Package gaiasky.util.math
Class BSplineDouble<T extends VectorDouble<T>>
java.lang.Object
gaiasky.util.math.BSplineDouble<T>
- All Implemented Interfaces:
PathDouble<T>
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Field Summary
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Constructor Summary
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Method Summary
Modifier and TypeMethodDescriptiondouble
approximate
(T v) double
approximate
(T in, int near) double
approximate
(T in, int start, int count) double
approxLength
(int samples) static <T extends VectorDouble<T>>
Tcalculate
(T out, double t, T[] points, int degree, boolean continuous, T tmp) Calculates the n-degree b-spline value for the given position (t).static <T extends VectorDouble<T>>
Tcalculate
(T out, int i, double u, T[] points, int degree, boolean continuous, T tmp) Calculates the n-degree b-spline value for the given span (i) at the given position (u).static <T extends VectorDouble<T>>
Tcubic
(T out, double t, T[] points, boolean continuous, T tmp) Calculates the cubic b-spline value for the given position (t).static <T extends VectorDouble<T>>
Tcubic
(T out, int i, double u, T[] points, boolean continuous, T tmp) Calculates the cubic b-spline value for the given span (i) at the given position (u).static <T extends VectorDouble<T>>
Tcubic_derivative
(T out, double t, T[] points, boolean continuous, T tmp) Calculates the cubic b-spline derivative for the given position (t).static <T extends VectorDouble<T>>
Tcubic_derivative
(T out, int i, double u, T[] points, boolean continuous, T tmp) Calculates the cubic b-spline derivative for the given span (i) at the given position (u).static <T extends VectorDouble<T>>
Tderivative
(T out, double t, T[] points, int degree, boolean continuous, T tmp) Calculates the n-degree b-spline derivative for the given position (t).static <T extends VectorDouble<T>>
Tderivative
(T out, int i, double u, T[] points, int degree, boolean continuous, T tmp) Calculates the n-degree b-spline derivative for the given span (i) at the given position (u).derivativeAt
(T out, double t) derivativeAt
(T out, int span, double u) double
int
int
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Field Details
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controlPoints
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knots
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degree
public int degree -
continuous
public boolean continuous -
spanCount
public int spanCount
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Constructor Details
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BSplineDouble
public BSplineDouble() -
BSplineDouble
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Method Details
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cubic
public static <T extends VectorDouble<T>> T cubic(T out, double t, T[] points, boolean continuous, T tmp) Calculates the cubic b-spline value for the given position (t).- Parameters:
out
- The Vectord to set to the result.t
- The position (0<=t<=1) on the splinepoints
- The control pointscontinuous
- If true the b-spline restarts at 0 when reaching 1tmp
- A temporary vector used for the calculation- Returns:
- The value of out
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cubic_derivative
public static <T extends VectorDouble<T>> T cubic_derivative(T out, double t, T[] points, boolean continuous, T tmp) Calculates the cubic b-spline derivative for the given position (t).- Parameters:
out
- The Vectord to set to the result.t
- The position (0<=t<=1) on the splinepoints
- The control pointscontinuous
- If true the b-spline restarts at 0 when reaching 1tmp
- A temporary vector used for the calculation- Returns:
- The value of out
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cubic
public static <T extends VectorDouble<T>> T cubic(T out, int i, double u, T[] points, boolean continuous, T tmp) Calculates the cubic b-spline value for the given span (i) at the given position (u).- Parameters:
out
- The Vectord to set to the result.i
- The span (0<=i<spanCount) spanCount = continuous ? points.length : points.length - 3 (cubic degree)u
- The position (0<=u<=1) on the spanpoints
- The control pointscontinuous
- If true the b-spline restarts at 0 when reaching 1tmp
- A temporary vector used for the calculation- Returns:
- The value of out
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cubic_derivative
public static <T extends VectorDouble<T>> T cubic_derivative(T out, int i, double u, T[] points, boolean continuous, T tmp) Calculates the cubic b-spline derivative for the given span (i) at the given position (u).- Parameters:
out
- The Vectord to set to the result.i
- The span (0<=i<spanCount) spanCount = continuous ? points.length : points.length - 3 (cubic degree)u
- The position (0<=u<=1) on the spanpoints
- The control pointscontinuous
- If true the b-spline restarts at 0 when reaching 1tmp
