 | BezierSegment3F Class |
Inheritance HierarchyNamespace: DigitalRune.Mathematics.Interpolation
Assembly: DigitalRune.Mathematics (in DigitalRune.Mathematics.dll) Version: 1.14.0.0 (1.14.0.14427)
SyntaxThe BezierSegment3F type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | BezierSegment3F | Initializes a new instance of the BezierSegment3F class |
Methods| Name | Description | |
|---|---|---|
 | Create |
Creates an instance of the BezierSegment3F class. (This method reuses a
previously recycled instance or allocates a new instance if necessary.)
|
| 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.
|
| 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].
|
| GetPoint |
Computes a point on the curve.
|
| GetTangent |
Computes the tangent for a point on the curve.
|
| 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.
|
| ToString | Returns a string that represents the current object. (Inherited from Object.) |
Properties| Name | Description | |
|---|---|---|
 | ControlPoint1 |
Gets or sets the first control point.
|
| ControlPoint2 |
Gets or sets the second control point.
|
| Point1 |
Gets or sets the start point.
|
| Point2 |
Gets or sets the end point.
|
RemarksA BezierSegment3F 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.
See Also