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- title: Home
url: /
sublinks:
- title: Meshedit
url: /meshedit
- title: Pathtracer
url: /pathtracer
- title: Animation
url: /animation
docs/_site/animation/index.html 0 → 100644
View file @ fb20ee76
<!DOCTYPE html> <html lang="en-US"> <head> <meta charset="UTF-8"> <meta http-equiv="X-UA-Compatible" content="IE=Edge"> <title>A4: Animation - </title> <link rel="shortcut icon" href="/favicon.ico" type="image/x-icon"> <link rel="stylesheet" href="/assets/css/just-the-docs-default.css"> <script type="text/javascript" src="/assets/js/vendor/lunr.min.js"></script> <script type="text/javascript" src="/assets/js/just-the-docs.js"></script> <meta name="viewport" content="width=device-width, initial-scale=1"> <!-- Begin Jekyll SEO tag v2.7.1 --> <title>A4: Animation</title> <meta name="generator" content="Jekyll v4.2.0" /> <meta property="og:title" content="A4: Animation" /> <meta property="og:locale" content="en_US" /> <meta name="twitter:card" content="summary" /> <meta property="twitter:title" content="A4: Animation" /> <script type="application/ld+json"> {"headline":"A4: Animation","@type":"WebPage","url":"/animation/","@context":"https://schema.org"}</script> <!-- End Jekyll SEO tag --> </head> <body> <svg xmlns="http://www.w3.org/2000/svg" style="display: none;"> <symbol id="svg-link" viewBox="0 0 24 24"> <title>Link</title> <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="feather feather-link"> <path d="M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71"></path><path d="M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71"></path> </svg> </symbol> <symbol id="svg-search" viewBox="0 0 24 24"> <title>Search</title> <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="feather feather-search"> <circle cx="11" cy="11" r="8"></circle><line x1="21" y1="21" x2="16.65" y2="16.65"></line> </svg> </symbol> <symbol id="svg-menu" viewBox="0 0 24 24"> <title>Menu</title> <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="feather feather-menu"> <line x1="3" y1="12" x2="21" y2="12"></line><line x1="3" y1="6" x2="21" y2="6"></line><line x1="3" y1="18" x2="21" y2="18"></line> </svg> </symbol> <symbol id="svg-arrow-right" viewBox="0 0 24 24"> <title>Expand</title> <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="feather feather-chevron-right"> <polyline points="9 18 15 12 9 6"></polyline> </svg> </symbol> <symbol id="svg-doc" viewBox="0 0 24 24"> <title>Document</title> <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="feather feather-file"> <path d="M13 2H6a2 2 0 0 0-2 2v16a2 2 0 0 0 2 2h12a2 2 0 0 0 2-2V9z"></path><polyline points="13 2 13 9 20 9"></polyline> </svg> </symbol> </svg> <div class="side-bar"> <div class="site-header"> <a href="/" class="site-title lh-tight"> </a> <a href="#" id="menu-button" class="site-button"> <svg viewBox="0 0 24 24" class="icon"><use xlink:href="#svg-menu"></use></svg> </a> </div> <nav role="navigation" aria-label="Main" id="site-nav" class="site-nav"> <ul class="nav-list"><li class="nav-list-item"><a href="/" class="nav-list-link">Home</a></li><li class="nav-list-item"><a href="/git/" class="nav-list-link">GitHub Setup</a></li><li class="nav-list-item"><a href="/build/" class="nav-list-link">Building Scotty3D</a></li><li class="nav-list-item"><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/guide/" class="nav-list-link">User Guide</a><ul class="nav-list "><li class="nav-list-item "><a href="/guide/animate_mode/" class="nav-list-link">Animate</a></li><li class="nav-list-item "><a href="/guide/layout_mode/" class="nav-list-link">Layout</a></li><li class="nav-list-item "><a href="/guide/model_mode/" class="nav-list-link">Model</a></li><li class="nav-list-item "><a href="/guide/render_mode/" class="nav-list-link">Render</a></li><li class="nav-list-item "><a href="/guide/rigging_mode/" class="nav-list-link">Rig</a></li><li class="nav-list-item "><a href="/guide/simulate_mode/" class="nav-list-link">Simulate</a></li></ul></li><li class="nav-list-item"><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/meshedit/" class="nav-list-link">A2: MeshEdit</a><ul class="nav-list "><li class="nav-list-item "><a href="/meshedit/halfedge" class="nav-list-link">Halfedge Mesh</a></li><li class="nav-list-item "><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/meshedit/local/" class="nav-list-link">Local Operations</a><ul class="nav-list"><li class="nav-list-item "> <a href="/meshedit/local/edge_flip" class="nav-list-link">Edge Flip Tutorial</a> </li><li class="nav-list-item "> <a href="/meshedit/local/bevel/" class="nav-list-link">Bevelling</a> </li></ul></li><li class="nav-list-item "><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/meshedit/global/" class="nav-list-link">Global Operations</a><ul class="nav-list"><li class="nav-list-item "> <a href="/meshedit/global/catmull/" class="nav-list-link">Catmull-Clark Subdivision</a> </li><li class="nav-list-item "> <a href="/meshedit/global/remesh/" class="nav-list-link">Isotropic Remeshing</a> </li><li class="nav-list-item "> <a href="/meshedit/global/linear/" class="nav-list-link">Linear Subdivision</a> </li><li class="nav-list-item "> <a href="/meshedit/global/loop/" class="nav-list-link">Loop Subdivision</a> </li><li class="nav-list-item "> <a href="/meshedit/global/simplify/" class="nav-list-link">Simplification</a> </li><li class="nav-list-item "> <a href="/meshedit/global/triangulate/" class="nav-list-link">Triangulation</a> </li></ul></li></ul></li><li class="nav-list-item"><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/pathtracer/" class="nav-list-link">A3: Pathtracer</a><ul class="nav-list "><li class="nav-list-item "><a href="/pathtracer/camera_rays" class="nav-list-link">(Task 1) Camera Rays</a></li><li class="nav-list-item "><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/pathtracer/intersecting_objects" class="nav-list-link">(Task 2) Intersections</a><ul class="nav-list"><li class="nav-list-item "> <a href="/pathtracer/ray_triangle_intersection" class="nav-list-link">Ray Triangle Intersection</a> </li><li class="nav-list-item "> <a href="/pathtracer/ray_sphere_intersection" class="nav-list-link">Ray Sphere Intersection</a> </li></ul></li><li class="nav-list-item "><a href="/pathtracer/bounding_volume_hierarchy" class="nav-list-link">(Task 3) BVH</a></li><li class="nav-list-item "><a href="/pathtracer/shadow_rays" class="nav-list-link">(Task 4) Shadow Rays</a></li><li class="nav-list-item "><a href="/pathtracer/path_tracing" class="nav-list-link">(Task 5) Path Tracing</a></li><li class="nav-list-item "><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/pathtracer/materials" class="nav-list-link">(Task 6) Materials</a><ul class="nav-list"><li class="nav-list-item "> <a href="/pathtracer/dielectrics_and_transmission" class="nav-list-link">Dielectrics and Transmission</a> </li></ul></li><li class="nav-list-item "><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/pathtracer/environment_lighting" class="nav-list-link">(Task 7) Environment Lighting</a><ul class="nav-list"><li class="nav-list-item "> <a href="/pathtracer/importance_sampling" class="nav-list-link">Environment Light Importance Sampling</a> </li></ul></li><li class="nav-list-item "><a href="/pathtracer/visualization_of_normals" class="nav-list-link">Visualization of normals</a></li></ul></li><li class="nav-list-item active"><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/animation/" class="nav-list-link active">A4: Animation</a><ul class="nav-list "><li class="nav-list-item "><a href="/animation/splines" class="nav-list-link">Splines</a></li><li class="nav-list-item "><a href="/animation/skeleton_kinematics" class="nav-list-link">Skeleton Kinematics</a></li><li class="nav-list-item "><a href="/animation/skinning" class="nav-list-link">Skinning</a></li><li class="nav-list-item "><a href="/animation/particles" class="nav-list-link">Particles</a></li></ul></li></ul> </nav> <footer class="site-footer"> This site uses <a href="https://github.com/pmarsceill/just-the-docs">Just the Docs</a>, a documentation theme for Jekyll. </footer> </div> <div class="main" id="top"> <div id="main-header" class="main-header"> <div class="search"> <div class="search-input-wrap"> <input type="text" id="search-input" class="search-input" tabindex="0" placeholder="Search " aria-label="Search " autocomplete="off"> <label for="search-input" class="search-label"><svg viewBox="0 0 24 24" class="search-icon"><use xlink:href="#svg-search"></use></svg></label> </div> <div id="search-results" class="search-results"></div> </div> </div> <div id="main-content-wrap" class="main-content-wrap"> <div id="main-content" class="main-content" role="main"> <h1 id="animation-overview"> <a href="#animation-overview" class="anchor-heading" aria-labelledby="animation-overview"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Animation Overview </h1> <p>There are four primary components that must be implemented to support Animation functionality.