| RGB + VDVI | 91.55 | 91.51 | 84.39 | 91.53 | 84.41 | 88.39 | 86.25 | 76.79 | 86.67 | 79.37 |
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| Method | WHDLD | UGS-1m_Beijing | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| OA (%) | MPA (%) | MIoU (%) | F1 (%) | FWIoU (%) | OA (%) | MPA (%) | MIoU (%) | F1 (%) | FWIoU (%) | |
| Baseline | 90.86 | 90.85 | 83.24 | 90.85 | 83.26 | 87.71 | 85.51 | 75.63 | 85.90 | 78.31 |
| Baseline + DConv | 91.13 | 91.12 | 83.69 | 91.12 | 83.71 | 88.10 | 86.00 | 76.32 | 86.36 | 78.92 |
| Baseline + NGRDI | 91.48 | 91.46 | 84.28 | 91.47 | 84.30 | 88.35 | 86.43 | 76.80 | 86.68 | 79.33 |
| Baseline + DConv + NGRDI | 91.60 | 91.60 | 84.49 | 91.59 | 84.50 | 88.64 | 86.59 | 77.25 | 86.97 | 79.78 |
| Baseline + DConv + NGRDI + W | 91.76 | 91.76 | 84.77 | 91.75 | 84.79 | 88.68 | 87.63 | 77.66 | 87.27 | 79.97 |
| Method | WHDLD | UGS-1m_Beijing | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| OA (%) | MPA (%) | MIoU (%) | F1 (%) | FWIoU (%) | BIoU (%) | OA (%) | MPA (%) | MIoU (%) | F1 (%) | FWIoU (%) | BIoU (%) | |
| DeepLabV3+ (ResNet50) | 90.86 | 90.85 | 83.24 | 90.85 | 83.26 | 37.13 | 87.71 | 85.51 | 75.63 | 85.90 | 78.31 | 28.40 |
| DCNLab | 91.13 | 91.12 | 83.69 | 91.12 | 83.71 | 37.96 | 88.10 | 86.00 | 76.32 | 86.36 | 78.92 | 30.26 |
| VVI | Formula | Description |
|---|---|---|
| Excess Green Index (EXG) [38] | Enhances the contrast between green vegetation and other features (e.g., soil, water) for vegetation detection. | |
| Normalized Green–Red Difference Index (NGRDI) [39] | Highlights vegetation information by utilizing the difference between the green and red bands. | |
| Normalized Green–Blue Difference Index (NGBDI) [40] | Reflects vegetation characteristics by calculating the difference between the green and blue bands. | |
| Red–Green Ratio Index (RGRI) [41] | Assesses vegetation health status using the ratio of the red band to the green band. | |
| Green–Red Vegetation Index (GRVI) [42] | Computes the normalized difference between the green and red bands. | |
| Visible-band Difference Vegetation Index (VDVI) [43] | Extracts vegetation information using differences in visible bands (e.g., red, green). |
| Method | WHDLD | UGS-1m_Beijing | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| OA (%) | MPA (%) | MIoU (%) | F1 (%) | FWIoU (%) | OA (%) | MPA (%) | MIoU (%) | F1 (%) | FWIoU (%) | |
| DCNLab (RGB) | 91.13 | 91.12 | 83.69 | 91.12 | 83.71 | 88.10 | 86.00 | 76.32 | 86.36 | 78.92 |
| DCNLab (RGB + NGRDI) | 91.60 | 91.60 | 84.49 | 91.59 | 84.50 | 88.64 | 86.59 | 77.25 | 86.97 | 79.78 |
| NGRDI-DCNLab | 91.76 | 91.76 | 84.77 | 91.75 | 84.79 | 88.68 | 87.63 | 77.66 | 87.27 | 79.97 |
| Method | OA (%) | MPA (%) | MioU (%) | F1 (%) | FWIoU (%) |
|---|---|---|---|---|---|
| Swin-CFNet | 92.42 | 91.55 | 85.43 | 92.12 | 85.83 |
| SegNet | 92.54 | 91.94 | 85.72 | 92.29 | 86.08 |
| PSPNet | 92.94 | 92.35 | 86.44 | 92.71 | 86.78 |
| DABNet | 93.32 | 92.71 | 87.12 | 93.10 | 87.45 |
| Unet++ | 93.32 | 92.80 | 87.14 | 93.11 | 87.45 |
| NGRDI-DCNLab | 93.50 | 92.82 | 87.43 | 93.27 | 87.75 |
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Lin, B.; Du, X.; Man, W.; Song, Z.; Ren, Z.; Nie, Q.; Li, Z.; Zhang, X. NGRDI-DCNLab: Integrating Spectral Prior and Deformable Convolution for Urban Green Space Extraction from High-Resolution RGB Remote Sensing Imagery. Land 2026, 15, 486. https://doi.org/10.3390/land15030486
Lin B, Du X, Man W, Song Z, Ren Z, Nie Q, Li Z, Zhang X. NGRDI-DCNLab: Integrating Spectral Prior and Deformable Convolution for Urban Green Space Extraction from High-Resolution RGB Remote Sensing Imagery. Land. 2026; 15(3):486. https://doi.org/10.3390/land15030486
Chicago/Turabian StyleLin, Baoye, Xiaofeng Du, Wang Man, Zigeng Song, Zhoupeng Ren, Qin Nie, Zongmei Li, and Xinchang Zhang. 2026. "NGRDI-DCNLab: Integrating Spectral Prior and Deformable Convolution for Urban Green Space Extraction from High-Resolution RGB Remote Sensing Imagery" Land 15, no. 3: 486. https://doi.org/10.3390/land15030486
APA StyleLin, B., Du, X., Man, W., Song, Z., Ren, Z., Nie, Q., Li, Z., & Zhang, X. (2026). NGRDI-DCNLab: Integrating Spectral Prior and Deformable Convolution for Urban Green Space Extraction from High-Resolution RGB Remote Sensing Imagery. Land, 15(3), 486. https://doi.org/10.3390/land15030486

