| Safe Haskell | None |
|---|---|
| Language | Haskell98 |
Geom2D.CubicBezier.Approximate
Synopsis
- approximatePath :: (Unbox a, Ord a, Floating a) => (a -> (Point a, Point a)) -> Int -> a -> a -> a -> Bool -> [CubicBezier a]
- approximateQuadPath :: (Show a, Unbox a, Ord a, Floating a) => (a -> (Point a, Point a)) -> a -> a -> a -> Bool -> [QuadBezier a]
- approximatePathMax :: (Unbox a, Floating a, Ord a) => Int -> (a -> (Point a, Point a)) -> Int -> a -> a -> a -> Bool -> [CubicBezier a]
- approximateQuadPathMax :: (Unbox a, Show a, Floating a, Ord a) => Int -> (a -> (Point a, Point a)) -> a -> a -> a -> Bool -> [QuadBezier a]
- approximateCubic :: (Unbox a, Ord a, Floating a) => CubicBezier a -> Vector (Point a) -> Maybe (Vector a) -> Int -> (CubicBezier a, a)
Documentation
Arguments
| :: (Unbox a, Ord a, Floating a) | |
| => (a -> (Point a, Point a)) | The function to approximate and it's derivative |
| -> Int | The number of discrete samples taken to approximate each subcurve. More samples are more precise but take more time to calculate. For good precision 16 is a good candidate. |
| -> a | The tolerance |
| -> a | The lower parameter of the function |
| -> a | The upper parameter of the function |
| -> Bool | Calculate the result faster, but with more subcurves. Runs typically 10 times faster, but generates 50% more subcurves. Useful for interactive use. |
| -> [CubicBezier a] |
Approximate a function with piecewise cubic bezier splines using a least-squares fit, within the given tolerance. Each subcurve is approximated by using a finite number of samples. It is recommended to avoid changes in direction by subdividing the original function at points of inflection.
Arguments
| :: (Show a, Unbox a, Ord a, Floating a) | |
| => (a -> (Point a, Point a)) | The function to approximate and it's derivative |
| -> a | The tolerance |
| -> a | The lower parameter of the function |
| -> a | The upper parameter of the function |
| -> Bool | Calculate the result faster, but with more subcurves. |
| -> [QuadBezier a] |
Approximate a function with piecewise quadratic bezier splines using a least-squares fit, within the given tolerance. It is recommended to avoid changes in direction by subdividing the original function at points of inflection.
Arguments
| :: (Unbox a, Floating a, Ord a) | |
| => Int | The maximum number of subcurves |
| -> (a -> (Point a, Point a)) | The function to approximate and it's derivative |
| -> Int | The number of discrete samples taken to approximate each subcurve. More samples are more precise but take more time to calculate. For good precision 16 is a good candidate. |
| -> a | The tolerance |
| -> a | The lower parameter of the function |
| -> a | The upper parameter of the function |
| -> Bool | Calculate the result faster, but with more subcurves. Runs faster (typically 10 times), but generates more subcurves (about 50%). Useful for interactive use. |
| -> [CubicBezier a] |
Like approximatePath, but limit the number of subcurves.
approximateQuadPathMax Source #
Arguments
| :: (Unbox a, Show a, Floating a, Ord a) | |
| => Int | The maximum number of subcurves |
| -> (a -> (Point a, Point a)) | The function to approximate and it's derivative |
| -> a | The tolerance |
| -> a | The lower parameter of the function |
| -> a | The upper parameter of the function |
| -> Bool | Calculate the result faster, but with more subcurves. Runs faster, but generates more subcurves. Useful for interactive use. |
| -> [QuadBezier a] |
Like approximateQuadPath, but limit the number of subcurves.
Arguments
| :: (Unbox a, Ord a, Floating a) | |
| => CubicBezier a | Curve |
| -> Vector (Point a) | Points |
| -> Maybe (Vector a) | Params. Approximate if Nothing |
| -> Int | Maximum iterations |
| -> (CubicBezier a, a) | result curve and maximum error |
approximateCubic b pts maxiter finds the least squares fit of a bezier
curve to the points pts. The resulting bezier has the same first
and last control point as the curve b, and have tangents colinear with b.