</p> <p><strong>A4.0</strong></p> <ul> <li><a href="splines">(Task 1) Spline Interpolation</a></li> <li><a href="skeleton_kinematics">(Task 2) Skeleton Kinematics</a></li> </ul> <p><strong>A4.5</strong></p> <ul> <li><a href="skinning">(Task 3) Linear Blend Skinning</a></li> <li><a href="particles">(Task 4) Particle Simulation</a></li> </ul> <p>Each task is described at the linked page.</p> <h2 id="converting-frames-to-video"> <a href="#converting-frames-to-video" class="anchor-heading" aria-labelledby="converting-frames-to-video"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Converting Frames to Video </h2> <p>Additionally, we will ask you to create your own animation. Once you’ve rendered out each frame of your animation, you can combine them into a video by using:</p> <p><code class="language-plaintext highlighter-rouge">ffmpeg -r 30 -f image2 -s 640x360 -pix_fmt yuv420p -i ./%4d.png -vcodec libx264 out.mp4</code></p> <p>You may want to change the default <code class="language-plaintext highlighter-rouge">30</code> and <code class="language-plaintext highlighter-rouge">640x360</code> to the frame rate and resolution you chose to render at.</p> <p>If you don’t have ffmpeg installed on your system, you can get it through most package managers, or you can <a href="https://ffmpeg.org/download.html">download it directly</a>. Alternatively, you may use your preferred video editing tool.</p> </div> </div> <div class="search-overlay"></div> </div> </body> </html>
docs/_site/animation/particles.html 0 → 100644
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<!DOCTYPE html> <html lang="en-US"> <head> <meta charset="UTF-8"> <meta http-equiv="X-UA-Compatible" content="IE=Edge"> <title>Particles - </title> <link rel="shortcut icon" href="/favicon.ico" type="image/x-icon"> <link rel="stylesheet" href="/assets/css/just-the-docs-default.css"> <script type="text/javascript" src="/assets/js/vendor/lunr.min.js"></script> <script type="text/javascript" src="/assets/js/just-the-docs.js"></script> <meta name="viewport" content="width=device-width, initial-scale=1"> <!-- Begin Jekyll SEO tag v2.7.1 --> <title>Particles</title> <meta name="generator" content="Jekyll v4.2.0" /> <meta property="og:title" content="Particles" /> <meta property="og:locale" content="en_US" /> <meta name="twitter:card" content="summary" /> <meta property="twitter:title" content="Particles" /> <script type="application/ld+json"> {"headline":"Particles","@type":"WebPage","url":"/animation/particles","@context":"https://schema.org"}</script> <!-- End Jekyll SEO tag --> </head> <body> <svg xmlns="http://www.w3.org/2000/svg" style="display: none;"> <symbol id="svg-link" viewBox="0 0 24 24"> <title>Link</title> <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="feather feather-link"> <path d="M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71"></path><path d="M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71"></path> </svg> </symbol> <symbol id="svg-search" viewBox="0 0 24 24"> <title>Search</title> <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="feather feather-search"> <circle cx="11" cy="11" r="8"></circle><line x1="21" y1="21" x2="16.65" y2="16.65"></line> </svg> </symbol> <symbol id="svg-menu" viewBox="0 0 24 24"> <title>Menu</title> <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="feather feather-menu"> <line x1="3" y1="12" x2="21" y2="12"></line><line x1="3" y1="6" x2="21" y2="6"></line><line x1="3" y1="18" x2="21" y2="18"></line> </svg> </symbol> <symbol id="svg-arrow-right" viewBox="0 0 24 24"> <title>Expand</title> <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="feather feather-chevron-right"> <polyline points="9 18 15 12 9 6"></polyline> </svg> </symbol> <symbol id="svg-doc" viewBox="0 0 24 24"> <title>Document</title> <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="feather feather-file"> <path d="M13 2H6a2 2 0 0 0-2 2v16a2 2 0 0 0 2 2h12a2 2 0 0 0 2-2V9z"></path><polyline points="13 2 13 9 20 9"></polyline> </svg> </symbol> </svg> <div class="side-bar"> <div class="site-header"> <a href="/" class="site-title lh-tight"> </a> <a href="#" id="menu-button" class="site-button"> <svg viewBox="0 0 24 24" class="icon"><use xlink:href="#svg-menu"></use></svg> </a> </div> <nav role="navigation" aria-label="Main" id="site-nav" class="site-nav"> <ul class="nav-list"><li class="nav-list-item"><a href="/" class="nav-list-link">Home</a></li><li class="nav-list-item"><a href="/git/" class="nav-list-link">GitHub Setup</a></li><li class="nav-list-item"><a href="/build/" class="nav-list-link">Building Scotty3D</a></li><li