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Updating registry at `~/.julia/registries/General.toml`  Resolving package versions...  Updating `/tmp/jl_5hzq8y/Project.toml`  [82e4d734] + ImageIO v0.6.9  [6218d12a] + ImageMagick v1.4.2  [916415d5] + Images v0.26.2  Updating `/tmp/jl_5hzq8y/Manifest.toml`  [621f4979] + AbstractFFTs v1.5.0  [79e6a3ab] + Adapt v3.7.2  [66dad0bd] + AliasTables v1.1.3  [ec485272] + ArnoldiMethod v0.4.0  [4fba245c] + ArrayInterface v7.5.1  [13072b0f] + AxisAlgorithms v1.1.0  [39de3d68] + AxisArrays v0.4.7  [62783981] + BitTwiddlingConvenienceFunctions v0.1.6  [fa961155] + CEnum v0.5.0  [2a0fbf3d] + CPUSummary v0.2.6  [aafaddc9] + CatIndices v0.2.2  [d360d2e6] + ChainRulesCore v1.25.1  [9e997f8a] + ChangesOfVariables v0.1.10  [fb6a15b2] + CloseOpenIntervals v0.1.13  [aaaa29a8] + Clustering v0.15.8  [35d6a980] + ColorSchemes v3.29.0  [3da002f7] + ColorTypes v0.12.1  [c3611d14] + ColorVectorSpace v0.11.0  [5ae59095] + Colors v0.13.1  [bbf7d656] + CommonSubexpressions v0.3.1  [34da2185] + Compat v4.16.0  [ed09eef8] + ComputationalResources v0.3.2  [187b0558] + ConstructionBase v1.5.8  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SimpleWeightedGraphs v1.5.0  [45858cf5] + Sixel v0.1.3  [a2af1166] + SortingAlgorithms v1.2.1  [276daf66] + SpecialFunctions v2.5.1  [cae243ae] + StackViews v0.1.2  [aedffcd0] + Static v0.8.9  [0d7ed370] + StaticArrayInterface v1.6.0  [90137ffa] + StaticArrays v1.9.13  [1e83bf80] + StaticArraysCore v1.4.3  [82ae8749] + StatsAPI v1.7.1  [2913bbd2] + StatsBase v0.34.4  [62fd8b95] + TensorCore v0.1.1  [8290d209] + ThreadingUtilities v0.5.5  [731e570b] + TiffImages v0.11.4  [06e1c1a7] + TiledIteration v0.5.0  [3bb67fe8] + TranscodingStreams v0.11.3  [3a884ed6] + UnPack v1.0.2  [3d5dd08c] + VectorizationBase v0.21.71  [e3aaa7dc] + WebP v0.1.3  [efce3f68] + WoodburyMatrices v1.0.0  [f5851436] + FFTW_jll v3.3.11+0  [61579ee1] + Ghostscript_jll v9.55.0+4  [59f7168a] + Giflib_jll v5.2.3+0  [c73af94c] + ImageMagick_jll v7.1.1048+0  [905a6f67] + Imath_jll v3.1.11+0  [1d5cc7b8] + IntelOpenMP_jll v2025.0.4+0  [aacddb02] + JpegTurbo_jll v3.1.1+0  [88015f11] + LERC_jll v3.0.0+1  [7e76a0d4] + Libglvnd_jll v1.7.1+1  [89763e89] + Libtiff_jll v4.5.1+1  [d3a379c0] + LittleCMS_jll v2.16.0+0  [856f044c] + MKL_jll v2025.0.1+1  [18a262bb] + OpenEXR_jll v3.2.4+0  [643b3616] + OpenJpeg_jll v2.5.4+0  [efe28fd5] + OpenSpecFun_jll v0.5.6+0  [ffd25f8a] + XZ_jll v5.8.1+0  [4f6342f7] + Xorg_libX11_jll v1.8.12+0  [0c0b7dd1] + Xorg_libXau_jll v1.0.13+0  [a3789734] + Xorg_libXdmcp_jll v1.1.6+0  [1082639a] + Xorg_libXext_jll v1.3.7+0  [c7cfdc94] + Xorg_libxcb_jll v1.17.1+0  [c5fb5394] + Xorg_xtrans_jll v1.6.0+0  [3161d3a3] + Zstd_jll v1.5.7+1  [b53b4c65] + libpng_jll v1.6.49+0  [075b6546] + libsixel_jll v1.10.5+0  [c5f90fcd] + libwebp_jll v1.4.0+0  [1317d2d5] + oneTBB_jll