Documentation

This is machine translation

Translated by Microsoft
Mouse over text to see original. Click the button below to return to the English verison of the page.

我们为许可用户提供了部分翻译好的中文文档。您只需登录便可查阅这些文档

pol2cart

Transform polar or cylindrical coordinates to Cartesian

Syntax

  • [x,y] = pol2cart(theta,rho)
    example
  • [x,y,z] = pol2cart(theta,rho,z)
    example

Description

example

[x,y] = pol2cart(theta,rho) transforms corresponding elements of the polar coordinate arrays theta and rho to two-dimensional Cartesian, or xy, coordinates.

example

[x,y,z] = pol2cart(theta,rho,z) transforms corresponding elements of the cylindrical coordinate arrays theta, rho, and z to three-dimensional Cartesian, or xyz, coordinates.

Examples

collapse all

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 =

         0    0.7854    1.5708    3.1416

rho = [5 5 10 10]
rho =

     5     5    10    10

[x,y] = pol2cart(theta,rho)
x =

    5.0000    3.5355    0.0000  -10.0000


y =

         0    3.5355   10.0000    0.0000

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 =

         0
    0.7854
    1.5708
    3.1416

rho = [1 3 4 5]'
rho =

     1
     3
     4
     5

z = [7 8 9 10]'
z =

     7
     8
     9
    10

[x,y,z] = pol2cart(theta,rho,z)
x =

    1.0000
    2.1213
    0.0000
   -5.0000


y =

         0
    2.1213
    4.0000
    0.0000


z =

     7
     8
     9
    10

Input Arguments

collapse all

Angular coordinate, specified as a scalar, vector, matrix, or multidimensional array. theta, rho, and z must be the same size, or any of them can be scalar.

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

Radial coordinate, specified as a scalar, vector, matrix, or multidimensional array. theta, rho, and z must be the same size, or any of them can be scalar.

rho is the distance from the origin to a point in the x-y plane.

Data Types: single | double
Complex Number Support: Yes

Elevation coordinate, specified as a scalar, vector, matrix, or multidimensional array. theta, rho, and z must be the same size, or any of them can be scalar.

z is the height above the x-y plane.

Data Types: single | double
Complex Number Support: Yes

Output Arguments

collapse all

Cartesian coordinates, returned as arrays.

More About

collapse all

Tall Array Support

This function fully supports tall arrays. For more information, see Tall Arrays.

Algorithms

The mapping from polar and cylindrical coordinates to Cartesian coordinates is:

See Also

| |

Introduced before R2006a


Was this topic helpful?