class="nav-list-item"><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/guide/" class="nav-list-link">User Guide</a><ul class="nav-list "><li class="nav-list-item "><a href="/guide/animate_mode/" class="nav-list-link">Animate</a></li><li class="nav-list-item "><a href="/guide/layout_mode/" class="nav-list-link">Layout</a></li><li class="nav-list-item "><a href="/guide/model_mode/" class="nav-list-link">Model</a></li><li class="nav-list-item "><a href="/guide/render_mode/" class="nav-list-link">Render</a></li><li class="nav-list-item "><a href="/guide/rigging_mode/" class="nav-list-link">Rig</a></li><li class="nav-list-item "><a href="/guide/simulate_mode/" class="nav-list-link">Simulate</a></li></ul></li><li class="nav-list-item"><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/meshedit/" class="nav-list-link">A2: MeshEdit</a><ul class="nav-list "><li class="nav-list-item "><a href="/meshedit/halfedge" class="nav-list-link">Halfedge Mesh</a></li><li class="nav-list-item "><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/meshedit/local/" class="nav-list-link">Local Operations</a><ul class="nav-list"><li class="nav-list-item "> <a href="/meshedit/local/edge_flip" class="nav-list-link">Edge Flip Tutorial</a> </li><li class="nav-list-item "> <a href="/meshedit/local/bevel/" class="nav-list-link">Bevelling</a> </li></ul></li><li class="nav-list-item "><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/meshedit/global/" class="nav-list-link">Global Operations</a><ul class="nav-list"><li class="nav-list-item "> <a href="/meshedit/global/catmull/" class="nav-list-link">Catmull-Clark Subdivision</a> </li><li class="nav-list-item "> <a href="/meshedit/global/remesh/" class="nav-list-link">Isotropic Remeshing</a> </li><li class="nav-list-item "> <a href="/meshedit/global/linear/" class="nav-list-link">Linear Subdivision</a> </li><li class="nav-list-item "> <a href="/meshedit/global/loop/" class="nav-list-link">Loop Subdivision</a> </li><li class="nav-list-item "> <a href="/meshedit/global/simplify/" class="nav-list-link">Simplification</a> </li><li class="nav-list-item "> <a href="/meshedit/global/triangulate/" class="nav-list-link">Triangulation</a> </li></ul></li></ul></li><li class="nav-list-item"><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/pathtracer/" class="nav-list-link">A3: Pathtracer</a><ul class="nav-list "><li class="nav-list-item "><a href="/pathtracer/camera_rays" class="nav-list-link">(Task 1) Camera Rays</a></li><li class="nav-list-item "><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/pathtracer/intersecting_objects" class="nav-list-link">(Task 2) Intersections</a><ul class="nav-list"><li class="nav-list-item "> <a href="/pathtracer/ray_triangle_intersection" class="nav-list-link">Ray Triangle Intersection</a> </li><li class="nav-list-item "> <a href="/pathtracer/ray_sphere_intersection" class="nav-list-link">Ray Sphere Intersection</a> </li></ul></li><li class="nav-list-item "><a href="/pathtracer/bounding_volume_hierarchy" class="nav-list-link">(Task 3) BVH</a></li><li class="nav-list-item "><a href="/pathtracer/shadow_rays" class="nav-list-link">(Task 4) Shadow Rays</a></li><li class="nav-list-item "><a href="/pathtracer/path_tracing" class="nav-list-link">(Task 5) Path Tracing</a></li><li class="nav-list-item "><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/pathtracer/materials" class="nav-list-link">(Task 6) Materials</a><ul class="nav-list"><li class="nav-list-item "> <a href="/pathtracer/dielectrics_and_transmission" class="nav-list-link">Dielectrics and Transmission</a> </li></ul></li><li class="nav-list-item "><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/pathtracer/environment_lighting" class="nav-list-link">(Task 7) Environment Lighting</a><ul class="nav-list"><li class="nav-list-item "> <a href="/pathtracer/importance_sampling" class="nav-list-link">Environment Light Importance Sampling</a> </li></ul></li><li class="nav-list-item "><a href="/pathtracer/visualization_of_normals" class="nav-list-link">Visualization of normals</a></li></ul></li><li class="nav-list-item active"><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/animation/" class="nav-list-link">A4: Animation</a><ul class="nav-list "><li class="nav-list-item "><a href="/animation/splines" class="nav-list-link">Splines</a></li><li class="nav-list-item "><a href="/animation/skeleton_kinematics" class="nav-list-link">Skeleton Kinematics</a></li><li class="nav-list-item "><a href="/animation/skinning" class="nav-list-link">Skinning</a></li><li