makeCartArc
Create evenly distributed Cartesian points covering an arc.
Syntax
arc = makeCartArc(arc_pos, radius, diameter, focus_pos, num_points, plot_arc)
Description
makeCartArc
creates a 2 x num_points
array of the Cartesian coordinates of points evenly distributed over an arc. The midpoint of the arc is set by arc_pos
. The orientation of the arc is set by focus_pos
, which corresponds to any point on the axis of the arc (note, this must not be equal to arc_pos
). It is assumed that the arc angle is equal to or less than pi radians. If the radius is set to inf, a line is generated.
Note, the first and last points do not lie on the end-points of the underlying canonical arc, but are offset by half the angular spacing between the points. The plot that is displayed after calling makeCartArc([0, 0], 60e-3, 60e-3, [1, 0], 30, true);
is given below.

Inputs
arc_pos |
Centre of the rear surface (midpoint) of the arc given as a two element vector [bx, by] [m] |
radius |
Radius of curvature of the arc [m] |
diameter |
Diameter of the opening of the arc (length of line connecting arc endpoints) [m] |
focus_pos |
Any point on the beam axis of the arc given as a two element vector [fx, fy] [m] |
num_points |
number of points on the arc |
Optional Inputs
plot_arc |
Boolean controlling whether the Cartesian points are plotted (default = false) |
Outputs
points |
2 x num_points array of Cartesian points |
See Also
makeArc
, makeCartDisc