I already made an image which I want to wrap around a sphere. However, I know if I were to try this, the top and bottom of the sphere would look like they are pinched.
I want to distort the image in a way so that it doesn't look pinched when wrapped around a sphere.
To clarify, I do NOT want to unwrap the sphere, I want to distort the image like the one below has been. I want to know how to do this to any image with no specific size or ratio.
Edit for Billy: The image I posted above has the desired effect which I want, it is not the image that I want to be wrapped around a sphere.
Here is what I mean using the Earth instead of Mars.
See how the top of the first image looks stretched compared to the top image? That stretching is what I want it to have. That way, when the texture is placed on a sphere, the top and the bottom don't look pinched.
After writing all this, I found a great example. My image is like the top one in the picture below. I want it to look like the bottom one in the picture below.
It doesn't look like it was done perfectly, but I hope it gets the idea across.