makeSphere

Create a binary map of a sphere within a 3D grid.

Syntax

sphere = makeSphere(Nx, Ny, Nz, radius)
sphere = makeSphere(Nx, Ny, Nz, radius, plot_sphere)
sphere = makeSphere(Nx, Ny, Nz, radius, plot_sphere, binary)
sphere = makeSphere(Nx, Ny, Nz, radius, [], binary)

Description

makeSphere creates a binary map of a spherical shell (using an extension of the midpoint circle algorithm) within a three-dimensional grid. The sphere position is denoted by 1's in the matrix with 0's elsewhere. If the Boolean input parameter binary is set to false (the default), the sphere map is returned as a double precision matrix. If it is set to true, the map is returned as a logical matrix. A visualisation of the 3D grid returned by calling makeSphere(64, 64, 64, 20, true); and a cut away showing the singel grid point thickness (for illustrative purposes only) are given below.

Inputs

Nx, Ny, Nz	size of the 3D grid [grid points]
radius	sphere radius [grid points]

Optional Inputs

plot_sphere	Boolean controlling whether the sphere is plotted using voxelPlot (default = false)
binary	Boolean controlling whether the sphere map is returned as a double precision matrix (false) or a logical matrix (true) (default = false)

Outputs

sphere

3D binary map of a sphere

Examples

• Focussed Detector in 3D
• 3D Time Reversal For A Spherical Sensor

See Also

makeBall, makeCartSphere, makeCircle, makeSphericalSection