Organizations: Beijing Institute of Technology, Beijing 100081, China. · Big Data and Artificial Intelligence Laboratory, Beijing Institute of Technology Chongqing Innovation Center, Chongqing 401135, China.
Multispectral object detection requires detectors to exploit material-dependent spectral responses while maintaining consistent localization under geometric variations. Existing MOD detectors learn discriminative spectral representations, yet lack a unified mechanism that preserves spectral order, adapts spectral-context fusion across pyramid levels, and regulates geometric responses under rotation. To address these limitations, we propose S3E-Det, a strict spatial-spectral equivariant detector that couples ordered spectral modeling with transformation-consistent prediction. Spectral Order-aware Sampling Calibration (SOSC) imposes local order constraints on input-derived spectral features through first-order variation, while Common-Differential Equivariant Fusion (CDEF) adapts spectral-context aggregation across pyramid levels. A compact Geometric Alignment Head (GAH) reconciles invariant and equivariant output properties within a unified prediction stage. Across MODA, HOD3K, and DroneVehicle, S3E-Det combines high detection accuracy with a compact parameter footprint and reduced rotation-induced variation. Code is available at https://github.com/Riiluo/S3E-Det.
Figures & tables
Fig. 1: (a) Conventional spatial–spectral modeling does not preserve the ordered spectral structure and uses fixed feature fusion. (b) Ordered adaptive modeling preserves spectral order and adapts fusion across feature levels. (c) Strict rotational response consistency makes feature responses transform predictably under exact quarter-turn rotations.
Fig. 2: mAP 50 vs. Params on MODA; bubble area: FLOPs.
Fig. 3: Overall network framework of S 3 E-Det. SOSC blocks perform staged equivariant feature extraction, CDEF conducts multi-scale fusion, and GAH decodes invariant categories and aligned oriented boxes at three scales. (a) Stem maps multispectral inputs into group-indexed feature fields; (b) CDEF separates common context from differential spectral detail before an agreement-gated residual update.
Fig. 4: Structure of the SOSC block. It calibrates ordered spectral responses through neighboring-support slicing, derivative-aware interpolation, residual update, and RE-FFN.
Fig. 5: Illustration of GAH. The head assigns invariant readouts to category scores and canonical distances, while equivariant group-phase decoding produces the aligned object angle.
Methods
Car
Bus
Van
Awn. bike
Truck
Tricycle
Bicycle
Pedestrian
mAP 50↑
mAP 75↑
mAP ↑
#F ↓
#P ↓
two-stage
LSKNet [ 19 ]
90.4
88.5
74.5
72.5
66.0
52.5
41.0
28.2
64.2
42.8
39.4
221.9G
32.6M
O-RCNN [ 18 ]
90.5
89.7
74.6
72.5
66.6
54.7
45.1
30.4
65.5
44.0
40.9
244.7G
55.3M
StripRCNN [ 20 ]
90.5
89.0
76.1
73.6
67.1
56.5
45.2
30.7
66.1
44.0
41.0
231.8G
45.2M
ReDet [ 13 ]
90.6
89.6
76.8
72.9
69.6
52.4
41.5
41.0
66.8
44.1
41.3
245.2G
31.6M
one-stage
R3Det-KLD [ 22 ]
90.4
88.7
74.8
66.6
60.9
42.6
29.8
35.5
61.2
39.4
36.8
306.7G
39.6M
S 2 ANet [ 21 ]
90.4
88.7
74.4
69.1
62.7
48.9
30.1
40.7
63.1
38.7
36.7
216.5G
38.8M
TABLE I: Comparison with representative methods on MODA. † indicates methods originally designed for multispectral object detection.
# Input: pyramid features {Fl}l=35 , group basis {ϑg}
# Output: class logits {pl} and aligned boxes {Bl}
Fig. 6: Visualization comparison of detection results and feature maps obtained by different methods on MODA.
Model
Params (M)
FLOPs (G)
Size (MB)
Peak GPU Mem (GB)
Time (min/epoch)
YOLOv8n
3.2
12.6
5.75
14
10
S 3 E-Det ( C4 )
2.4
35.6
5.43
20
12
TABLE II: Model size and computational resource profile.
Fig. 7: Feature responses of S 3 E-Det: (a) input image; (b)–(d) with/without SOSC, CDEF, and GAH. Yellow / orange dashed ellipses mark enhanced target/suppressed background responses, respectively.
Equiv.
SOSC
CDEF
GAH
mAP 50↑
mAP 75↑
mAP ↑
×
×
×
×
62.0
48.0
43.3
✓
×
×
×
66.8
54.1
47.7
✓
✓
×
×
69.6
55.5
50.0
✓
×
✓
×
68.7
54.9
49.4
✓
×
×
✓
68.3
55.2
49.2
✓
✓
✓
×
71.3
58.3
52.3
TABLE III: Ablation studies on the key components of S 3 E-Det.
