An abstract base class for creating a [name] object that contains methods for interpolation. For an array of [name]s see [page:CurvePath].

This constructor creates a new [name].

This value determines the amount of divisions when calculating the cumulative segment lengths of a curve via [page:.getLengths]. To ensure precision when using methods like [page:.getSpacedPoints], it is recommended to increase [page:.arcLengthDivisions] if the curve is very large. Default is 200.

[page:Float t] - A position on the curve. Must be in the range [ 0, 1 ].

[page:Vector optionalTarget] — (optional) If specified, the result will be copied into this Vector,
otherwise a new Vector will be created.

Returns a vector for a given position on the curve.

[page:Float u] - A position on the curve according to the arc length. Must be in the range [ 0, 1 ].

[page:Vector optionalTarget] — (optional) If specified, the result will be copied into this Vector,
otherwise a new Vector will be created.

Returns a vector for a given position on the curve according to the arc length.

divisions -- number of pieces to divide the curve into. Default is *5*.

Returns a set of divisions + 1 points using getPoint( t ).

divisions -- number of pieces to divide the curve into. Default is *5*.

Returns a set of divisions + 1 equi-spaced points using getPointAt( u ).

Get total curve arc length.

Get list of cumulative segment lengths.

Update the cumlative segment distance cache. The method must be called every time curve parameters are changed. If an updated curve is part of a composed curve like [page:CurvePath], [page:.updateArcLengths]() must be called on the composed curve, too.

Given u in the range ( 0 .. 1 ), returns [page:Float t] also in the range ( 0 .. 1 ). u and t can then be used to give you points which are equidistant from the ends of the curve, using [page:.getPoint].

[page:Float t] - A position on the curve. Must be in the range [ 0, 1 ].

[page:Vector optionalTarget] — (optional) If specified, the result will be copied into this Vector,
otherwise a new Vector will be created.

Returns a unit vector tangent at t. If the derived curve does not implement its
tangent derivation, two points a small delta apart will be used to find its gradient
which seems to give a reasonable approximation.

[page:Float u] - A position on the curve according to the arc length. Must be in the range [ 0, 1 ].

[page:Vector optionalTarget] — (optional) If specified, the result will be copied into this Vector,
otherwise a new Vector will be created.

Returns tangent at a point which is equidistant to the ends of the curve from the
point given in [page:.getTangent].

Generates the Frenet Frames. Requires a curve definition in 3D space. Used in geometries like [page:TubeGeometry] or [page:ExtrudeGeometry].

Creates a clone of this instance.

Copies another [name] object to this instance.

Returns a JSON object representation of this instance.

Copies the data from the given JSON object to this instance.

[link:https://github.com/mrdoob/three.js/blob/master/src/[path].js src/[path].js]