How to detect if there is an intersection between a line and other existing elements in a figure GUI ?

I have a figure GUI matlab which contains elements like circle-arcs and lines (as shown in the fig below). I will draw a line .But before drawing i would like to verify if there is an intersection between the line and the other elements. If there is, the program should not draw the line.

So, my question is is there a method to detect if there is an intersection easily without having to verify it element by element? Thanks