Spectral kernel
Residual gate γ
Derivative gate η
mAP 50↑
mAP ↑
1
✓
✓
71.3
52.6
3
✓
✓
72.6
54.0
5
✓
✓
72.4
53.8
7
✓
✓
72.2
53.5
3
×
✓
71.4
52.8
3
✓
×
71.0
52.3
TABLE IV: Hyperparameter ablation of SOSC on MODA.
Reduction ratio
Spatial kernel
Agreement gate
mAP 50↑
mAP ↑
2
3
✓
72.3
53.7
4
3
✓
72.6
54.0
8
3
✓
71.9
53.3
4
5
✓
72.4
53.8
4
3
×
71.6
52.9
TABLE V: Hyperparameter ablation of CDEF on MODA.
Group order
mAP 50↑
mAP 75↑
mAP ↑
Params ↓
FLOPs ↓
C1
62.0
48.0
43.3
0.6M
8.5G
C2
70.8
57.9
51.5
1.2M
17.3G
C4
72.6
59.7
54.0
2.4M
35.6G
C8
72.7
59.8
54.0
5.0M
73.0G
TABLE VI: Ablation of rotation group order on MODA.
Figure 15
Operator
Params ↓ (2,445,776)
FLOPs ↓ (35.60G)
Cumulative eˉC4↓
Local cˉC4↓
L0 Stem (group lift)
2,080
0.54G
0.000000
0.000000
L1 SOSC-1
10,307
2.59G
0.000023
0.000004
L2 Patch merging-1
2,112
0.34G
0.000034
0.000004
L3 SOSC-2
38,883
2.51G
0.000227
0.000004
L4 Patch merging-2
8,320
0.34G
0.000059
0.000001
L5 SOSC-3
151,331
2.46G
0.000509
0.000005
TABLE VII: Layer-wise cost and exact- C4 residuals (mean over three non-identity elements). Means are computed from unrounded residuals; all displayed values lie in [0,1] .
Angle
eint↓
L8 backbone ↓
P3–P5 mean ↓
eraw↓
Decoded OBBs ↓
Post-NMS predictions ↓
30∘
0.013557
0.456471
0.376044
0.348256
0.432972
0.658733
60∘
0.013669
0.547496
0.396743
0.359207
0.456248
0.663884
90∘
0.000000
0.001776
0.001008
0.000890
0.022366
0.024853
120∘
0.013473
0.467767
0.381041
0.336827
0.503154
0.768568
150∘
0.013331
0.533103
0.383906
0.342756
0.451895
0.575583
180∘
0.000000
0.001838
0.001013
0.000934
0.034079
0.033145
TABLE VIII: Angle-resolved implementation conformance on a 30∘ grid. Quarter turns are exact C4 elements; the remaining angles evaluate off-grid rotations. eraw averages classification, canonical DFL, and phase-angle residuals. Mean rows are computed from unrounded residuals; all displayed values lie in [0,1] .
Method
mAP 50↑
mAP 75↑
mAP ↑
FLOPs ↓
Params ↓
CO-DETR
77.9
57.3
51.7
200.7G
64.5M
DINO
89.1
61.6
56.3
114.7G
47.6M
Faster R-CNN
89.4
62.7
56.9
206.7G
41.1M
ATSS
91.2
63.0
57.4
110.6G
32.2M
TOOD
90.3
65.6
57.8
108.5G
32.1M
RepPoints
92.0
65.5
58.4
104.5G
36.9M
TABLE IX: Comparison with state-of-the-art detectors on HOD3K.
Method
Car
Bus
Truck
Fre.
Van
mAP 50↑
mAP ↑
C 2 Former [ 28 ]
90.2
89.8
68.3
64.4
58.5
74.2
47.3
YOLOv8l-RGB [ 29 ]
92.5
91.7
68.8
47.8
50.2
70.2
48.6
YOLOv8l-IR [ 29 ]
93.4
91.9
69.3
53.7
51.1
71.9
49.1
SLBAF-Net [ 32 ]
90.2
89.9
76.0
68.2
59.9
76.8
49.5
CSOM-ODAF [ 33 ]
90.1
89.8
75.6
68.2
61.8
77.1
50.1
CMA [ 34 ]
95.8
93.1
75.9
59.8
59.4
76.8
50.4
TABLE X: Performance comparison on DroneVehicle.
Fig. 10: Detection result comparison on DroneVehicle. Red boxes indicate the ground truth, while green boxes denote the predictions.
Configuration
Mean (ms/image) ↓
FPS ↑
Peak Memory (MiB) ↓
Avg. Board Power (W) ↓
Energy (J/image) ↓
Rotation-group variants
C1
28.2
35.5
82
5.7
0.16
C2
56.0
17.9
168
8.0
0.45
C4
89.3
11.2
312.4
9.2
0.82
C8
181.0
5.5
595
11.2
2.03
Component variants at C4
TABLE XI: Measured FP16 RKNN deployment costs of rotation-group and component variants.
