how to make intersection?

how i can eliminate the lines in the rectangular and get the intersection point in the first figure ?

and in second one how i can make the zigzag shape in the blue shape if i have the points of the blue one plz help me?

Answer 1

[KSSV]

Read about knnsearch. With this you can pick the nearest point to the given point. Or you can use this file exchange:

https://in.mathworks.com/matlabcentral/fileexchange/22441-curve-intersections