C# Class Nez.Splines.Bezier

cubic and quadratic bezier helper

Datei anzeigen Open project: prime31/Nez Class Usage Examples

Public Methods

Method	Description
getFirstDerivative ( Vector2 start, Vector2 firstControlPoint, Vector2 secondControlPoint, Vector2 end, float t ) : Vector2	gets the first derivative for a cubic bezier
getFirstDerivative ( Vector2 p0, Vector2 p1, Vector2 p2, float t ) : Vector2	gets the first derivative for a quadratic bezier
getOptimizedDrawingPoints ( Vector2 start, Vector2 firstCtrlPoint, Vector2 secondCtrlPoint, Vector2 end, float distanceTolerance = 1f ) : List	recursively subdivides a bezier curve until distanceTolerance is met. Flat sections will have less points then curved with this algorithm. Returns a pooled list that should be returned to the ListPool when done.
getPoint ( Vector2 start, Vector2 firstControlPoint, Vector2 secondControlPoint, Vector2 end, float t ) : Vector2	evaluate a cubic bezier
getPoint ( Vector2 p0, Vector2 p1, Vector2 p2, float t ) : Vector2	evaluate quadratic bezier

Private Methods

Method	Description
recursiveGetOptimizedDrawingPoints ( Vector2 start, Vector2 firstCtrlPoint, Vector2 secondCtrlPoint, Vector2 end, List points, float distanceTolerance ) : void	recursively subdivides a bezier curve until distanceTolerance is met. Flat sections will have less points then curved with this algorithm. This image defines the midpoints calculated and makes the variable names sensical: http://www.antigrain.com/research/adaptive_bezier/bezier09.gif based on http://www.antigrain.com/research/adaptive_bezier/index.html

Method Details

getFirstDerivative() public static method

gets the first derivative for a cubic bezier

public static getFirstDerivative ( Vector2 start, Vector2 firstControlPoint, Vector2 secondControlPoint, Vector2 end, float t ) : Vector2
start	Microsoft.Xna.Framework.Vector2	P0.
firstControlPoint	Microsoft.Xna.Framework.Vector2	P1.
secondControlPoint	Microsoft.Xna.Framework.Vector2	P2.
end	Microsoft.Xna.Framework.Vector2	P3.
t	float	T.
return	Microsoft.Xna.Framework.Vector2

getFirstDerivative() public static method

gets the first derivative for a quadratic bezier

public static getFirstDerivative ( Vector2 p0, Vector2 p1, Vector2 p2, float t ) : Vector2
p0	Microsoft.Xna.Framework.Vector2	P0.
p1	Microsoft.Xna.Framework.Vector2	P1.
p2	Microsoft.Xna.Framework.Vector2	P2.
t	float	T.
return	Microsoft.Xna.Framework.Vector2

getOptimizedDrawingPoints() public static method

recursively subdivides a bezier curve until distanceTolerance is met. Flat sections will have less points then curved with this algorithm. Returns a pooled list that should be returned to the ListPool when done.

public static getOptimizedDrawingPoints ( Vector2 start, Vector2 firstCtrlPoint, Vector2 secondCtrlPoint, Vector2 end, float distanceTolerance = 1f ) : List
start	Microsoft.Xna.Framework.Vector2	Start.
firstCtrlPoint	Microsoft.Xna.Framework.Vector2	First ctrl point.
secondCtrlPoint	Microsoft.Xna.Framework.Vector2	Second ctrl point.
end	Microsoft.Xna.Framework.Vector2	End.
distanceTolerance	float	Distance tolerance.
return	List

getPoint() public static method

evaluate a cubic bezier

public static getPoint ( Vector2 start, Vector2 firstControlPoint, Vector2 secondControlPoint, Vector2 end, float t ) : Vector2
start	Microsoft.Xna.Framework.Vector2	P0.
firstControlPoint	Microsoft.Xna.Framework.Vector2	P1.
secondControlPoint	Microsoft.Xna.Framework.Vector2	P2.
end	Microsoft.Xna.Framework.Vector2	P3.
t	float	T.
return	Microsoft.Xna.Framework.Vector2

getPoint() public static method

evaluate quadratic bezier

public static getPoint ( Vector2 p0, Vector2 p1, Vector2 p2, float t ) : Vector2
p0	Microsoft.Xna.Framework.Vector2	P0.
p1	Microsoft.Xna.Framework.Vector2	P1.
p2	Microsoft.Xna.Framework.Vector2	P2.
t	float	T.
return	Microsoft.Xna.Framework.Vector2