Question

Anyone familiar with Homogeneous 3D Coordinates?

Answer 1

@mathmale

Answer 2

Probably--homogenous means many things in mathematics. Post the question let's see. What class are you in? I have had linear algebra and vector calculus; I'm taking multivariate calc and diffEQ now.

Answer 3

I am in linear algebra

Answer 4

how do you like multivariable calc? That was a fun class

Answer 5

Did you guys talk about applications to computer graphics in linear algebra?

Answer 6

Fun so far--it's Calc III, and we've just finished our vector calculus test. Partial derivatives and multiple integrals are easy--they've come up in physics and diffEQ. I've heard it's difficult to visualize, so we'll see how hard it is. I found linear algebra to be extremely fun--but the notation and vocabulary isn't standard, which is why lots of context is needed.

Answer 7

We didn't talk about it explicitly, but we talked about converting co-ordinates in N dimensions. I had planned to do a presentation on the applications of computer graphics, but I couldn't find any resources I liked, so I did graph theory instead.

Answer 8

Haha I am opposite, vector calc was easy for me but linear is another story.

Answer 9

I am a visual learner and i like applied mathematics instead of dealing with numbers, theory, proofs, etc/

Answer 10

I am in the processing of writing a report on computer graphics. I am just having a bit of hard time understand Homogeneous 3D Coordinates

Answer 11

That's one of the reason's studying N dimensions is easier than studying 3 dimensions. You have to visualize things on a very weird, limited level. 2 dimensions with parameters, essentially. I will look through my book and see what I can find.

Answer 12

So go to page 4 http://www.math.unt.edu/~tushar/S10Linear2700%20%20Project_files/Clark%20Paper.pdf

Answer 13

This isn't my paper I wrote but he explains things the same as my textbook does

Answer 14

when he uses X=x/h, Y=y/h, and Z=z/H why is he dividing everything by half? Why are we scaling all the coordinates by half?

Answer 15

No particular reason, it's just an example. That's something that's very difficult to get used to in advanced mathematics--someone will say "Let x=sqrt(5000)/pi^9" or whatever. The key is to just keep going and realize that in math, I'm allowed to define anything I want to.

I haven't read any further, but if I remember the computer graphics portion I read, we throw 3 dimensional objects into 4 dimensions so that we can pull out the parts of the object we want in R^3. The book hasn't yet said anything about homogenous co-ordinates. They will probably be mentioned again later in the book--or paper.

Answer 16

you familiar with perspective projection?

Answer 17

Haven't heard of it, but It sounds like vector projection in r^3. Just transforming all the points on a surface closest to a plane onto that plane? My class was very focused on the theoretical aspects. Vector spaces, inner product spaces--lots of proofs. I am reading later into the paper atm.