get-implicit-form3-dd
function getImplicitForm3Dd(ps: number[][]): object
Defined in implicit-form/double-double/get-implicit-form3-dd.ts:30
Returns a double-double precision implicit form of the given cubic bezier
curve.
Returned coefficients are subscripted to match their monomial's variables,
e.g. vₓᵧ is the coefficient of the monomial vₓᵧxy
- the implicit form is given by:
vₓₓₓx³ + vₓₓᵧx²y + vₓᵧᵧxy² + vᵧᵧᵧy³ + vₓₓx² +vₓᵧxy + vᵧᵧy² + vₓx + vᵧy + v = 0 - intermediate calculations are done in double-double precision
- adapted from Indrek Mandre
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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[] |