Calculus and Plot of a simple polar stereographic projection

Hey I wonder if anyone could give me a hand or some tips, since i am new to matlab trying to figure out the following problem.

I wanted to create a small programm which represents a polar stereographic projection. It should contain a sphere, with polarcoordinates ( latitude lambda, longitude phi). The projection centre should be in the north pole and on the opposing side there should be a tangent plane with coordinates ( alpha and m ). I want to insert any point A on the sphere with coordinates ( lambda and phi) and the programm calculates the procetion point A' on the tangental plane with coordinates ( alpha and m).

Calculus for coordinates of the Procetion point A'(m,alpha)

m=2 r (radius of the sphere) tan(((pi/2)-phi)/2) where phi is the first coordinate of the inserted point A

alpha = lambda where lambda is the second coordinate of the inserted point A

And i wanted to plot the sphere, the projection centre, the tangental plane and both points A and A'.

I would be happy about an answer. Have a great day, Valentin

Answer 1

[Divya Yerraguntla]

Hi,

Have a look at this MATLAB function:

https://www.mathworks.com/help/map/stereo.html?searchHighlight=stereo&s_tid=doc_srchtitle

You could also refer similar questions :

https://www.mathworks.com/matlabcentral/answers/380045-how-to-plot-a-variable-azimuth-inclination-in-a-polar-plot-or-a-stereographic-projection-system

https://www.mathworks.com/matlabcentral/answers/270248-how-can-i-plot-polar-stereographic-projection