Putting 3D in Perspective Question 2: Projecting a 3D Line to 2D
hive-128780·@mes·
0.000 HBDPutting 3D in Perspective Question 2: Projecting a 3D Line to 2D
<center> [](https://3speak.tv/watch?v=mes/vwzuidwg) ▶️ [Watch on 3Speak](https://3speak.tv/watch?v=mes/vwzuidwg) </center> --- In this video I first derive the formula for projecting a 3D point to a 2D screen and then apply that formula to the 3D line from the previous question. To project a 3D image onto a 2D screen, we just have to draw a line extending from the camera or viewpoint that intersects our desired point and extends to the screen. Then applying similar triangles, we can derive the projected coordinates for the y and z coordinates; note that the x-coordinates in this case all get projected to x = 0. Next we apply the derived formula to the clipped 3D line points from Question 1 to obtain the projected coordinates on the 2D screen. And as always, I graph this all out using the amazing GeoGebra 3D graphing calculator: https://www.geogebra.org/calculator/twezjbu5 The timestamps of key parts of the video are listed below: - Question 1: Projecting Clipped 3D Line to 2D: 0:00 - Solution: Deriving 3D to 2D projection equation: 0:12 - Applying similar triangles: 7:18 - Projecting the clipped points of the 3D line: 10:51 - Graphing with GeoGebra: 14:31 This video was taken from my earlier video listed below: - Laboratory Project: Putting 3D in Perspective: [https://youtu.be/3txedAqdtkQ](https://youtu.be/3txedAqdtkQ) - HIVE video notes: https://peakd.com/hive-128780/@mes/laboratory-project-putting-3d-in-perspective - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0ElsrMs_IBprUoHocIwyAmK Related Videos: Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps --- ▶️ [3Speak](https://3speak.tv/watch?v=mes/vwzuidwg)