build based on 34e7570

previews/PR74/.documenter-siteinfo.json

@@ -1 +1 @@
-{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-06T17:46:54","documenter_version":"1.2.1"}}
+{"documenter":{"julia_version":"1.10.1","generation_timestamp":"2024-02-24T10:21:37","documenter_version":"1.2.1"}}

previews/PR74/gettingStarted/index.html

@@ -8,4 +8,4 @@
 y = A*vec(I)</code></pre><p>To recover the image, we solve the TV-regularized least squares problem</p><p class="math-container">\[\begin{equation}
   \underset{\mathbf{x}}{argmin} \frac{1}{2}\vert\vert \mathbf{A}\mathbf{x}-\mathbf{y} \vert\vert_2^2 + λTV(\mathbf{x}) .
 \end{equation}\]</p><p>For this purpose we build a TV regularizer with regularization parameter <span>$λ=0.01$</span></p><pre><code class="language-julia hljs">reg = TVRegularization(0.01; shape=(N,N))</code></pre><p>To solve the CS problem, the Alternating Direction Method of Multipliers can be used. Thus, we build the corresponding solver</p><pre><code class="language-julia hljs">solver = createLinearSolver(ADMM, A; reg=reg, ρ=0.1, iterations=20)</code></pre><p>and apply it to our measurement</p><pre><code class="language-julia hljs">Ireco = solve!(solver,y)
-Ireco = reshape(Ireco,N,N)</code></pre><p>The original phantom and the reconstructed image are shown below</p><p><img src="../assets/sh.png" alt="Phantom"/> <img src="../assets/sh_tv.png" alt="Reconstruction"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><a class="docs-footer-nextpage" href="../solvers/">Solvers »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Tuesday 6 February 2024 17:46">Tuesday 6 February 2024</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+Ireco = reshape(Ireco,N,N)</code></pre><p>The original phantom and the reconstructed image are shown below</p><p><img src="../assets/sh.png" alt="Phantom"/> <img src="../assets/sh_tv.png" alt="Reconstruction"/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><a class="docs-footer-nextpage" href="../solvers/">Solvers »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Saturday 24 February 2024 10:21">Saturday 24 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

