BezierSegment1F Class |
Namespace: DigitalRune.Mathematics.Interpolation
The BezierSegment1F type exposes the following members.
Name | Description | |
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BezierSegment1F | Initializes a new instance of the BezierSegment1F class |
Name | Description | |
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Create |
Creates an instance of the BezierSegment1F class. (This method reuses a
previously recycled instance or allocates a new instance if necessary.)
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Equals | (Inherited from Object.) | |
Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.) | |
Flatten |
Computes the points of a sequence of line segments which approximate the curve.
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GetHashCode | Serves as a hash function for a particular type. (Inherited from Object.) | |
GetLength |
Computes the approximated length of the curve for the parameter interval
[start, end].
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GetPoint |
Computes a point on the curve.
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GetTangent |
Computes the tangent for a point on the curve.
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GetType | Gets the Type of the current instance. (Inherited from Object.) | |
MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object.) | |
Recycle |
Recycles this instance.
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ToString | Returns a string that represents the current object. (Inherited from Object.) |
Name | Description | |
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ControlPoint1 |
Gets or sets the first control point.
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ControlPoint2 |
Gets or sets the second control point.
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Point1 |
Gets or sets the start point.
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Point2 |
Gets or sets the end point.
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A BezierSegment1F can be used to smoothly interpolate between two points.
It is a curve that connects two points: Point1 and Point2. Two more points are required to define the curvature of the spline: ControlPoint1 and ControlPoint2. The curve smoothly interpolates between Point1 and Point2.
The curve is a function point = C(parameter) that takes a scalar parameter and returns a point on the curve (see GetPoint(Single)). The curve parameter lies in the interval [0,1]; it is also known as interpolation parameter, interpolation factor or weight of the target point. C(0) returns the start point Point1; C(1) returns the end point Point2.
The curve is defined as:
C(u) = (1 - u)3p1 + 3u (1 - u)2cp1 + 3u2 (1 - u) cp2 + u3p2
where u is the curve parameter, p are the start/end points and cp are the control points.