Parametric surface plots with Makie

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1

I am a new user of Makie.

How can I make a parametric plot of a surface in 3-dimensions with Makie?

For example, I am looking for something like this: ParametricPlot3D—Wolfram Language Documentation

Is there a similar functionality in Makie?

1 Like
2

Currently, you can do it as in these examples:

https://lazarusa.github.io/BeautifulMakie/surfWireLines/

https://lazarusa.github.io/BeautifulMakie/surfWireLines/surface1Color/

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3

Ah so the trick is to pass x, y, z as Matrices instead of Vectors?

4

If you convert the coordinates to vectors, it doesn’t work:

julia> let
           t = 0:0.1:15
           u = -1:0.1:1
           x = [u*sin(t) for t in t, u in u]
           y = [u*cos(t) for t in t, u in u]
           z = [t/4      for t in t, u in u]
           fig, _ = surface(vec(x), vec(y), vec(z), colorrange = (-2,-1.1), highclip = :orangered, lightposition = Vec3f0(0, 0, 0), ambient = Vec3f0(0.65, 0.65, 0.65), backlight = 5f0) # the colorrange must be outside the range of z
           wireframe!(x,y,z, overdraw = false, linewidth = 0.1) # try overdraw = true
           fig
       end
ERROR: Found duplicate x/y coordinates: Dict((0.0, 0.0) => 48, (-0.0, -0.0) => 31, (-0.0, 0.0) => 31, (0.0, -0.0) => 41)

I don’t see this discussed in the docs: surface.

Can someone explain the logic here?

5

Not sure I understand. The example you were copying from is a surface on an irregular grid, so it needs x and y to be matrices. Not sure how you could recreate the image from that example using vectors. If you want a surface on an ordinary rectangular grid then you can pass in x and y as vectors. This is stated in the docs that you linked. Maybe I am missing the point though?

6

What does “irregular” mean in this context?

7

So I’m far from an expert here. But my understanding is that by regular grid they mean that the view from above would be a, rectangle where the vectors of x and y values give you the 2d points on that rectangle and Z is the height. Whereas an irregular grid can take any shape, e.g. you can set the bottom lefts of the 3 matrices X, Y and Z to be in the same location as the top right.