Summary
This paper propose a novel spatial-spectral integrated diffusion model called SSDiff based on subspace decomposition, and its main contributions contain: 1) Considering existing DDPM-based methods have not yet designed models for the discriminative features required in the pansharpening task, SSDiff divide the network into spatial and branches based on subspace decomposition. Additionally, an alternating projection fusion module (APFM) is constructed for SSDiff to transform the process of fusing HrMSI into the fusion process of spatial and spectral components. Tests on four widely used pansharpening datasets demostrate SSDiff can achieve state-of-the-art (SOTA) performance. 2) The frequency modulation inter-branch module is used at the junction of spectral and spatial branches to enrich extracted spatial information with more high-frequency information in the denoising process. 3) The proposed L-BAF method is used to fine-tune the network based on the proposed APFM, where the spatial and spectral branches are updated alternately. This design allows alternately fine-tuning the two branches without increasing the parameter count, enabling the learning of more discriminative features.
Strengths
1) Considering existing DDPM-based methods have not yet designed models for the discriminative features required in the pansharpening task, this paper proposes a novel SSDiff method based on subspace decomposition, which leverages spatial and spectral branches to discriminatively capture global spatial information and spectral features, respectively.
2) And from the perspective of subspace decomposition, an alternating projection fusion module (APFM) is constructed to fuse the captured spatial and spectral components, which is concerned with vector projection.
3) To overcome the problem of uneven distribution of frequency information between two branches in the denoising process, a frequency modulation inter-branch module (FMIM) is designed.
4) Through the proposed LoRA-like branch-wise alternating fine-tuning (L-BAF), SSDiff can further reveal spatial and spectral information not discovered in each branch. And L-BAF is inspired by the idea that subspace decomposition can be generalized into the self-attention mechanism.
5) There are abundant experiments to support the effectiveness of SSDiff from various aspects.
Weaknesses
1) Maybe expression should be pay more attention to, both grammatically and logically. For example, the sentences in line 135 and line 140 are incomplete.
2) This paper claims the fusion result images and error maps of all these methods in Fig. 5, yet it's not the truth. And there lacks concerned descriptions about results on GaoFen-2 full dataset.
3) Paragraph from line 162 to line 167 seems not to be expressed clearly about how eq.(3) and eq.(7) can be generalized into matrix form of the self-attention mechanism as shown in Fig.3.
Questions
1) Why introduce another two features from the features of spatial domain and spectral domain separately?
2) Why choose FFT as the specific way to extract the high-frequency information of the feature map obtained from the spatial branch rather than other methods?
3) The design of FMIM?
Limitations
1) This paper evaluate the effectiveness of the proposed SSDiff over pansharpening task and will extend our method to other multispectral fusion tasks.
2) The proposed FMIM can adjust the frequency information between the two branches, but it also introduces additional hyperparameters, increasing the difficulty of fine-tuning during training.
3) The time cost for our approach is higher than other DL-based models, primarily due to the limitation imposed by the large number of sampling steps required in the diffusion model.