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Public Types | |
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typedef GetVectorType< Dimension >::type | Vector |
| The vector type used by this curve, can be Vector2, Vector3, or Vector4. | |
Public Member Functions | |
| virtual | ~Curve () |
| Destructor. | |
| real | GetMinTime () const |
| Returns the minimum time parameter of this curve. | |
| real | GetMaxTime () const |
| Returns the maximum time parameter of this curve. | |
| real | GetTotalArcLength () const |
| Returns the total arc length of this curve. | |
| real | GetArcLengthBetween (real fromTime, real toTime) const |
| Returns the arc length in between the two given time parameters. | |
| real | GetArcLengthFromTime (real time) const |
| Returns the arc length parameter corresponding to the given time parameter. | |
| real | GetTimeFromArcLength (real arcLength) const |
| Returns the time parameter corresponding to the given arc length parameter. | |
| real | GetSpeed (real time) const |
| Returns the speed (= length of the tangent) of the curve at the given time. | |
| Vector | GetPosition (real time) const |
| Returns the position of the curve at the given time. | |
| Vector | GetDerivative1 (real time) const |
| Returns the first derivative at the given time. | |
| Vector | GetDerivative2 (real time) const |
| Returns the second derivative at the given time. | |
| Vector | GetDerivative3 (real time) const |
| Returns the third derivative at the given time. | |
| Vector | GetTangent (real time) const |
| Returns the normalized tangent vector at the given time. | |
| template<typename OutputIteratorT> | |
| void | SubdivideByTime (size_t pointCount, OutputIteratorT it) const |
| Subdivides the curve by uniformly sampling the time parameter space [t_min, t_max]. | |
| template<typename OutputIteratorT> | |
| void | SubdivideByArcLength (size_t pointCount, OutputIteratorT it) const |
| Subdivides the curve by uniformly sampling the arc length parameter space. | |
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Virtual destructor. |
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Returns the arc length in between the two given time parameter values. |
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Returns the arc length parameter corresponding to the given time parameter. This simply returns the arc length in between the minimum time parameter value of this curve and the given time value. |
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Returns the first derivative at the given time. |
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Returns the second derivative at the given time. |
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Returns the third derivative at the given time. |
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Returns the maximum time parameter of this curve. |
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Returns the minimum time parameter of this curve. |
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Returns the position of the curve at the given time. |
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Returns the speed of the curve at the given time. The speed of a curve at a time t is defined as the length of the first derivative (= tangent vector) of the curve at time t. |
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Returns the normalized tangent vector at the given time. The tangent vector of the curve at a time t is simply the first derivative at t. |
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Returns the time parameter corresponding to the given arc length parameter. |
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Returns the total arc length of this curve. |
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Subdivides the curve by uniformly sampling the arc length parameter space. The points resulting from the subdivision are returned via the given output iterator. The given point count must at least be 2 which results in a straight line from the curve's start point to the curve's end point. |
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Subdivides the curve by uniformly sampling the time parameter space [minTime, maxTime]. The points resulting from the subdivision are returned via the given output iterator. The given point count must at least be 2 which results in a straight line from the curve's start point to the curve's end point. |
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Copyright © by Martin Ecker |