ParametricSurface Op
Creates a 3d mesh from a 2d area expressions
Summary (oneliner)
A parametric surface is a surface in 3d space that is defined by a parametric equation of 2 parameters.
Simplified, it is a mapping from (u, v) -> (x, y, z).
With this op, you have the possibility to define your own parametric surfaces by specifying a function for each 3d component (x, y, z). These functions may include all mathematic operations javascript is capable of.
For a reference of mathematical functions availible, please refer to the Javascript Math object: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math
There are presets you can choose from, which are a good starting point if you are unfamiliar with the mathematics.
For further reading (if you're not scared of maths!), please refer to
or
https://www.youtube.com/watch?v=MmTNkRA0yyk
to get an overview.
If you are just looking for formulas to put in, refer to
http://www.3d-meier.de/tut3/Seite0.html
as a starting point (German only, but not too hard to figure out).
Documentation (markdown)
Issues
Example patch id
Youtube ids (comma seperated)
Caniuse query
Inputs
Trigger input
Segments
number of segments on the U axis
number of segments on the V axis
U range
whether uMin & uMax should be multiplied with PI
boundary start U
boundary end U
displace U range
V range
whether vMin & vMax should be multiplied with PI
boundary start V
boundary end V
displace V range
XYZ Functions
uv function for x coordinates, allowed values: u, v
uv function for y coordinates, allowed values: u, v
uv function for z coordinates, allowed values: u, v
Scaling
scale x coordinates by given amount
scale y coordinates by given amount
scale z coordinates by given amount
Draw
whether the shape should be drawn
Outputs
trigger out
outputs the geometry of the surface
outputs the vertices of the surface (as an xyz-Array)
outputs the length of the vertices array
Changelog
created op 2019-07-10 - simod |