Homogeneous Coordinates (Cyrill Stachniss, 2020)

[@zainmehdi8886]

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.

[@karthickpn450]

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

[@cosmic_gate476]

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!

[@子维-u1g]

Me too. These lectures are really helpful, the ICP lectures also helped me a lot

[@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

[@adriennewinter9949]

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

[@jimrecord6505]

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

[@CyrillStachniss]

absolutely!

[@coemgeincraobhach236]

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

[@tetlleyplus]

This is simply a Masterclass! Absolutely fascinating!

[@CyrillStachniss]

Thanks

[@familywu3869]

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

[@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!

[@satypk8664]

Hey , what are some other sources you are referring for this. Enrolled in any university course or self? I am also a working professional exploring this field of robotics and UAV.

[@pensive_]

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

[@vincenzopeccheneda6992]

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

[@squaidinkarts]

This is an amazing lecture, thank you!

[@weiguozhang17]

Fantastic video and great lecture!

[@emirhandemir3872]

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

[@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]]....

[@mihir777]

yes, correct

[@AkamiChannel]

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

[@nicolasperez4292]

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)

[@cardinalblues7121]

this lecture is amazing ，thank you

[@winafox]

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

[@mehmetrzaoz9016]

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

[@CyrillStachniss]

Send me an email and I will send you the slides.

[@kyudanpi4436]

Great! I like this style.

[@CyrillStachniss]

Thanks

[@asknlpexpert]

Thank you

[@aakash2mit]

its great great........... literally ...thanku Cyrill

[@J2000Ray]

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

[@CyrillStachniss]

It is simply a 4x4 matrix. The four blocks are of dimension 3x3; 3x1; 1x3; 1x1

[@randyhelzerman]

Thanks for making me feel stupid for not being able to figure out myself what the relationship between pinhole cameras and homogeneous coordinates are :-).

[@CyrillStachniss]

Pinhole cameras realize the central projection. This projective mapping is the most general mapping that can be expressed by a matrix multiplication in H.C. - thus it is a great framework for these types of problems

[@mailoisback]

Also have a look here: en.wikipedia.org/wiki/Camera_matrix

[@mohamedessam1397]

Thank you prof.

[@amortalbeing]

This was great. thanks a lot doc :) God bless you

[@bugrahana3395]

This is really good explanation.

[@anthonystrefwick2209]

Screen is dark throughout

[@Ouss14705]

very helpful lecture, thanks!

[@김인수-z2p]

8:27 The reason why use the homogeneous coordinate instead of the cartesian -