Ops ⟩ Gl ⟩ Meshes ⟩ ParametricSurface

ParametricSurface Op

Op author: simod

Test Patches: 1 Test

Creates a 3d mesh from a 2d area expressions

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

https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/vcalc/parsurf/parsurf.html

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).

Inputs

shapes index (integer /Number)

render (Trigger)

Trigger input

Segments

u Segments (integer /Number)

number of segments on the U axis

v Segments (integer /Number)

number of segments on the V axis

U range

Multiple of PI - u (boolean /Number)

whether uMin & uMax should be multiplied with PI

uMin (Number)

boundary start U

uMax (Number)

boundary end U

Displace U (Number)

displace U range

V range

Multiple of PI - v (boolean /Number)

whether vMin & vMax should be multiplied with PI

vMin (Number)

boundary start V

vMax (Number)

boundary end V

Displace V (Number)

displace V range

XYZ Functions

X Function (String)

uv function for x coordinates, allowed values: u, v

Y Function (String)

uv function for y coordinates, allowed values: u, v

Z Function (String)

uv function for z coordinates, allowed values: u, v

Scaling

Scale X (Number)

scale x coordinates by given amount

Scale Y (Number)

scale y coordinates by given amount

Scale Z (Number)

scale z coordinates by given amount

Draw

Draw (boolean /Number)

whether the shape should be drawn

Outputs

trigger (Trigger)

trigger out

geometry (Object)

outputs the geometry of the surface

Position (Array)

outputs the vertices of the surface (as an xyz-Array)

Position Amount (Number)

outputs the length of the vertices array

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ParametricSurface example

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Patches using ParametricSurface

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Changelog

created op
2019-07-10 - simod