get-implicit-form3
function getImplicitForm3(ps: number[][]): object
Defined in implicit-form/double/get-implicit-form3.ts:18
Returns the implicit form of the given cubic bezier curve.
- returned coefficients are subscripted to match their monomial's variables,
e.g.
vₓᵧis the coefficient of the monomialvₓᵧxy - the implicit form is given by:
vₓₓₓx³ + vₓₓᵧx²y + vₓᵧᵧxy² + vᵧᵧᵧy³ + vₓₓx² +vₓᵧxy + vᵧᵧy² + vₓx + vᵧy + v = 0 - adapted from Indrek Mandre
- takes about 1.2 micro-seconds on a 3rd gen i7 and Chrome 79
Note!
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Parameters:
| Name | Type | Description |
|---|---|---|
ps | number[][] | a cubic bezier curve given as an array of its control points, e.g. [[1,2],[3,4],[5,7],[0,0]] |
Returns: object
| Name | Type |
|---|---|
vₓₓₓ | number |
vₓₓᵧ | number |
vₓᵧᵧ | number |
vᵧᵧᵧ | number |
vₓₓ | number |
vₓᵧ | number |
vᵧᵧ | number |
vₓ | number |
vᵧ | number |
v | number |