Thanks so much for the video, really helped me out.The only part I found confusing was the representation of a "line" in homogenous coordinates as a 3-vector. I had to pause the video and think for awhile before figuring out this 3-vector is actually the normal vector of some surface. This surface intersects the z=1 plane forming the line in question.
Omg, how did you figured this out only by analyzing this vector? I don't buy it that everyone else came up with this solely from the video/lecture. There is no word of explanation! No proof that it is the case. Does author even know that? ;) Thanks for your comment. It saved me a headache.
By your simple definition at 21:30, it appears that the homogeneous property is really just another description of an eigenvector/eigenvalue, such that under certain transformations, a vector remains unchanged, and its only distinguishing property is defined by the eigenvalue . Is this in fact what the homogeneous property is, or is this observation merely coincidental?
Dear Sir, I am currently researching this field and came across your informative channel. Can you please share the link to the slides of this course? Appreciate.
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This was the single video that fills the all the gaps for Homogeneous Coords.
Thank you for putting these lectures online.
I study all your videos , the course material very helpful , thanks a lot
Fantastic pedagog! One of the best I've followed on TH-cam! Thank You!
Thanks so much for the video, really helped me out.The only part I found confusing was the representation of a "line" in homogenous coordinates as a 3-vector. I had to pause the video and think for awhile before figuring out this 3-vector is actually the normal vector of some surface. This surface intersects the z=1 plane forming the line in question.
Omg, how did you figured this out only by analyzing this vector? I don't buy it that everyone else came up with this solely from the video/lecture. There is no word of explanation! No proof that it is the case. Does author even know that? ;)
Thanks for your comment. It saved me a headache.
Even the dumbest person can get the concept right after watching this. Great lecture! Thanks.
Thank you. A very detailed and easy explanation of a very tricky topic
a very nice explanation of the fundamental concepts on projective geometry.!
this is why i have to learn on video; i have to rewind to follow what he's saying;
By your simple definition at 21:30, it appears that the homogeneous property is really just another description of an eigenvector/eigenvalue, such that under certain transformations, a vector remains unchanged, and its only distinguishing property is defined by the eigenvalue . Is this in fact what the homogeneous property is, or is this observation merely coincidental?
54:56 there's an error in D2 when the variables are passed into the matrix in the lower right hand corner.
This is the video i've was needing!
Great and clear explanation..
Dear Sir, I am currently researching this field and came across your informative channel. Can you please share the link to the slides of this course? Appreciate.
Thank you so much. Very clear explanation.
Great video! Thank you
amazing! very clear explanation
Thank you, the videos help me a lot!
At 28:36 can we assume square(|x|) is always positive. I mean can any of one of the u,v,w be imaginary?
The number space of projective geometry is always connected to lines going through the big O. XD
Just another way of describing points in space. lol
It is impossible for me to see what you're writing on the black board. BlackBoard needs to be illuminated better.