v2022.0.0+0  [0dad84c5] + ArgTools  [56f22d72] + Artifacts  [2a0f44e3] + Base64  [ade2ca70] + Dates  [8ba89e20] + Distributed  [f43a241f] + Downloads  [7b1f6079] + FileWatching  [9fa8497b] + Future  [b77e0a4c] + InteractiveUtils  [4af54fe1] + LazyArtifacts  [b27032c2] + LibCURL  [76f85450] + LibGit2  [8f399da3] + Libdl  [37e2e46d] + LinearAlgebra  [56ddb016] + Logging  [d6f4376e] + Markdown  [a63ad114] + Mmap  [ca575930] + NetworkOptions  [44cfe95a] + Pkg  [de0858da] + Printf  [3fa0cd96] + REPL  [9a3f8284] + Random  [ea8e919c] + SHA  [9e88b42a] + Serialization  [1a1011a3] + SharedArrays  [6462fe0b] + Sockets  [2f01184e] + SparseArrays  [10745b16] + Statistics  [4607b0f0] + SuiteSparse  [fa267f1f] + TOML  [a4e569a6] + Tar  [8dfed614] + Test  [cf7118a7] + UUIDs  [4ec0a83e] + Unicode  [e66e0078] + CompilerSupportLibraries_jll  [deac9b47] + LibCURL_jll  [29816b5a] + LibSSH2_jll  [c8ffd9c3] + MbedTLS_jll  [14a3606d] + MozillaCACerts_jll  [4536629a] + OpenBLAS_jll  [05823500] + OpenLibm_jll  [83775a58] + Zlib_jll  [8e850b90] + libblastrampoline_jll  [8e850ede] + nghttp2_jll  [3f19e933] + p7zip_jll  Resolving package versions...  Updating `/tmp/jl_5hzq8y/Project.toml`  [7f904dfe] + PlutoUI v0.7.64  Updating `/tmp/jl_5hzq8y/Manifest.toml`  [6e696c72] + AbstractPlutoDingetjes v1.3.2  [47d2ed2b] + Hyperscript v0.0.5  [ac1192a8] + HypertextLiteral v0.9.5  [b5f81e59] + IOCapture v0.2.5  [682c06a0] + JSON v0.21.4  [6c6e2e6c] + MIMEs v1.1.0  [69de0a69] + Parsers v2.8.3  [7f904dfe] + PlutoUI v0.7.64  [410a4b4d] + Tricks v0.1.10  [5c2747f8] + URIs v1.5.2 text/plaincell_id$8f3a3e06-e601-11ea-201d-23a204daa10fkwargsidPlutoRunner_d1acb81efileP/home/runner/.julia/packages/Pluto/6smog/src/runner/PlutoRunner/src/io/stdout.jlgroupstdoutlevelLogLevel(-555)running¦outputbodymimetext/plainrootassigneelast_run_timestampAnpersist_js_state·has_pluto_hook_features§cell_id$8f3a3e06-e601-11ea-201d-23a204daa10fdepends_on_disabled_cells§runtime"ǵpublished_object_keysdepends_on_skipped_cells§errored±cell_dependencies$7ff9aa7e-e603-11ea-1955-c7907182b1ecprecedence_heuristic cell_id$7ff9aa7e-e603-11ea-1955-c7907182b1ecdownstream_cells_mapupstream_cells_mapprocess_raw_js_image_data$fb5112f0-e605-11ea-2f00-6d621a6c36a1|>img$7f4b0e1e-7f16-11ea-02d3-7955921a70bdsvd_compress$3d9d9c80-e603-11ea-3845-cf9ee612316fredn$46a589f4-e604-11ea-345f-397b1b0c4f80$46a589f4-e604-11ea-345f-397b1b0c4f80precedence_heuristic cell_id$46a589f4-e604-11ea-345f-397b1b0c4f80downstream_cells_mapn$7ff9aa7e-e603-11ea-1955-c7907182b1ecupstream_cells_mapCoreBase:PlutoRunner.create_bondPlutoRunnerCore.applicable@bindBase.getSlider$a5353288-e601-11ea-09cc-5d049ce1bc93precedence_heuristic