computeSpatialPoints

R2026b

Compute Cartesian coordinates of points from spherical coordinates

Since R2026b

Syntax

[points,phi,theta] = computeSpatialPoints(az,el,r)

Description

[points,phi,theta] = computeSpatialPoints(az,el,r) converts spherical coordinates defined by azimuth, elevation, and radius into Cartesian coordinates. The function also returns the corresponding azimuth and elevation angles in meshgrid format.

Examples

Compute Cartesian Coordinates

Compute Cartesian coordinates for 0 to 360 degrees azimuth and 0 to 90 degrees elevation angles.

[pt, phi, theta] = computeSpatialPoints(0:10:360,0:10:90,1)

pt = 3×370

    1.0000    0.9848    0.9397    0.8660    0.7660    0.6428    0.5000    0.3420    0.1736         0    -0.1736    -0.3420    -0.5000    -0.6428    -0.7660    -0.8660    -0.9397    -0.9848    -1.0000    -0.9848    -0.9397    -0.8660    -0.7660    -0.6428    -0.5000    -0.3420    -0.1736          0     0.1736     0.3420
         0    0.1736    0.3420    0.5000    0.6428    0.7660    0.8660    0.9397    0.9848    1.0000     0.9848     0.9397     0.8660     0.7660     0.6428     0.5000     0.3420     0.1736          0    -0.1736    -0.3420    -0.5000    -0.6428    -0.7660    -0.8660    -0.9397    -0.9848    -1.0000    -0.9848    -0.9397
         0         0         0         0         0         0         0         0         0         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0

phi = 37×10

      0      0      0      0      0      0      0      0      0      0
     10     10     10     10     10     10     10     10     10     10
     20     20     20     20     20     20     20     20     20     20
     30     30     30     30     30     30     30     30     30     30
     40     40     40     40     40     40     40     40     40     40
     50     50     50     50     50     50     50     50     50     50
     60     60     60     60     60     60     60     60     60     60
     70     70     70     70     70     70     70     70     70     70
     80     80     80     80     80     80     80     80     80     80
     90     90     90     90     90     90     90     90     90     90
    100    100    100    100    100    100    100    100    100    100
    110    110    110    110    110    110    110    110    110    110
    120    120    120    120    120    120    120    120    120    120
    130    130    130    130    130    130    130    130    130    130
    140    140    140    140    140    140    140    140    140    140
      ⋮

theta = 37×10

    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
    0    10    20    30    40    50    60    70    80    90
      ⋮

Input Arguments

az — Azimuth angle

scalar | 1-by-N vector

Azimuth angle, specified as a scalar or a 1-by-N vector in degrees. N is the number of azimuth angles.

Data Types: double

el — Elevation angle

scalar | 1-by-M vector

Elevation angle, specified as a scalar or a 1-by-M vector in degrees. M is the number of elevation angles.

Data Types: double

r — Radius

scalar | M-by-N matrix

Radius, specified as a scalar or an M-by-N matrix in meters.

Data Types: double

Output Arguments

points — Cartesian coordinates

3-by-P matrix

Cartesian coordinates, returned as a 3-by-P matrix. P is the total number of points formed by all combinations of azimuth and elevation values (M*N).

Data Types: double

phi — Azimuth angles in mesh grid format

scalar | M-by-N matrix

Azimuth angles in meshgrid format, returned as a scalar or an M-by-N matrix in degrees. M is the number of input elevation angles and N is the number of input azimuth angles. Each element represents the azimuth angle associated with a corresponding point in the spatial grid.

Data Types: double

theta — Elevation angles in mesh grid format

scalar | M-by-N matrix

Elevation angles in meshgrid format, returned as a scalar or an M-by-N matrix in degrees. M is the number of input elevation angles and N is the number of input azimuth angles. Each element represents the elevation angle associated with a corresponding point in the spatial grid.

Data Types: double

Version History

Introduced in R2026b