- A temporary vector used for the calculation- Returns:
- The value of out
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calculate
public static <T extends VectorDouble<T>> T calculate(T out, double t, T[] points, int degree, boolean continuous, T tmp) Calculates the n-degree b-spline value for the given position (t).- Parameters:
out
- The Vectord to set to the result.t
- The position (0<=t<=1) on the splinepoints
- The control pointsdegree
- The degree of the b-splinecontinuous
- If true the b-spline restarts at 0 when reaching 1tmp
- A temporary vector used for the calculation- Returns:
- The value of out
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derivative
public static <T extends VectorDouble<T>> T derivative(T out, double t, T[] points, int degree, boolean continuous, T tmp) Calculates the n-degree b-spline derivative for the given position (t).- Parameters:
out
- The Vectord to set to the result.t
- The position (0<=t<=1) on the splinepoints
- The control pointsdegree
- The degree of the b-splinecontinuous
- If true the b-spline restarts at 0 when reaching 1tmp
- A temporary vector used for the calculation- Returns:
- The value of out
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calculate
public static <T extends VectorDouble<T>> T calculate(T out, int i, double u, T[] points, int degree, boolean continuous, T tmp) Calculates the n-degree b-spline value for the given span (i) at the given position (u).- Parameters:
out
- The Vectord to set to the result.i
- The span (0<=i<spanCount) spanCount = continuous ? points.length : points.length - degreeu
- The position (0<=u<=1) on the spanpoints
- The control pointsdegree
- The degree of the b-splinecontinuous
- If true the b-spline restarts at 0 when reaching 1tmp
- A temporary vector used for the calculation- Returns:
- The value of out
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derivative
public static <T extends VectorDouble<T>> T derivative(T out, int i, double u, T[] points, int degree, boolean continuous, T tmp) Calculates the n-degree b-spline derivative for the given span (i) at the given position (u).- Parameters:
out
- The Vectord to set to the result.i
- The span (0<=i<spanCount) spanCount = continuous ? points.length : points.length - degreeu
- The position (0<=u<=1) on the spanpoints
- The control pointsdegree
- The degree of the b-splinecontinuous
- If true the b-spline restarts at 0 when reaching 1tmp
- A temporary vector used for the calculation- Returns:
- The value of out
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set
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valueAt
- Specified by:
valueAt
in interfacePathDouble<T extends VectorDouble<T>>
- Returns:
- The value of the path at t where 0<=t<=1
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valueAt
- Returns:
- The value of the spline at position u of the specified span
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derivativeAt
- Specified by:
derivativeAt
in interfacePathDouble<T extends VectorDouble<T>>
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derivativeAt
- Returns:
- The derivative of the spline at position u of the specified span
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nearest
- Returns:
- The span closest to the specified value
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nearest
- Returns:
- The span closest to the specified value, restricting to the specified spans.
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approximate
- Specified by:
approximate
in interfacePathDouble<T extends VectorDouble<T>>
- Returns:
- The approximated value (between 0 and 1) on the path which is closest to the specified value. Note that the
implementation of this method might be optimized for speed against precision, see
PathDouble.locate(Object)
for a more precise (but more intensive) method.
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approximate
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approximate
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locate
- Specified by:
locate
in interfacePathDouble<T extends VectorDouble<T>>
- Returns:
- The precise location (between 0 and 1) on the path which is closest to the specified value. Note that the
implementation of this method might be CPU intensive, see
PathDouble.approximate(Object)
for a faster (but less precise) method.
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approxLength
public double approxLength(int samples) - Specified by:
approxLength
in interfacePathDouble<T extends VectorDouble<T>>
- Parameters:
samples
- The amount of divisions used to approximate length. Higher values will produce more precise results, but will be more CPU intensive.- Returns:
- An approximated length of the spline through sampling the curve and accumulating the euclidean distances between the sample points.
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