Revision #1690 → #3979 · back to history
addedBernstein polynomials (historical basis)5b47e79dcdcd
addedAffine combination (coefficients sum to 1)deeb5ab2e16f
modifiedLinear Bézier curve59ca0894371c
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| note | `AffineMap.lineMap p₀ p₁` is exactly the linear Bézier curve, generalized to any affine space. | `AffineMap.lineMap p₀ p₁` is exactly the linear Bézier curve, generalized to any affine space (verified). |
modifiedLinear Bézier equals linear interpolation370dbe62a5e4
| Field | From #1690 | To #3979 |
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| note | lineMap_apply_module states lineMap p₀ p₁ c = (1-c)•p₀ + c•p₁, i.e. linear interpolation. | lineMap_apply_module states lineMap p₀ p₁ c = (1-c)•p₀ + c•p₁, i.e. linear interpolation (verified). |
modifiedBernstein basis polynomialsc673795150eb
| Field | From #1690 | To #3979 |
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| note | `bernsteinPolynomial R n ν = (choose n ν) * X^ν * (1-X)^(n-ν)` is exactly the Bernstein basis polynomial. | `bernsteinPolynomial R n ν = (choose n ν) * X^ν * (1-X)^(n-ν)` is exactly the Bernstein basis polynomial (verified). |
addedBinomial coefficientd526e0e5685f