cell_id$a5353288-e601-11ea-09cc-5d049ce1bc93downstream_cells_mapunwrap_js_image_data$fb5112f0-e605-11ea-2f00-6d621a6c36a1upstream_cells_mapUInt8:reshape/adjointconjend$4dea78e4-e603-11ea-395c-a34b645dba9eprecedence_heuristiccell_id$4dea78e4-e603-11ea-395c-a34b645dba9edownstream_cells_mapLinearAlgebraupstream_cells_map$7f4b0e1e-7f16-11ea-02d3-7955921a70bdprecedence_heuristic cell_id$7f4b0e1e-7f16-11ea-02d3-7955921a70bddownstream_cells_mapimg$7ff9aa7e-e603-11ea-1955-c7907182b1ecupstream_cells_mapBasePlutoRunner.Base.get@html_str#PlutoRunner.PlutoRunner.create_bondPlutoRunnerBase.Docs.HTML@bindPlutoRunner.Core.applicable$fb5112f0-e605-11ea-2f00-6d621a6c36a1precedence_heuristic cell_id$fb5112f0-e605-11ea-2f00-6d621a6c36a1downstream_cells_mapprocess_raw_js_image_data$7ff9aa7e-e603-11ea-1955-c7907182b1ecupstream_cells_mapunwrap_js_image_data$a5353288-e601-11ea-09cc-5d049ce1bc93RGB$3d9d9c80-e603-11ea-3845-cf9ee612316fprecedence_heuristic cell_id$3d9d9c80-e603-11ea-3845-cf9ee612316fdownstream_cells_mapsvd_compress$7ff9aa7e-e603-11ea-1955-c7907182b1ecupstream_cells_map:Diagonalsvd|>*Gray$548722e2-e601-11ea-3a1f-770d7456c77cprecedence_heuristiccell_id$548722e2-e601-11ea-3a1f-770d7456c77cdownstream_cells_mapPkg$548722e2-e601-11ea-3a1f-770d7456c77c$8f3a3e06-e601-11ea-201d-23a204daa10fupstream_cells_mapPkg$548722e2-e601-11ea-3a1f-770d7456c77cPkg.activatemktempdir$8f3a3e06-e601-11ea-201d-23a204daa10fprecedence_heuristiccell_id$8f3a3e06-e601-11ea-201d-23a204daa10fdownstream_cells_mapImagesPlutoUIupstream_cells_mapPkg.addPkg$548722e2-e601-11ea-3a1f-770d7456c77ccell_execution_order$548722e2-e601-11ea-3a1f-770d7456c77c$8f3a3e06-e601-11ea-201d-23a204daa10f$4dea78e4-e603-11ea-395c-a34b645dba9e$3d9d9c80-e603-11ea-3845-cf9ee612316f$46a589f4-e604-11ea-345f-397b1b0c4f80$7f4b0e1e-7f16-11ea-02d3-7955921a70bd$a5353288-e601-11ea-09cc-5d049ce1bc93$fb5112f0-e605-11ea-2f00-6d621a6c36a1$7ff9aa7e-e603-11ea-1955-c7907182b1eclast_hot_reload_timeshortpathdrawoncanvas.jlprocess_statusreadypathE/home/runner/work/disorganised-mess/disorganised-mess/drawoncanvas.jlpluto_versionv0.19.47last_save_timeAž cell_order$548722e2-e601-11ea-3a1f-770d7456c77c$8f3a3e06-e601-11ea-201d-23a204daa10f$4dea78e4-e603-11ea-395c-a34b645dba9e$3d9d9c80-e603-11ea-3845-cf9ee612316f$46a589f4-e604-11ea-345f-397b1b0c4f80$7ff9aa7e-e603-11ea-1955-c7907182b1ec$7f4b0e1e-7f16-11ea-02d3-7955921a70bd$a5353288-e601-11ea-09cc-5d049ce1bc93$fb5112f0-e605-11ea-2f00-6d621a6c36a1published_objectsnbpkginstall_time_nsinstantiatedòinstalled_versionsterminal_outputsenabled·restart_recommended_msgrestart_required_msgbusy_packageswaiting_for_permission,waiting_for_permission_but_probably_disabled«cell_inputs$7ff9aa7e-e603-11ea-1955-c7907182b1eccell_id$7ff9aa7e-e603-11ea-1955-c7907182b1eccodeGlet i = process_raw_js_image_data(img) svd_compress(i .