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get-implicit-form3-exact

function getImplicitForm3Exact(ps: number[][]): object | object | object | undefined

Defined in implicit-form/exact/get-implicit-form3-exact.ts:36

Returns the exact implicit form of the given cubic bezier curve or undefined if the curve degenerates to a point.

  • returned coefficients are subscripted to match their monomial's variables, e.g. vₓᵧ is the coefficient of the monomial vₓᵧxy
  • returned coefficients are given exactly as Shewchuk expansions
  • the implicit form is given by: vₓₓₓx³ + vₓₓᵧx²y + vₓᵧᵧxy² + vᵧᵧᵧy³ + vₓₓx² +vₓᵧxy + vᵧᵧy² + vₓx + vᵧy + v = 0
  • adapted from Indrek Mandre
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Parameters:

NameTypeDescription
psnumber[][]