Navigation/com.amarcolini.joos.path/ParametricCurve

ParametricCurve

public abstract class ParametricCurve

Parametric curve with two components (x and y). These curves are reparameterized from an internal parameter (t) to the arc length parameter (s). Note that the arc length reparameterization is lazy, meaning that it is computed only when needed. To precompute, use reparameterize.

Inheritors

Constructors

ParametricCurve

public ParametricCurve ParametricCurve()

Types

ArcLengthParameterization

public final class ArcLengthParameterization

Automatically reparameterizes this curve by computing many small samples. This is computationally expensive and should be avoided unless no faster way is available.

Functions

@JvmOverloads()

public final Double curvature(Double s)

@JvmOverloads()

public final Double curvature(Double s, Double t)

Computes the curvature of a parametric curve at the internal parameter t.

@JvmOverloads()

public final Vector2d deriv(Double s)

@JvmOverloads()

public final Vector2d deriv(Double s, Double t)

Returns the derivative s units along the curve.

public final Vector2d end()

Returns the end vector.

public final Vector2d endDeriv()

Returns the end derivative.

public final Vector2d endSecondDeriv()

Returns the end second derivative.

public final Vector2d endThirdDeriv()

Returns the end third derivative.

@JvmOverloads()

public final Vector2d get(Double s)

@JvmOverloads()

public final Vector2d get(Double s, Double t)

Returns the vector s units along the curve.

public abstract Double length()

Returns the length of the curve.

public Double project(Vector2d query)

Returns the nearest point on the curve in terms of the internal parameter t.

public abstract Unit reparameterize()

If this curve can not trivially be reparameterized to an arc length parameter, it should be done here.

@JvmOverloads()

public final Vector2d secondDeriv(Double s)

@JvmOverloads()

public final Vector2d secondDeriv(Double s, Double t)

Returns the second derivative s units along the curve.

public final Vector2d start()

Returns the start vector.

public final Vector2d startDeriv()

Returns the start vector.

startSecondDeriv

public final Vector2d startSecondDeriv()

Returns the start second derivative.

startThirdDeriv

public final Vector2d startThirdDeriv()

Returns the start third derivative.

@JvmOverloads()

public final Angle tangentAngle(Double s)

@JvmOverloads()

public final Angle tangentAngle(Double s, Double t)

Returns the angle of the tangent line s units along the curve.

tangentAngleDeriv

@JvmOverloads()

public final Angle tangentAngleDeriv(Double s)

@JvmOverloads()

public final Angle tangentAngleDeriv(Double s, Double t)

Returns the derivative of the tangent angle s units along the curve.

tangentAngleSecondDeriv

@JvmOverloads()

public final Angle tangentAngleSecondDeriv(Double s)

@JvmOverloads()

public final Angle tangentAngleSecondDeriv(Double s, Double t)

Returns the second derivative of the tangent angle s units along the curve.

@JvmOverloads()

public final Vector2d thirdDeriv(Double s)

@JvmOverloads()

public final Vector2d thirdDeriv(Double s, Double t)

Returns the third derivative s units along the curve.