|> red, n) endmetadatashow_logsèdisabled®skip_as_script«code_folded$46a589f4-e604-11ea-345f-397b1b0c4f80cell_id$46a589f4-e604-11ea-345f-397b1b0c4f80code@bind n Slider(1:20)metadatashow_logsèdisabled®skip_as_script«code_folded$a5353288-e601-11ea-09cc-5d049ce1bc93cell_id$a5353288-e601-11ea-09cc-5d049ce1bc93code2function unwrap_js_image_data(raw_js_image_data) # the raw image data is a long byte array, we need to transform it into something # more "Julian" - something with more _structure_. # The encoding of the raw byte stream is: # every 4 bytes is a single pixel # every pixel has 4 values: Red, Green, Blue, Alpha # (we ignore alpha for this notebook) # So to get the red values for each pixel, we take every 4th value, starting at # the 1st: reds_flat = UInt8.(raw_js_image_data["data"][1:4:end]) greens_flat = UInt8.(raw_js_image_data["data"][2:4:end]) blues_flat = UInt8.(raw_js_image_data["data"][3:4:end]) # but these are still 1-dimensional arrays, nicknamed 'flat' arrays # We will 'reshape' this into 2D arrays: width = raw_js_image_data["width"] height = raw_js_image_data["height"] # shuffle and flip to get it in the right shape reds = reshape(reds_flat, (width, height))' / 255.0 greens = reshape(greens_flat, (width, height))' / 255.0 blues = reshape(blues_flat, (width, height))' / 255.0 (reds=reds, greens=greens, blues=blues) endmetadatashow_logsèdisabled®skip_as_script«code_folded$4dea78e4-e603-11ea-395c-a34b645dba9ecell_id$4dea78e4-e603-11ea-395c-a34b645dba9ecodeusing LinearAlgebrametadatashow_logsèdisabled®skip_as_script«code_folded$7f4b0e1e-7f16-11ea-02d3-7955921a70bdcell_id$7f4b0e1e-7f16-11ea-02d3-7955921a70bdcodeL@bind img html""" """metadatashow_logsèdisabled®skip_as_script«code_folded$fb5112f0-e605-11ea-2f00-6d621a6c36a1cell_id$fb5112f0-e605-11ea-2f00-6d621a6c36a1codefunction process_raw_js_image_data(raw_js_image_data) # we have our 2D array for each color # Let's create a single 2D array, where each value contains the R, G and B value of # that pixel RGB.(unwrap_js_image_data(raw_js_image_data)...) endmetadatashow_logsèdisabled®skip_as_script«code_folded$3d9d9c80-e603-11ea-3845-cf9ee612316fcell_id$3d9d9c80-e603-11ea-3845-cf9ee612316fcodeofunction svd_compress(i, N) 📚 = svd(i) 📚.U[:,1:N] * Diagonal(📚.S[1:N]) * 📚.Vt[1:N,:] .|> Gray endmetadatashow_logsèdisabled®skip_as_script«code_folded$548722e2-e601-11ea-3a1f-770d7456c77ccell_id$548722e2-e601-11ea-3a1f-770d7456c77ccode0begin import Pkg Pkg.activate(mktempdir()) endmetadatashow_logsèdisabled®skip_as_script«code_folded$8f3a3e06-e601-11ea-201d-23a204daa10fcell_id$8f3a3e06-e601-11ea-201d-23a204daa10fcodeUbegin # we will work with the package Images.jl, and to display images on the screen, # we also need ImageIO and ImageMagick Pkg.add(["Images", "ImageIO", "ImageMagick"]) # we also use PlutoUI for some interactivity Pkg.add("PlutoUI") # now that it is installed, we can import it inside out notebook: using Images using PlutoUI endmetadatashow_logsèdisabled®skip_as_script«code_folded«notebook_id$554f4a08-4aa9-11f0-1ed1-6d9dad83eee8in_temp_dir¨metadata