sph2cart
Transform spherical coordinates to Cartesian
Description
Examples
Spherical to Cartesian Coordinates
Convert the spherical coordinates defined by corresponding entries in the matrices az
, el
, and r
to Cartesian coordinates x
, y
, and z
. These points correspond to the eight vertices of a cube.
az = [0.7854 0.7854 -0.7854 -0.7854; 2.3562 2.3562 -2.3562 -2.3562]
az = 2×4
0.7854 0.7854 -0.7854 -0.7854
2.3562 2.3562 -2.3562 -2.3562
el = [0.6155 -0.6155 0.6155 -0.6155; 0.6155 -0.6155 0.6155 -0.6155]
el = 2×4
0.6155 -0.6155 0.6155 -0.6155
0.6155 -0.6155 0.6155 -0.6155
r = 1.7321*ones(2,4)
r = 2×4
1.7321 1.7321 1.7321 1.7321
1.7321 1.7321 1.7321 1.7321
[x,y,z] = sph2cart(az,el,r)
x = 2×4
1.0000 1.0000 1.0000 1.0000
-1.0000 -1.0000 -1.0000 -1.0000
y = 2×4
1.0000 1.0000 -1.0000 -1.0000
1.0000 1.0000 -1.0000 -1.0000
z = 2×4
1.0001 -1.0001 1.0001 -1.0001
1.0001 -1.0001 1.0001 -1.0001
Input Arguments
azimuth
— Azimuth angle
scalar | vector | matrix | multidimensional array
Azimuth angle, specified as a scalar, vector, matrix, or multidimensional array.
azimuth
, elevation
, and
r
must be the same size, or have sizes that are
compatible (for example, azimuth
is an
M
-by-N
matrix,
elevation
is a scalar, and r
is a
scalar or 1
-by-N
row vector). For more
information, see Compatible Array Sizes for Basic Operations.
azimuth
is the counterclockwise angle in
the x-y plane measured in radians
from the positive x-axis.
Data Types: single
| double
Complex Number Support: Yes
elevation
— Elevation angle
scalar | vector | matrix | multidimensional array
Elevation angle, specified as a scalar, vector, matrix, or multidimensional array.
azimuth
, elevation
, and
r
must be the same size, or have sizes that are
compatible.
elevation
is the elevation angle in radians
from the x-y plane.
Data Types: single
| double
Complex Number Support: Yes
r
— Radius
scalar | vector | matrix | multidimensional array
Radius, specified as a scalar, vector, matrix, or multidimensional array.
azimuth
, elevation
, and
r
must be the same size, or have sizes that are
compatible.
The length units of r
can be arbitrary, and
the output arrays x
, y
, and z
use
the same units.
Data Types: single
| double
Complex Number Support: Yes
Output Arguments
x,y,z
— Cartesian coordinates
arrays
Cartesian coordinates, returned as arrays.
Algorithms
The mapping from spherical coordinates to three-dimensional Cartesian coordinates is
x = r .* cos(elevation) .* cos(azimuth) y = r .* cos(elevation) .* sin(azimuth) z = r .* sin(elevation)
Extended Capabilities
Tall Arrays
Calculate with arrays that have more rows than fit in memory.
The
sph2cart
function fully supports tall arrays. For more information,
see Tall Arrays.
C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.
Usage notes and limitations:
If you use
sph2cart
with single type and double type operands, the generated code might not produce the same result as MATLAB®. See Binary Element-Wise Operations with Single and Double Operands (MATLAB Coder).
GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.
Thread-Based Environment
Run code in the background using MATLAB® backgroundPool
or accelerate code with Parallel Computing Toolbox™ ThreadPool
.
This function fully supports thread-based environments. For more information, see Run MATLAB Functions in Thread-Based Environment.
GPU Arrays
Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.
The sph2cart
function
fully supports GPU arrays. To run the function on a GPU, specify the input data as a gpuArray
(Parallel Computing Toolbox). For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).
Distributed Arrays
Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.
This function fully supports distributed arrays. For more information, see Run MATLAB Functions with Distributed Arrays (Parallel Computing Toolbox).
Version History
Introduced before R2006a
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