Two dimensional projections of a three dimensional curve

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Sujeeth Kumaravel
Sujeeth Kumaravel 2014 年 8 月 8 日
コメント済み: Ahmet Cecen 2014 年 8 月 16 日
I have a curve in the 3D space. How should I find its three 2D projections?

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Ahmet Cecen
Ahmet Cecen 2014 年 8 月 8 日
This is not a very clear question. If you are just interested in 3 2D projections of a 3D object, all you have to do is plot x&y, x&z and y&z individually. Projection in on axial planes is equivalent to ignoring one of the dimensions.
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Sujeeth Kumaravel
Sujeeth Kumaravel 2014 年 8 月 16 日
Thank you. I have got one more question. If I have an object in 4 dimensional space wxyz. If I want to find the 2D projection of the object on wx, how will I do it? I just have to ignore the y & z coordinates and take only the wx coordinates. Am I correct?
Ahmet Cecen
Ahmet Cecen 2014 年 8 月 16 日
Yes, that would the yz plane projection, and the rest would be done in a same way. Although there are better ways to visualize high dimensional data in 2 dimensions such as PCA.

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