previews/PR74/index.html

@@ -1,3 +1,3 @@
 <!DOCTYPE html>
 <html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · RegularizedLeastSquares.jl</title><meta name="title" content="Home · RegularizedLeastSquares.jl"/><meta property="og:title" content="Home · RegularizedLeastSquares.jl"/><meta property="twitter:title" content="Home · RegularizedLeastSquares.jl"/><meta name="description" content="Documentation for RegularizedLeastSquares.jl."/><meta property="og:description" content="Documentation for RegularizedLeastSquares.jl."/><meta property="twitter:description" content="Documentation for RegularizedLeastSquares.jl."/><meta property="og:url" content="https://github.com/JuliaImageRecon/RegularizedLeastSquares.jl/"/><meta property="twitter:url" content="https://github.com/JuliaImageRecon/RegularizedLeastSquares.jl/"/><link rel="canonical" href="https://github.com/JuliaImageRecon/RegularizedLeastSquares.jl/"/><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.050/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="search_index.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>RegularizedLeastSquares.jl</a></span></div><button class="docs-search-query input is-rounded is-small is-clickable my-2 mx-auto py-1 px-2" id="documenter-search-query">Search docs (Ctrl + /)</button><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a><ul class="internal"><li><a class="tocitem" href="#Introduction"><span>Introduction</span></a></li><li><a class="tocitem" href="#Installation"><span>Installation</span></a></li><li><a class="tocitem" href="#Usage"><span>Usage</span></a></li></ul></li><li><a class="tocitem" href="gettingStarted/">Getting Started</a></li><li><a class="tocitem" href="solvers/">Solvers</a></li><li><a class="tocitem" href="regularization/">Regularization</a></li><li><span class="tocitem">API</span><ul><li><a class="tocitem" href="API/solvers/">Solvers</a></li><li><a class="tocitem" href="API/regularization/">Regularization Terms</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/JuliaImageRecon/RegularizedLeastSquares.jl/blob/master/docs/src/index.md#" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="RegularizedLeastSquares.jl"><a class="docs-heading-anchor" href="#RegularizedLeastSquares.jl">RegularizedLeastSquares.jl</a><a id="RegularizedLeastSquares.jl-1"></a><a class="docs-heading-anchor-permalink" href="#RegularizedLeastSquares.jl" title="Permalink"></a></h1><p><em>Solvers for Linear Inverse Problems using Regularization Techniques</em></p><h2 id="Introduction"><a class="docs-heading-anchor" href="#Introduction">Introduction</a><a id="Introduction-1"></a><a class="docs-heading-anchor-permalink" href="#Introduction" title="Permalink"></a></h2><p>RegularizedLeastSquares.jl is a Julia package for solving large scale linear systems using different types of algorithms. Ill-conditioned problems arise in many areas of practical interest. To solve these problems, one often resorts to regularization techniques and non-linear problem formulations. This packages provides implementations for a variety of solvers, which are used in fields such as MPI and MRI.</p><p>The implemented methods range from the <span>$l_2$</span>-regularized CGNR method to more general optimizers such as the Alternating Direction of Multipliers Method (ADMM) or the Split-Bregman method.</p><p>For convenience, implementations of popular regularizers, such as <span>$l_1$</span>-regularization and TV regularization, are provided. On the other hand, hand-crafted regularizers can be used quite easily. For this purpose, a <code>Regularization</code> object needs to be build. The latter mainly contains the regularization parameter and a function to calculate the proximal map of a given input.</p><p>Depending on the problem, it becomes unfeasible to store the full system matrix at hand. For this purpose, RegularizedLeastSquares.jl allows for the use of matrix-free operators. Such operators can be realized using the interface provided by the package <a href="https://github.com/JuliaSmoothOptimizers/LinearOperators.jl">LinearOperators.jl</a>. Other interfaces can be used as well, as long as the product <code>*(A,x)</code> and the adjoint <code>adjoint(A)</code> are provided. A number of common matrix-free operators are provided by the package <a href="https://github.com/JuliaImageRecon/LinearOperatorCollection.jl">LinearOperatorColection.jl</a>.</p><h2 id="Installation"><a class="docs-heading-anchor" href="#Installation">Installation</a><a id="Installation-1"></a><a class="docs-heading-anchor-permalink" href="#Installation" title="Permalink"></a></h2><p>Within Julia, use the package manager:</p><pre><code class="language-julia hljs">using Pkg
-Pkg.add(&quot;RegularizedLeastSquares&quot;)</code></pre><p>This adds the latest release of the package is added. To install a different version, please consult the <a href="https://pkgdocs.julialang.org/dev/managing-packages/#Adding-packages">Pkg documentation</a>.</p><h2 id="Usage"><a class="docs-heading-anchor" href="#Usage">Usage</a><a id="Usage-1"></a><a class="docs-heading-anchor-permalink" href="#Usage" title="Permalink"></a></h2><ul><li>See <a href="gettingStarted/#Getting-Started">Getting Started</a> for an introduction to using the package</li></ul></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="gettingStarted/">Getting Started »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Tuesday 6 February 2024 17:46">Tuesday 6 February 2024</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+Pkg.add(&quot;RegularizedLeastSquares&quot;)</code></pre><p>This adds the latest release of the package is added. To install a different version, please consult the <a href="https://pkgdocs.julialang.org/dev/managing-packages/#Adding-packages">Pkg documentation</a>.</p><h2 id="Usage"><a class="docs-heading-anchor" href="#Usage">Usage</a><a id="Usage-1"></a><a class="docs-heading-anchor-permalink" href="#Usage" title="Permalink"></a></h2><ul><li>See <a href="gettingStarted/#Getting-Started">Getting Started</a> for an introduction to using the package</li></ul></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="gettingStarted/">Getting Started »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Saturday 24 February 2024 10:21">Saturday 24 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

previews/PR74/regularization/index.html

@@ -36,4 +36,4 @@
 
 julia> foreach(r -> println(nameof(typeof(r))), reg)
 TransformedRegularization
-L1Regularization</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../solvers/">« Solvers</a><a class="docs-footer-nextpage" href="../API/solvers/">Solvers »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Tuesday 6 February 2024 17:46">Tuesday 6 February 2024</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+L1Regularization</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../solvers/">« Solvers</a><a class="docs-footer-nextpage" href="../API/solvers/">Solvers »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Saturday 24 February 2024 10:21">Saturday 24 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>