class="nav-list-item active"><a href="/animation/particles" class="nav-list-link active">Particles</a></li></ul></li></ul> </nav> <footer class="site-footer"> This site uses <a href="https://github.com/pmarsceill/just-the-docs">Just the Docs</a>, a documentation theme for Jekyll. </footer> </div> <div class="main" id="top"> <div id="main-header" class="main-header"> <div class="search"> <div class="search-input-wrap"> <input type="text" id="search-input" class="search-input" tabindex="0" placeholder="Search " aria-label="Search " autocomplete="off"> <label for="search-input" class="search-label"><svg viewBox="0 0 24 24" class="search-icon"><use xlink:href="#svg-search"></use></svg></label> </div> <div id="search-results" class="search-results"></div> </div> </div> <div id="main-content-wrap" class="main-content-wrap"> <nav aria-label="Breadcrumb" class="breadcrumb-nav"> <ol class="breadcrumb-nav-list"> <li class="breadcrumb-nav-list-item"><a href="/animation/">A4: Animation</a></li> <li class="breadcrumb-nav-list-item"><span>Particles</span></li> </ol> </nav> <div id="main-content" class="main-content" role="main"> <h1 id="particle-simulation"> <a href="#particle-simulation" class="anchor-heading" aria-labelledby="particle-simulation"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Particle Simulation </h1> <p>And now for something completely different: physics simulation for particles.</p> <h2 id="ray-traced-physics"> <a href="#ray-traced-physics" class="anchor-heading" aria-labelledby="ray-traced-physics"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Ray traced physics </h2> </div> </div> <div class="search-overlay"></div> </div> </body> </html>
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href="/pathtracer/environment_lighting" class="nav-list-link">(Task 7) Environment Lighting</a><ul class="nav-list"><li class="nav-list-item "> <a href="/pathtracer/importance_sampling" class="nav-list-link">Environment Light Importance Sampling</a> </li></ul></li><li class="nav-list-item "><a href="/pathtracer/visualization_of_normals" class="nav-list-link">Visualization of normals</a></li></ul></li><li class="nav-list-item active"><a href="#" class="nav-list-expander"><svg viewBox="0 0 24 24"><use xlink:href="#svg-arrow-right"></use></svg></a><a href="/animation/" class="nav-list-link">A4: Animation</a><ul class="nav-list "><li class="nav-list-item "><a href="/animation/splines" class="nav-list-link">Splines</a></li><li class="nav-list-item "><a href="/animation/skeleton_kinematics" class="nav-list-link">Skeleton Kinematics</a></li><li class="nav-list-item active"><a href="/animation/skinning" class="nav-list-link active">Skinning</a></li><li class="nav-list-item "><a href="/animation/particles" class="nav-list-link">Particles</a></li></ul></li></ul> </nav> <footer class="site-footer"> This site uses <a href="https://github.com/pmarsceill/just-the-docs">Just the Docs</a>, a documentation theme for Jekyll. </footer> </div> <div class="main" id="top"> <div id="main-header" class="main-header"> <div class="search"> <div class="search-input-wrap"> <input type="text" id="search-input" class="search-input" tabindex="0" placeholder="Search " aria-label="Search " autocomplete="off"> <label for="search-input" class="search-label"><svg viewBox="0 0 24 24" class="search-icon"><use xlink:href="#svg-search"></use></svg></label> </div> <div id="search-results" class="search-results"></div> </div> </div> <div id="main-content-wrap" class="main-content-wrap"> <nav aria-label="Breadcrumb" class="breadcrumb-nav"> <ol class="breadcrumb-nav-list"> <li class="breadcrumb-nav-list-item"><a href="/animation/">A4: Animation</a></li> <li class="breadcrumb-nav-list-item"><span>Skinning</span></li> </ol> </nav> <div id="main-content" class="main-content" role="main"> <h1 id="linear-blend-skinning"> <a href="#linear-blend-skinning" class="anchor-heading" aria-labelledby="linear-blend-skinning"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Linear Blend Skinning </h1> <p>Now that we have a skeleton set up, we need to link the skeleton to the mesh in order to get the mesh to follow the movements of the skeleton. We will implement linear blend skinning using the following functions: <code class="language-plaintext highlighter-rouge">Skeleton::skin()</code>, <code class="language-plaintext highlighter-rouge">Skeleton::find_joints()</code>, and <code class="language-plaintext highlighter-rouge">closest_on_line_segment</code>.