An easy implementation of ray-triangle intersection explained in full with visuals (video)

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There a few ways to to this, but this method is intuitive because of its geometric interpretation.\\n\\nI don't have any direct resources for this as it is what we covered in my college class a few years ago. There are different ways to do this algorithm; GPU hardware does triangle-pixel collision tests differently if I recall correctly. But this method is how I implemented model rendering in my toy ray tracer, so it is robust enough to be used in a ray tracer. If you use this to render large models in a ray tracer, you will likely need to add . \\n\\n\\n\\n\\nCorrections and Statement qualifications:\\n\\nFinding vector length as 3D Pythagorean's theorem:\\nI anticipate someone commenting about the glm::length not being implemented as 3D pythagorean's theorem. In my version of glm, glm::length is implemented like \\\"sqrt(dot(v, v));\\\" where v is the vector.\\nMany already know that if you take the dotproduct of a vector with itself, you get its length squared; so naturally if you take the square root of that you will get the length of the vector. But this can be interpreted as a solving Pythagorean's theorem for length. One way to compute the dot product is x*x + y*y + z*z. 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= function() {yt.player.Application.create("player-api", ytplayer.config, ytplayer.web_player_context_config);ytplayer.config.loaded = true;};(function() {if (!!window.yt && yt.player && yt.player.Application) {ytplayer.load();}}()); Watch Queue Queue Watch QueueQueue Remove all Disconnect The next video is startingstop Loading... Watch Queue Queue __count__/__total__ { "@context": "http://schema.org", "@type": "BreadcrumbList", "itemListElement": [ { "@type": "ListItem", "position": 1, "item": { "@id": "http:\/\/www.youtube.com\/user\/enigma2213322133", "name": "enigma tutorials" } } ] } Find out whyClose Easy ray triangle intersection explained in full enigma tutorials Loading... Unsubscribe from enigma tutorials? Cancel Unsubscribe Working... SubscribeSubscribedUnsubscribe724 Loading... Loading... Working... Add to Want to watch this again later? Sign in to add this video to a playlist. Sign in More Report Need to report the video? Sign in to report inappropriate content. Sign in Transcript Add translations 55 views 4 Like this video? Sign in to make your opinion count. Sign in 5 0 Don't like this video? Sign in to make your opinion count. Sign in 1 Loading... Loading... Transcript The interactive transcript could not be loaded. Loading... Rating is available when the video has been rented. This feature is not available right now. Please try again later. Published on May 9, 2020 Twitter: https://twitter.com/mattstone2728Instagram: https://www.instagram.com/mattstone2728/Please see twitter/channel for my employment disclaimer.SECTIONS:I don't recommend skipping sections, but adding for reference after first watch.Review: 0:40Geometric Interpretation: 7:17Coding: 10:10Algebra(part of of coding section): 11:41Resume coding after algebra: 14:43Video showing how to ray-triangle intersection. There a few ways to to this, but this method is intuitive because of its geometric interpretation.I don't have any direct resources for this as it is what we covered in my college class a few years ago. There are different ways to do this algorithm; GPU hardware does triangle-pixel collision tests differently if I recall correctly. But this method is how I implemented model rendering in my toy ray tracer, so it is robust enough to be used in a ray tracer. If you use this to render large models in a ray tracer, you will likely need to add .Corrections and Statement qualifications:Finding vector length as 3D Pythagorean's theorem:I anticipate someone commenting about the glm::length not being implemented as 3D pythagorean's theorem. In my version of glm, glm::length is implemented like "sqrt(dot(v, v));" where v is the vector.Many already know that if you take the dotproduct of a vector with itself, you get its length squared; so naturally if you take the square root of that you will get the length of the vector. But this can be interpreted as a solving Pythagorean's theorem for length. One way to compute the dot product is x*x + y*y + z*z. So if we square root that, we get sqrt(x*x + y*y +z*z), which is essentially Pythagorean's theorem in 3d.Source code from video:locate function Slide_LiveCoding::liveCodingIntersectionhttps://github.com/mattstone22133/Ope... Category Education Show more Show less Loading... 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disclaimer.\\n\\nSECTIONS:\\nI don't recommend skipping sections, but adding for reference after first watch.\\nReview: 0:40\\nGeometric Interpretation: 7:17\\nCoding: 10:10\\nAlgebra(part of of coding section): 11:41\\nResume coding after algebra: 14:43\\n\\nVideo showing how to ray-triangle intersection. There a few ways to to this, but this method is intuitive because of its geometric interpretation.\\n\\nI don't have any direct resources for this as it is what we covered in my college class a few years ago. There are different ways to do this algorithm; GPU hardware does triangle-pixel collision tests differently if I recall correctly. But this method is how I implemented model rendering in my toy ray tracer, so it is robust enough to be used in a ray tracer. If you use this to render large models in a ray tracer, you will likely need to add . \\n\\n\\n\\n\\nCorrections and Statement qualifications:\\n\\nFinding vector length as 3D Pythagorean's theorem:\\nI anticipate someone commenting about the glm::length not being implemented as 3D pythagorean's theorem. In my version of glm, glm::length is implemented like \\\"sqrt(dot(v, v));\\\" where v is the vector.\\nMany already know that if you take the dotproduct of a vector with itself, you get its length squared; so naturally if you take the square root of that you will get the length of the vector. But this can be interpreted as a solving Pythagorean's theorem for length. One way to compute the dot product is x*x + y*y + z*z. 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