# Changed Detection Based on Patch Robust Principal Component Analysis
## 3 Methodology
### Algorithm and Flow Chart
The main advantage of P-RPCA lies in that P-RPCA can reduce the distraction of the local flare or random light spot to a certain extent further. Choosing the appropriate size of patches to divide the sequence is an important factor to determine the performance of change detection. How to choose the patch size and stride is the next research work in the future. Conceptualization, Y.F. ; Data curation, X.Z. ; Formal analysis, Z.Z. ; Funding acquisition, Y.F. ; Methodology, Y.F. ; Project administration, Y.F. ; Software, W.Z. ; Validation, W.Z. and X.Z. ; Visualization, Z.Z. ; Writing--original draft, W.Z. ; Writing--review & editing, Z.Z., X.Z. and Y.F. All authors have read and agreed to the published version of the manuscript. This research was funded by Open Project Foundation of Intelligent Information Processing Key Laboratory of Shanxi Province OF funder grant number CICIP2021003. Not applicable. The authors declare no conflict of interest. ## References

* [PERSON] et al. (2009) [PERSON]; [PERSON]; [PERSON], [PERSON]. Computer-based detection of diabetes retinopathy stages using digital fundus images. _Proc. Inst. Mech. Eng._**2009**, _223_, 545-553 [CrossRef] [PubMed]
* [PERSON] et al. (2013) [PERSON], [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Computer-aided diagnosis of diabetic retinopathy: A review. _Comput. Biol. Mod._**2013**, _43_, 2136-2155, [CrossRef] [PubMed]
* [PERSON] et al. (2012) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Algorithms for the Automated Detection of Diabetic Retinopathy Using Digital Fundus Images: A Review. _J. Med. Syst._**2012**, _36_, 145-157. [CrossRef] [PubMed]
* [PERSON] et al. (2009) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Algorithms for digital image processing in diabetic retinopathy. _Comput. Med. Imaging Graph._**2009**, _33_, 608-622. [CrossRef]

\[TPR =\frac{TP}{TP+FN} \tag{12}\]3 Influence of patch size on detection results in the P-RPCA method for the image pair with small lesions. (**a**) Patch size = 50; (**b**) patch size = 100; (**c**) patch size = 200; and (**d**) patch size = 300. [PERSON]; [PERSON]; [PERSON]; [PERSON] Image change detection algorithms: A systematic survey. _IEEE Trans. Image Process._**2005**, _14_, 294-307. [CrossRef]
* _[PERSON] et al. (2014)_ [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] A novel video dataset for change detection benchmarking. _IEEE Trans. Image Process._**2014**, _23_, 4663-4679. [CrossRef] [PubMed]
* _[PERSON] et al. (2018)_ [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Active Camera Relocalization from a Single Reference Image without Hand-Eye Calibration. _IEEE Trans. Pattern Anal. Mach. Intell._**2018**, _41_, 2791-2806. [CrossRef]
* _[PERSON] et al. (2010)_ [PERSON]; [PERSON]; [PERSON] Retinal imaging and image analysis. _IEEE Rev. Biomed. Eng._**2010**, \(3\), 169-208. [CrossRef]
* _[PERSON] et al. (2006)_ [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Retinal image analysis: Concepts, applications and potential. _Prog. Retin. Eye Res._**2006**, \(1\), 99-127. [CrossRef] [PubMed]
* _[PERSON] et al. (2008)_ [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Automatic Detection of Longitudinal Changes for Retinal Fundus Images Based on Low-Rank Decomposition. _J. Med. Imaging Health Inform._**2018**, \(8\), 284-294. [CrossRef]
* _[PERSON] et al. (2006)_ [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Robust detection and classification of longitudinal changes in color retinal fundus images for monitoring diabetic retinopathy. _IEEE Trans. Biomed. Eng._**2006**, _53_, 1084-1098. [CrossRef] [PubMed]
* _[PERSON] et al. (2016)_ [PERSON]; [PERSON] [PERSON]; [PERSON]; [PERSON]; [PERSON] Change Detection in Synthetic Aperture Radar Images Based on Deep Neural Networks. _IEEE Trans. Neural Netw. Learn. Syst._**2016**, _27_, 125-138. doi: 10.1109/TNNLS.2015.2435783. [CrossRef] [PubMed]
* _[PERSON] et al. (2022)_ [PERSON]; [PERSON]; [PERSON] Remote Sensing Image Change Detection With Transformers. _IEEE Trans. Geosci.