{
  "id": 110498,
  "title": "Learning Quaternions",
  "url": "/competitions/3d-object-detection-for-autonomous-vehicles/discussion/110498",
  "author_name": "Rishabh Agrahari",
  "post_date": "2019-09-28T13:07:27.414000",
  "votes": 11,
  "comment_count": 4,
  "views": 0,
  "content": "<p>Hey guys, </p>\n\n<p>As you know, this competition involves a lot of 3D rotations using Quaternions. \nHere are some resources which I found very helpful, you might wanna take a look:</p>\n\n<p>Videos on YouTube:\n<a href=\"https://www.youtube.com/watch?v=3BR8tK-LuB0\">Fantastic Quaternions - Numberphile</a>\n<a href=\"https://www.youtube.com/watch?v=d4EgbgTm0Bg\">Visualizing quaternions (4d numbers) with stereographic projection</a>\n<a href=\"https://www.youtube.com/watch?v=zjMuIxRvygQ\">Quaternions and 3d rotation, explained interactively</a></p>\n\n<p>Do NOT forget to checkout this website:</p>\n\n<p><a href=\"https://eater.net/quaternions\">https://eater.net/quaternions</a></p>\n\n<p>Thanks to Grant Sanderson and Ben Eater</p>\n\n<p>P.S: I think I've kinda understood how we are using quaternions in this competitions, do let me know if you have doubts related to them, I'll try my best to help :)</p>",
  "messages": [
    {
      "id": 635915,
      "postDate": "2019-09-28T13:07:27.413Z",
      "content": "<p>Hey guys, </p>\n\n<p>As you know, this competition involves a lot of 3D rotations using Quaternions. \nHere are some resources which I found very helpful, you might wanna take a look:</p>\n\n<p>Videos on YouTube:\n<a href=\"https://www.youtube.com/watch?v=3BR8tK-LuB0\">Fantastic Quaternions - Numberphile</a>\n<a href=\"https://www.youtube.com/watch?v=d4EgbgTm0Bg\">Visualizing quaternions (4d numbers) with stereographic projection</a>\n<a href=\"https://www.youtube.com/watch?v=zjMuIxRvygQ\">Quaternions and 3d rotation, explained interactively</a></p>\n\n<p>Do NOT forget to checkout this website:</p>\n\n<p><a href=\"https://eater.net/quaternions\">https://eater.net/quaternions</a></p>\n\n<p>Thanks to Grant Sanderson and Ben Eater</p>\n\n<p>P.S: I think I've kinda understood how we are using quaternions in this competitions, do let me know if you have doubts related to them, I'll try my best to help :)</p>",
      "rawMarkdown": "Hey guys, \n\nAs you know, this competition involves a lot of 3D rotations using Quaternions. \nHere are some resources which I found very helpful, you might wanna take a look:\n\nVideos on YouTube:\n[Fantastic Quaternions - Numberphile](https://www.youtube.com/watch?v=3BR8tK-LuB0)\n[Visualizing quaternions (4d numbers) with stereographic projection](https://www.youtube.com/watch?v=d4EgbgTm0Bg)\n[Quaternions and 3d rotation, explained interactively](https://www.youtube.com/watch?v=zjMuIxRvygQ)\n\nDo NOT forget to checkout this website:\n\nhttps://eater.net/quaternions\n\nThanks to Grant Sanderson and Ben Eater\n\nP.S: I think I've kinda understood how we are using quaternions in this competitions, do let me know if you have doubts related to them, I'll try my best to help :)",
      "votes": 11
    },
    {
      "id": 636565,
      "postDate": "2019-09-29T19:33:03.513Z",
      "content": "<p>Those are definitely helpful resources!  I would like to also supply my computer graphics slides from \"Computer Graphics with OpenGL\" by Hearn and Baker in case it is helpful.  I haven't gotten far enough with this project to know yet...  The slides cover transformation matrices for translations, rotations and scaling.  It starts with 2d, but then covers 3d transformations.  It also covers shearing, but I don't know if shearing (or scaling, for that matter) are useful operations for the purpose of this exercise.\nDan McGonigle</p>",
      "rawMarkdown": "Those are definitely helpful resources!  I would like to also supply my computer graphics slides from \"Computer Graphics with OpenGL\" by Hearn and Baker in case it is helpful.  I haven't gotten far enough with this project to know yet...  The slides cover transformation matrices for translations, rotations and scaling.  It starts with 2d, but then covers 3d transformations.  It also covers shearing, but I don't know if shearing (or scaling, for that matter) are useful operations for the purpose of this exercise.\nDan McGonigle",
      "votes": 1
    },
    {
      "id": 636136,
