{"id":5079,"date":"2022-08-26T11:25:33","date_gmt":"2022-08-26T05:55:33","guid":{"rendered":"https:\/\/jassweb.com\/solved\/solved-get-3d-coordinates-of-vertices-of-rotated-and-scaled-cuboid-with-scale-center-position-and-rotation-on-all-axis\/"},"modified":"2022-08-26T11:25:33","modified_gmt":"2022-08-26T05:55:33","slug":"solved-get-3d-coordinates-of-vertices-of-rotated-and-scaled-cuboid-with-scale-center-position-and-rotation-on-all-axis","status":"publish","type":"post","link":"https:\/\/jassweb.com\/solved\/solved-get-3d-coordinates-of-vertices-of-rotated-and-scaled-cuboid-with-scale-center-position-and-rotation-on-all-axis\/","title":{"rendered":"[Solved] Get 3D coordinates of vertices of rotated and scaled cuboid with scale, center position and rotation on all axis"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"answer-51484978\" class=\"answer js-answer accepted-answer js-accepted-answer\" data-answerid=\"51484978\" data-parentid=\"51483021\" data-score=\"1\" data-position-on-page=\"1\" data-highest-scored=\"1\" data-question-has-accepted-highest-score=\"1\" itemprop=\"acceptedAnswer\" itemscope itemtype=\"https:\/\/schema.org\/Answer\">\n<div class=\"post-layout\">\n<div class=\"votecell post-layout--left\"><\/div>\n<div class=\"answercell post-layout--right\">\n<div class=\"s-prose js-post-body\" itemprop=\"text\">\n<p>If you are using LWJGL you can also use JOML, in which case the following is <em>probably<\/em> what you <em>might<\/em> want:<\/p>\n<pre class=\"lang-java prettyprint-override\"><code>import org.joml.*;\npublic class CubePositions {\n  public static void main(String[] args) {\n    \/* Cuboid center position *\/\n    float px = 10, py = 0, pz = 0;\n    \/* Euler angles around x, y and z *\/\n    float ax = 0, ay = 0, az = (float) java.lang.Math.PI \/ 2.0f;\n    \/* Scale factor for x, y und z *\/\n    float sx = 1, sy = 3, sz = 1;\n    \/* Build transformation matrix *\/\n    Matrix4f m = new Matrix4f()\n        .translate(px, py, pz) \/\/ &lt;- translate to position\n        .rotateXYZ(ax, ay, az) \/\/ &lt;- rotation about x, then y, then z\n        .scale(sx, sy, sz);    \/\/ &lt;- scale\n    \/* Compute cube corners and print them *\/\n    Vector3f[] corners = new Vector3f[8];\n    for (int i = 0; i &lt; corners.length; i++) {\n      int x = i % 2 * 2 - 1;\n      int y = i \/ 2 % 2 * 2 - 1;\n      int z = i \/ 4 % 2 * 2 - 1;\n      corners[i] = m.transformPosition(x, y, z, new Vector3f());\n      System.out.println(String.format(\n          \"Corner (%+d, %+d, %+d) = %s\",\n          x, y, z, corners[i]));\n    }\n  }\n}\n<\/code><\/pre>\n<p>It computes a transformation matrix <code>M = T * Rx * Ry * Rz * S<\/code> given the center position, Euler rotations around x, then y and then z and the given scaling factors of the unit axes, and then transforms the positions of the unit cube corners by that matrix via <code>P' = M * P<\/code>.<\/p>\n<\/p><\/div>\n<div class=\"mt24\"><\/div>\n<\/div>\n<p>            <span class=\"d-none\" itemprop=\"commentCount\">2<\/span> <\/p><\/div>\n<\/div>\n<p>[ad_2]<\/p>\n<p>solved Get 3D coordinates of vertices of rotated and scaled cuboid with scale, center position and rotation on all axis <\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] If you are using LWJGL you can also use JOML, in which case the following is probably what you might want: import org.joml.*; public class CubePositions { public static void main(String[] args) { \/* Cuboid center position *\/ float px = 10, py = 0, pz = 0; \/* Euler angles around x, y &#8230; <a title=\"[Solved] Get 3D coordinates of vertices of rotated and scaled cuboid with scale, center position and rotation on all axis\" class=\"read-more\" href=\"https:\/\/jassweb.com\/solved\/solved-get-3d-coordinates-of-vertices-of-rotated-and-scaled-cuboid-with-scale-center-position-and-rotation-on-all-axis\/\" aria-label=\"More on [Solved] Get 3D coordinates of vertices of rotated and scaled cuboid with scale, center position and rotation on all axis\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[320],"tags":[739,323,1083,357,829],"class_list":["post-5079","post","type-post","status-publish","format-standard","hentry","category-solved","tag-geometry","tag-java","tag-lwjgl","tag-math","tag-trigonometry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>[Solved] Get 3D coordinates of vertices of rotated and scaled cuboid with scale, center position and rotation on all axis - JassWeb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jassweb.com\/solved\/solved-get-3d-coordinates-of-vertices-of-rotated-and-scaled-cuboid-with-scale-center-position-and-rotation-on-all-axis\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Solved] Get 3D coordinates of vertices of rotated and scaled cuboid with scale, center position and rotation on all axis - JassWeb\" \/>\n<meta property=\"og:description\" content=\"[ad_1] If you are using LWJGL you can also use JOML, in which case the following is probably what you might want: import org.joml.*; 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