Homogeneous Coordinates (Cyrill Stachniss, 2020)

Lecture on Homogeneous Coordinates
Cyrill Stachniss, Summer 2020

[zainmehdi]

I really admire and am thankful to you for making your lectures available to people who are not fortunate enough to sit in your lectures. Your contributions will go a long way.

[SkrtlIl]

As a math noob all these things working perfectly together to create shortcuts for "normal" vector geometry stuff while also explaining inifitesimal coordinates and their operations feel like a fever dream

[karthickpn]

This is such a great lecture. Thanks for posting on YouTube.

[adriennewinter]

Cyrill, you don't know me, but I love you, you save lives.

[cosmic_gate]

I used this lecture to help me prep for 3D Graphics concepts. So glad the world of computer vision and photogrammetry intersect with that of video games!

[jimrecord]

I’ve been a user of homogeneous coordinates for decades. The ability to easily handle “points at infinity” is fantastic.

[vincenzopeccheneda]

mi hai fatto bestemmiare come pochi al mondo ma ti rispetto, my man

[familywu]

Thank you so much for sharing your wisdom for free! Really helpful!

[tetlleyplus]

This is simply a Masterclass! Absolutely fascinating!

[coemgeincraobhach]

Thanks so much for taking the time to make these videos! Id be lost in machine vision without them!

[avelkm]

Your explanations and motivation behind the math is very easy to understand for me, who finished University some 18 years ago and now needs to study robotics and UAV... because I live in Ukraine. Thanks a lot!

[pensive_]

Good lecture: But, how do you test if given coordinates are homogeneous ?

[hijibijb]

The table at 31:59 ---- shouldn't the Z matrix for Y-axis mirroring be [[-1, 0], [0, 1]] ? In the slide it is [[1, 0], [0, -1]]....

[JRay]

Hello, could someone tell me how to interpret the notation he's using for the translation matrix at 23:36? How could i expand it into a different form? Im not that familiar with matrix notation. plz and thanks

[AkamiChannel]

What do we do to find the curve when we projectivize exp?

[squaidinkarts]

This is an amazing lecture, thank you!

[emirhandemir]

Awesome explanation. Thanks a lot. Now I can understand the paper I'm reading :D

[mehmetrzaoz]

Thank you for the whole series.
Could you share the link for the slides please?

[nicolasperez]

Hi Cyrill, I think it would've been better to explain the shear transformation as it was introduced. It is not clear how the matrix A is parameterized. (i.e. why is it an arbitrary matrix)

[winafox]

maybe adding a few projective coordinates to explain homogeneous coordinates, will be more easy to understand.