</p> <p>The easiest way to do this is to update each of mesh vertices’ positions in relation to the bones (Joints) in the skeleton. There are 3 types of coordinate spaces: bind, joint, and pose. Bind is the initial coordinate frame of the vertices of where they are bound to relative to the mesh. Joint is the position of the vertex relative to a given joint. Pose is the world-space position after the joint transforms have been applied. You’ll want to compute transforms that take vertices in bind space and convert them to posed space (Hint: <code class="language-plaintext highlighter-rouge">joint_to_bind</code>, <code class="language-plaintext highlighter-rouge">joint_to_posed</code>, and <code class="language-plaintext highlighter-rouge">inverse()</code> will come in handy.)</p> <p>Your implementation should have the following basic steps for each vertex:</p> <ul> <li>Compute the vertex’s position with respect to each joint j in the skeleton in j’s coordinate frame when no transformations have been applied to the skeleton (bind pose, vertex bind position).</li> <li>Find where this vertex would end up (in world coordinates) if it were transformed along with bone j.</li> <li>Find the closest point on joint j’s bone segment (axis) and compute the distance to this closest point (Hint: <code class="language-plaintext highlighter-rouge">closest_on_line_segment</code> might come in handy). <ul> <li>Diagram of <code class="language-plaintext highlighter-rouge">closest_on_line_segment</code>:</li> </ul> </li> </ul> <center><img src="task3_media/closest_on_line_segment.png" style="height:280px" /></center> <ul> <li>Compute the resulting position of the vertex by doing a weighted average of the bind-to-posed transforms from each bone and applying it to the vertex. The weights for the weighted average should be the inverse distance to the joint, so closer bones have a stronger influence.</li> </ul> <p>Below we have an equation representation. The ith vertex v is the new vertex position. The weight w is the weight metric computed as the inverse of distance between the ith vertex and the closest point on joint j. We multiply this term with the position of the ith vertex v with respect to joint j after joint’s transformations has been applied.</p> <!--# TODO: fix this--> <!--![skinnning_equations](task3_media/skinning_equations.png)--> <center><img src="task3_media/skinning_eqn1.png" style="height:100px" /> <img src="task3_media/skinning_eqn2.png" style="height:120px" /></center> <p>In Scotty3D, the <code class="language-plaintext highlighter-rouge">Skeleton::skin()</code> function gets called on every frame draw iteration, recomputing all skinning related quantities. In this function, you should read vertices from <code class="language-plaintext highlighter-rouge">input.verts()</code> and indices from <code class="language-plaintext highlighter-rouge">input.indices()</code>, and write the resulting positions and norms to <code class="language-plaintext highlighter-rouge">v.pos</code> and <code class="language-plaintext highlighter-rouge">v.norm</code> for every vertex in the input vertices list.</p> <p>You will be implementing a Capsule-Radius Linear Blend Skin method, which only moves vertices with a joint if they lie in the joint’s radius. The <code class="language-plaintext highlighter-rouge">Skeleton::skin()</code> function also takes in a <code class="language-plaintext highlighter-rouge">map</code> of vertex index to relevant joints that you must compute the above distance/transformation metrics on. You are also responsible for creating this <code class="language-plaintext highlighter-rouge">map</code>, which is done so in <code class="language-plaintext highlighter-rouge">Skeleton::find_joints()</code>. Don’t worry about calling this function, it is called automatically before skin is called, populating the <code class="language-plaintext highlighter-rouge">map</code> field and sending it over to the <code class="language-plaintext highlighter-rouge">skin()</code> function. Your <code class="language-plaintext highlighter-rouge">Skeleton::find_joints()</code> implementation should iterate over all the vertices and add joint j to vertex index i in the map if the distance between the vertex and joint is less than <code class="language-plaintext highlighter-rouge">j-&gt;radius</code> (remember make sure they’re both in the same coordinate frame.)</p> <center><img src="task3_media/skinning.gif" style="height:240px" /></center> </div> </div> <div class="search-overlay"></div> </div> </body> </html>
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