What Homogeneous Coordinates Mean

Explains what the word "homogeneous" means with homogeneous coordinates. Computer graphics heavily uses transformations and homogeneous coordinates.

[petriandy]

informative video, or should I say "INFORMATIVE VIDEO THANK YOU!"

[xylxylxylxyl]

As soon as you did this, I imagined the line as a plane (which would be the screen). And it all made sense then. I now see that when I apply a translation on the w component, I am moving the viewing plane. Excellent!!

[AbhishekSen]

I was taking a computer vision course and this was very helpful! Thank You!

[ptf]

I get it now, when I was in highschool, I had ever ask the teacher why we use 1 0 0 1 to do matrix transformation, rotation and so on. I didn`t get the answer because the teacher told us just to remember the formulas.

Now I am interested in 3D Graphics.

Thanks dude

[cl]

haha yea I just went from a very very quite man's youtube video so my volume was ALL THE WAY UP OMG lol but worth it, man! You're great!!! THANK YOU for being awesome and entertaining. lol maybe add "TURN VOLUME DOWN!" in big caps right after the title of the video. Hope you have lots of vids

[ugotm]

Your teaching style kinda lit. I loved that.

[aqila]

thank you for such an interesting and amazing video, explained very well

[MrDeyzel]

So if you only have the projection, you need to know what the original scaling factor is in order to find T's position in Euclidean 2-space? And that can be obtained by observing another known projection of T and solving the system of two equations?

[FrEze]

damn that was a pretty amazing explanation

[Urza]

Is it fair to say that in perspective projection, our "land" is the 2D picture plane? and that the w is the distance from the picture plane to the eye? I'm a beginner at this.

[AE-yrmo]

Really struggling to connect this to w / homogeneous coordinate used in the camera transform... any tips?

[chrisholmesparker]

Well done. :) Thanks for the video. It was helpful. :)

[breakdancerQ]

Explanation was pretty funny, and I learned from it too!

[jacobbertram]

I feel like Billy Mays just gave me an infomercial on homogeneous coordinates with all of this yelling

[saravanaprakashkg]

It was so good... and i have a doubt.
u said that u wanna bring the (2, 3) point to the actual position (2, 1)... but the representation from the vector shows its at point (2/3, 1)....
can u explain it ?


thanks in advance...

[JamieKingCS]

That's close enough that I will say yes. Perspective projection uses the w coordinate to project a 3d point onto a 2d plane, much like I did projecting a 2d point to a 1d line in this video. However, to be super technical, we don't project to a plane, it is still 3d, but it is extremely squished. The goal is to try to get everything between -1 and 1 on the z in OpenGL (DirectX does 0 to 1). Anyway, I need to get to making my 3D graphics videos! So little time...

[alexstep]

Thank you so much Jamie. I helped me move farther in 3D

[JamieKingCS]

If you go to computersciencevideos d o t org and click on the "Game Engine" playlist, you will see that this video is one of a series.

[Urza]

A fantastic creative explanation lol... I finally understand.

[Nissearne]

Thanks! Good that you hammar in this in my mind. Otherwise I lose it later :)