abstract class ParametricCurve (source)
Parametric curve with two components (x and y). These curves are reparameterized from an internal parameter (t) to the arc length parameter (s).
<init> |
Parametric curve with two components (x and y). These curves are reparameterized from an internal parameter (t) to the arc length parameter (s). ParametricCurve() |
deriv |
Returns the derivative s units along the curve. fun deriv(s: Double, t: Double = reparam(s)): Vector2d |
end |
Returns the end vector. fun end(): Vector2d |
endDeriv |
Returns the end derivative. fun endDeriv(): Vector2d |
endSecondDeriv |
Returns the end second derivative. fun endSecondDeriv(): Vector2d |
endThirdDeriv |
Returns the end third derivative. fun endThirdDeriv(): Vector2d |
get |
Returns the vector s units along the curve. operator fun get(s: Double, t: Double = reparam(s)): Vector2d |
length |
Returns the length of the curve. abstract fun length(): Double |
secondDeriv |
Returns the second derivative s units along the curve. fun secondDeriv(s: Double, t: Double = reparam(s)): Vector2d |
start |
Returns the start vector. fun start(): Vector2d |
startDeriv |
Returns the start derivative. fun startDeriv(): Vector2d |
startSecondDeriv |
Returns the start second derivative. fun startSecondDeriv(): Vector2d |
startThirdDeriv |
Returns the start third derivative. fun startThirdDeriv(): Vector2d |
tangentAngle |
Returns the angle of the tangent line s units along the curve. fun tangentAngle(s: Double, t: Double = reparam(s)): Double |
tangentAngleDeriv |
Returns the derivative of the tangent angle s units along the curve. fun tangentAngleDeriv(s: Double, t: Double = reparam(s)): Double |
tangentAngleSecondDeriv |
Returns the second derivative of the tangent angle s units along the curve. fun tangentAngleSecondDeriv(s: Double, t: Double = reparam(s)): Double |
thirdDeriv |
Returns the third derivative s units along the curve. fun thirdDeriv(s: Double, t: Double = reparam(s)): Vector2d |
LineSegment |
Parametric representation of a line. class LineSegment : ParametricCurve |
QuinticSpline |
Combination of two quintic polynomials into a 2D quintic spline. See this short paper for some motivation and implementation details. class QuinticSpline : ParametricCurve |