makeArc

Create a binary map of an arc within a 2D grid.

Syntax

arc = makeArc(grid_size, arc_pos, radius, diameter, focus_pos)
arc = makeArc(grid_size, arc_pos, radius, diameter, focus_pos, ...)

Description

makeArc creates a binary map of an arc within a two-dimensional grid. The arc position is denoted by 1's in the matrix with 0's elsewhere. The arc is found using the mid-point circle algorithm, and is simply connected so that any grid point on the arc will have at most 2 neighbours.

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.

Examples

% define parameters
grid_size = [128, 128];
arc_pos   = [32, 32];
radius    = 60;
diameter  = 61;
focus_pos = grid_size;

% create arc
arc = makeArc(grid_size, arc_pos, radius, diameter, focus_pos, 'Plot', true);

Inputs

grid_size	size of the 2D grid given as a three element vector [Nx, Ny] [grid points]
bowl_pos	midpoint of the arc given as a two element vector [ax, ay] [grid points]
radius	radius of curvature of the arc [grid points]
diameter	aperture diameter (length of line connecting arc endpoints) [grid points]
focus_pos	any point on the beam axis of the arc given as a two element vector [fx, fy] [grid points]

Optional Inputs

Optional 'string', value pairs that may be used to modify the default computational settings.

Input	Valid Settings	Default	Description
'Plot'	(Boolean scalar)	false	Boolean controlling whether the arc is plotted using imagesc.

Outputs

arcs	2D binary map of arcs
arc	2D labelled matrix of arcs

See Also

makeBowl, makeCartArc, makeLine, makeMultiArc