pol2cart
Transform polar or cylindrical coordinates to Cartesian
Description
Examples
Polar to Cartesian Coordinates
Convert the polar coordinates defined by corresponding entries in the matrices theta
and rho
to two-dimensional Cartesian coordinates x
and y
.
theta = [0 pi/4 pi/2 pi]
theta = 1×4
0 0.7854 1.5708 3.1416
rho = [5 5 10 10]
rho = 1×4
5 5 10 10
[x,y] = pol2cart(theta,rho)
x = 1×4
5.0000 3.5355 0.0000 -10.0000
y = 1×4
0 3.5355 10.0000 0.0000
Cylindrical to Cartesian Coordinates
Convert the cylindrical coordinates defined by corresponding entries in the matrices theta
, rho
, and z
to three-dimensional Cartesian coordinates x
, y
, and z
.
theta = [0 pi/4 pi/2 pi]'
theta = 4×1
0
0.7854
1.5708
3.1416
rho = [1 3 4 5]'
rho = 4×1
1
3
4
5
z = [7 8 9 10]'
z = 4×1
7
8
9
10
[x,y,z] = pol2cart(theta,rho,z)
x = 4×1
1.0000
2.1213
0.0000
-5.0000
y = 4×1
0
2.1213
4.0000
0.0000
z = 4×1
7
8
9
10
Input Arguments
theta
— Angular coordinate
scalar | vector | matrix | multidimensional array
Angular coordinate, specified as a scalar, vector, matrix, or multidimensional array.
theta
, rho
, and
z
must be the same size, or have sizes that are
compatible (for example, theta
is an
M
-by-N
matrix,
rho
is a scalar, and z
is a scalar
or 1
-by-N
row vector). For more
information, see Compatible Array Sizes for Basic Operations.
theta
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
rho
— Radial coordinate
scalar | vector | matrix | multidimensional array
Radial coordinate, specified as a scalar, vector, matrix, or multidimensional array.
theta
, rho
, and
z
must be the same size, or have sizes that are
compatible.
rho
is the distance from the origin to a
point in the x-y plane.
Data Types: single
| double
Complex Number Support: Yes
z
— Elevation coordinate
scalar | vector | matrix | multidimensional array
Elevation coordinate, specified as a scalar, vector, matrix, or multidimensional array.
theta
, rho
, and
z
must be the same size, or have sizes that are
compatible.
z
is the height above the x-y plane.
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 polar and cylindrical coordinates to Cartesian coordinates is:
Extended Capabilities
Tall Arrays
Calculate with arrays that have more rows than fit in memory.
The
pol2cart
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
pol2cart
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 pol2cart
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
MATLAB-Befehl
Sie haben auf einen Link geklickt, der diesem MATLAB-Befehl entspricht:
Führen Sie den Befehl durch Eingabe in das MATLAB-Befehlsfenster aus. Webbrowser unterstützen keine MATLAB-Befehle.
Select a Web Site
Choose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: .
You can also select a web site from the following list:
How to Get Best Site Performance
Select the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.
Americas
- América Latina (Español)
- Canada (English)
- United States (English)
Europe
- Belgium (English)
- Denmark (English)
- Deutschland (Deutsch)
- España (Español)
- Finland (English)
- France (Français)
- Ireland (English)
- Italia (Italiano)
- Luxembourg (English)
- Netherlands (English)
- Norway (English)
- Österreich (Deutsch)
- Portugal (English)
- Sweden (English)
- Switzerland
- United Kingdom (English)