It seems like we can only translate points and not vectors because of the zero. Is this true? Also, I was reading that w can be 2 or something here as long as x/w and y/w = x and y in the old coordinates. Is that true? Thanks!
claudiakorea
I think we can translate vectors as well because the resulting matrix will be [[x + t_y], [y+t_y], [0]] and that would be a 2D vector as shown in the slide. During the lecture, I also believe it was mentioned that the operation here is valid as long as the w-coordinate of the result is a 1 or a 0
ziyaointl
@c4554ndr4 @claudiakorea I believe translation does not have an effect on vectors because the 0 element causess the last column of the translation matrix to be 0 as well. It's also true that one can scale a point so that w is any number. To get the original vector back, one can multiply it by 1/w.
ziyaointl
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It seems like we can only translate points and not vectors because of the zero. Is this true? Also, I was reading that w can be 2 or something here as long as x/w and y/w = x and y in the old coordinates. Is that true? Thanks!
I think we can translate vectors as well because the resulting matrix will be [[x + t_y], [y+t_y], [0]] and that would be a 2D vector as shown in the slide. During the lecture, I also believe it was mentioned that the operation here is valid as long as the w-coordinate of the result is a 1 or a 0
@c4554ndr4 @claudiakorea I believe translation does not have an effect on vectors because the 0 element causess the last column of the translation matrix to be 0 as well. It's also true that one can scale a point so that w is any number. To get the original vector back, one can multiply it by 1/w.
Tip: the comment section supports Latex! You can use it via double dollar signs ($[content]$).