Existing multispectral detectors are limited by discrete spectral processing, a scale-dependent shift in the relative reliability of spectral and spatial cues across pyramid levels, and the lack of explicit rotation-equivariant geometric priors for arbitrarily oriented objects. To tackle these limitations, we propose FressDet, a fully rotation-equivariant spectral-spatial learning framework for multispectral object detection, capable of capturing the continuous, ordered nature of spectral structure and enabling reliable spectral-spatial fusion across pyramid levels under arbitrary in-plane rotations. FressDet integrates three complementary components. Spectral Implicit Warp (SpeIW) enables query-based spectral resampling via a coordinate-conditioned implicit field, yielding a monotone, order-preserving warp. Rotation-Equivariant Consistency Weighting (ReCoW) adaptively fuses spectral and spatial branches based on branch reliability, reinforcing informative cues while suppressing noise across pyramid levels. The oriented-aware head exploits group-indexed features to stably predict oriented objects without parameter replication. Taken together, FressDet learns more discriminative and robust spectral-spatial representations even under rotational perturbations. By achieving state-of-the-art performance with 93% fewer parameters on three public benchmarks, FressDet demonstrates its effectiveness and generalizability.
Multispectral aerial object detection aims to exploit spectral-spatial cues to address object detection challenges in complex aerial scenes. Existing methods mainly focus on spectral-spatial decoupling and object-aware spectral-spatial fusion to improve spectral utilization. However, two critical issues remain underexplored: 1) severe foreground-background imbalance caused by large scene coverage hinders reliable object recognition; 2) aerial objects exhibit substantial local variations in scale, orientation, and structure, which hinder accurate localization. To address these issues, we propose SGLDet, a spectral-aware global-local dynamic modeling framework for multispectral aerial object detection, which is motivated by the observation that object semantics are jointly determined by global spectral consistency and scene context, while precise localization requires dynamic feature modulation conditioned on the input spectral and spatial properties. To realize these properties, SGLDet consists of three coordinated components: a Spectral-driven Global Dynamic Modeling module that aggregates spectrally related features across the scene via similarity-guided sparse matching; a Multi-scale Global Context Integration module that constructs a compact scene memory for scene-guided contextual reasoning; and a Spectral-aware Input-dependent Calibration Aggregation module that performs expert-kernel aggregation with scene-guided spectral-spatial calibration to enable adaptive local feature modulation. Extensive experiments on MODA, HOD3K, and DroneVehicle demonstrate that SGLDet achieves superior performance with competitive computational cost. Code is available at https://github.com/Riiluo/SGLDet.
Peng Zhang, Shuaihao Han, Tingfa Xu +1
Beijing Institute of Technology, Beijing 100081, China · Beijing Institute of Technology, Beijing 100081, China, and also with Chongqing Innovation Center, Beijing Institute of Technology, Chongqing 401135, China
Transformer-based approaches have obtained excellent performance in multispectral object detection tasks due to their ability to model long-range dependencies and capture complementary information. However, previous transformer-based multispectral detection methods tend to use all available tokens for similarity calculation, which results in redundant information interaction from irrelevant areas, leading to degraded detection performance. To overcome this challenge, we propose a novel Dual Sparse Aggregation Transformer (DSAFormer) for multispectral object detection, which consists of a Dual Sparse Transformer (DSFormer) and a Learnable Addition Fusion Block (LAFB). Specifically, the DSFormer is designed to exploit and boost cross-modal complementary information, thereby improving detection performance. It incorporates three key components: A Spatial Sparse Multi-Head Cross-Attention (SSMHCA) mechanism selectively captures cross-modal relationships at the spatial level by reserving only the high query-key similarity scores, eliminating irrelevant interactions. A Channel Sparse Multi-Head Cross-Attention (CSMHCA) mechanism performs similar sparse calculations at the channel level to enhance feature representation and filter out low matching query-key. A Multi-Scale Feature Refinement Layer (MSFRL) is developed to aggregate hierarchical features and suppress redundant information. To effectively fuse multimodal features, the LAFB is introduced to aggregate intramodal and intermodal feature information by feature reweighting. Extensive experimental results have demonstrated that our proposed DSAFormer achieves better detection performance against state-of-the-art methods on four public datasets, including the MFAD, FLIR, M3FD, and LLVIP. The source code of our DSAFormer will be released at https://github.com/WenCongWu/DSAFormer.
Wencong Wu, Xiuwei Zhang, Hanlin Yin +2
School of Computer Science, Northwestern Polytechnical University, Xi’an 710072, China · School of Computer Science, the Shaanxi Provincial Key Laboratory of Speech and Image Information Processing and the National Engineering Laboratory for Integrated Aerospace-Ground-Ocean Big Data Application Technology, Northwestern Polytechnical University, Xi’an 710072, China · School of Cybersecurity, Northwestern Polytechnical University, Xi’an 710072, China