In my image processing project, I have already obtained a masked image (black-and-white image) and its contours using the cv.findContours function. My goal now is to create an algorithm that can draw a middle line for this contour. The masked image and its contour are shown in the following images.
Masked image:

Contour:

In my imagination, for that contour, I would like to create a middle line which is near horizontal. I have manually marked my ideal middle line in red. Please check the following image for the red middle line that I have mentioned.
Contour with the middle line:

It is noticeable that my ultimate goal is to find the tip point that I have marked in yellow. If you have other ideas that can directly find the yellow tip point, please also let me know. For finding the yellow tip point, I have tried two approaches cv.convexHull and cv.minAreaRect, but the issue is the robustness. I made these two approaches worked for some images but for some other images in my dataset, they are not working very well. Therefore, I think to find the middle line might be a good approach that I can try.




