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---
tag: g005
title: Bézier cubic spline
brief: Cubic B-spline with XYE destination and IJPQ offsets
author: thinkyhead
experimental: true
since: 1.1.0
group: motion
codes: [ G5 ]
videos:
- aVwxzDHniEw
notes:
- It is an error if an axis other than `X` or `Y` is specified.
- The first control point is the current position of the head. `XY` is the destination (the last control point of the spline).
- The next control-points are the current position plus `IJ` and the current position plus `PQ`.
- "`I` and `J` can be omitted, which results in these offsets being zero. This produces a 3-point spline (try the [interactive demo](//www.geogebra.org/m/WPHQ9rUt)). However, `P` and `Q` are required (otherwise you just get a linear movement)."
parameters:
-
tag: X
optional: false
description: A destination coordinate on the X axis
values:
-
tag: pos
type: float
-
tag: Y
optional: false
description: A destination coordinate on the Y axis
values:
-
tag: pos
type: float
-
tag: E
optional: true
description: The length of filament to feed into the extruder between the start and end point
values:
-
tag: pos
type: float
-
tag: F
optional: true
description: The maximum feedrate of the move between the start and end point (in current units per second). This value applies to all subsequent moves.
values:
-
tag: rate
type: float
-
tag: I
optional: false
description: Offset from the `X` start point to first control point
values:
-
tag: pos
type: float
-
tag: J
optional: false
description: Offset from the `Y` start point to first control point
values:
-
tag: pos
type: float
-
tag: P
optional: false
description: Offset from the `X` end point to second control point
values:
-
tag: pos
type: float
-
tag: Q
optional: false
description: Offset from the `Y` end point to the second control point
values:
-
tag: pos
type: float
-
tag: S
optional: true
since: 2.0.8
description: Set the Laser power for the move.
values:
-
tag: power
type: float
examples:
-
pre:
- 'For example, to program a curvy "N" shape:'
code:
- G0 X0 Y0
- G5 I0 J3 P0 Q-3 X1 Y1
-
pre:
- 'A second curvy "N" that attaches smoothly to this one can now be made without specifying `I` and `J`:'
code:
- G5 P0 Q-3 X2 Y2
---
`G5` creates a cubic B-spline in the XY plane with the `X` and `Y` axes only. `P` and `Q` parameters are required. `I` and `J` are required for the first `G5` command in a series. For subsequent `G5` commands, either both `I` and `J` must be specified, or neither. If `I` and `J` are unspecified, the starting direction of the cubic will automatically match the ending direction of the previous cubic (as if `I` and `J` are the negation of the previous `P` and `Q`).
See [This interactive demo](//www.geogebra.org/m/WPHQ9rUt) to understand how Bézier control points work.
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