# Novel Deep Level Image State Ensemble Enhancement Method for M87 Imaging
## 3 Materials and Methods
In this section, we shall demonstrate the results of this study. In the proposed ISEE research, Algorithm 1 was performed on a postprocessed SST image inset. The chromatically ordered image was obtained from NASA/JPL-Caltech/IPAC [18], and a crop of the M87 image was taken from an 11.1 MB Tagged Image Format (TIF) file, \"ssc2019-05b.tif\", available online at [19]. The image file had a resolution of \(3580\times 3580\) pixels prior to being cropped. The cropped test image was 322 KB in size and had a resolution of \(730\times 733\) pixels. GIMP 2.10.14 was used to crop the image and it was saved as a lossless Portable Network Graphics file (PNG). Another tighter crop was taken to more clearly see the structures in the vicinity of M87's IR core. The second crop had a resolution of \(104\times 104\) pixels, and the file size was 7.33 KB. The nominal values of the red, green, and blue channels were mapped from the infrared radiation wavelengths of 8.0, 4.5, and 3.5 \(\upmu\)m, respectively [18]. The overlay images in Appendix A were constructed from combinations of different L6 ISEE images from the larger crop and a second L6 ISEE-generated image taken from the HST. The original HST TIFF file, \"heic0815.tif\", had a resolution \(3854\times 3815\), was 20.8 MB, and can be found online at [19]. The nominal values of the red, green, and blue channels were mapped from visible and infrared radiation wavelengths of 475, 606, and 814 nm, respectively [19]. The hardware configuration consisted of a standard gaming laptop with an Intel i7-8750H processor, 32 GB of RAM, and an NVidia GeForce GTX 1060 graphics processing unit. Matlab 2019a and Matlab 2020a were used to implement the algorithms. In general, the information contained in the ISED image is shifted to the ISED filter as the levels of decomposition increase. Figure 1a is the original cropped image of the postprocessed insert taken from the SST [18]. Figure 1b is the first level of decomposition S\({}_{1,63}\), created in the previous study of ISED decomposition [1]. Figure 1c is the L2 ISED image of S\({}_{2,63}\). Figure 1d is the L3 ISED image of S\({}_{3,63}\) and Figure 1e-g are the deep L4, L5, and L6 ISED images S\({}_{4,63}\), S\({}_{5,63}\), and S\({}_{6,63}\), respectively. The images  
Figure 1: The original cropped inset image (**a**) and images of the Image State Ensemble Decomposition (ISED) decomposition levels (Lns) 1–6 S\({}_{\text{m},63}\), where m = 1–6. ISED state 63 first level decomposition \(\text{S}_{1,63}\) (**b**). ISED images S\({}_{2,63}\) (**c**), S\({}_{3,63}\) (**d**), S\({}_{4,63}\) (**e**), S\({}_{5,63}\) (**f**), and S\({}_{6,63}\) (**g**). in Figure 1b-g are used in the creation of the proposed ISEE image reconstruction (S\({}_{m,63}\) images for Ln). I will reiterate that this ensemble state configuration was chosen for reconstruction; the reason is that the 63 rd state ISED filter for all Ln has the maximum information removed from the image than all other states to avoid overlapping image data. This happens to be fortuitous because as Ln increases, the ISED filter (S\({}^{-}\)m\({}_{m,n}\)) information increases proportionally. One must first process deep Ln ISED images and filters in order to obtain ISEE images. The cropped overlay image, Figure 2 plays a key role in the physical analysis for select deep Ln ISED and ISEE reconstrctions. This analysis will be covered in greater detail in the Conclusion. For the images in Figure 3a-l, you have both Ln ISED and ISEE reconstructions. The Ln ISED images are on the left side, and the corresponding Ln ISEE reconstructions are on the right. Some interesting features stand out in this set of images. First, the Ln ISED images for S\({}_{m,30}\) m = 1\(\sim\)6 remove the blues and the reds as the Ln increases. S\({}_{6,30}\) retains the edges of the outer IR dust ring, the IR core, and the IR shockwave structures that are produced by the superluminal jets. The counter-jet channel to the west of the IR core becomes visible.