      "postDate": "2019-09-28T21:18:30.750Z",
      "content": "<p>3Blue1Brown is a really fantastic resource, their Essence of Calculus and Linear Algebra series are great too. Hoping they make series on Probability sometime.</p>",
      "rawMarkdown": "3Blue1Brown is a really fantastic resource, their Essence of Calculus and Linear Algebra series are great too. Hoping they make series on Probability sometime.",
      "votes": 2,
      "replies": [
        {
          "id": 636143,
          "postDate": "2019-09-28T21:29:20.440Z",
          "content": "<p>Their essence of linear algebra series blew my mind. It's a must watch for everyone. Even I'm waiting for a probability series too :)</p>",
          "rawMarkdown": "Their essence of linear algebra series blew my mind. It's a must watch for everyone. Even I'm waiting for a probability series too :)",
          "votes": 1
        }
      ]
    },
    {
      "id": 637546,
      "postDate": "2019-10-01T05:27:15.233Z",
      "rawMarkdown": "",
      "isDeleted": true
    }
  ],
  "comments": [
    {
      "id": 636565,
      "author_name": "dpmcgonigle",
      "author_url": "",
      "post_date": "2019-09-29T19:33:03.513000",
      "content": "<p>Those are definitely helpful resources!  I would like to also supply my computer graphics slides from \"Computer Graphics with OpenGL\" by Hearn and Baker in case it is helpful.  I haven't gotten far enough with this project to know yet...  The slides cover transformation matrices for translations, rotations and scaling.  It starts with 2d, but then covers 3d transformations.  It also covers shearing, but I don't know if shearing (or scaling, for that matter) are useful operations for the purpose of this exercise.\nDan McGonigle</p>",
      "votes": 1,
      "replies": []
    },
    {
      "id": 636136,
      "author_name": "Jack Vial",
      "author_url": "",
      "post_date": "2019-09-28T21:18:30.750000",
      "content": "<p>3Blue1Brown is a really fantastic resource, their Essence of Calculus and Linear Algebra series are great too. Hoping they make series on Probability sometime.</p>",
      "votes": 2,
      "replies": [
        {
          "id": 636143,
          "author_name": "Rishabh Agrahari",
          "author_url": "",
          "post_date": "2019-09-28T21:29:20.440000",
          "content": "<p>Their essence of linear algebra series blew my mind. It's a must watch for everyone. Even I'm waiting for a probability series too :)</p>",
          "votes": 1,
          "replies": []
        }
      ]
    },
    {
      "id": 637546,
      "author_name": "",
      "author_url": "",
      "post_date": "2019-10-01T05:27:15.233000",
      "content": "",
      "votes": 0,
      "replies": []
    }
  ],
  "raw_markdown_by_id": {
    "635915": "Hey guys, \n\nAs you know, this competition involves a lot of 3D rotations using Quaternions. \nHere are some resources which I found very helpful, you might wanna take a look:\n\nVideos on YouTube:\n[Fantastic Quaternions - Numberphile](https://www.youtube.com/watch?v=3BR8tK-LuB0)\n[Visualizing quaternions (4d numbers) with stereographic projection](https://www.youtube.com/watch?v=d4EgbgTm0Bg)\n[Quaternions and 3d rotation, explained interactively](https://www.youtube.com/watch?v=zjMuIxRvygQ)\n\nDo NOT forget to checkout this website:\n\nhttps://eater.net/quaternions\n\nThanks to Grant Sanderson and Ben Eater\n\nP.S: I think I've kinda understood how we are using quaternions in this competitions, do let me know if you have doubts related to them, I'll try my best to help :)",
    "636565": "Those are definitely helpful resources!  I would like to also supply my computer graphics slides from \"Computer Graphics with OpenGL\" by Hearn and Baker in case it is helpful.  I haven't gotten far enough with this project to know yet...  The slides cover transformation matrices for translations, rotations and scaling.  It starts with 2d, but then covers 3d transformations.  It also covers shearing, but I don't know if shearing (or scaling, for that matter) are useful operations for the purpose of this exercise.\nDan McGonigle",
    "636136": "3Blue1Brown is a really fantastic resource, their Essence of Calculus and Linear Algebra series are great too. Hoping they make series on Probability sometime.",
    "637546": ""
  }
}