Hit detection for GWT canvas - which strategy for drawings?

I'm creating some kind of drawings/flowchart/UML-diagram like tool with GWT Canvas (Java).
For hit-detection of my drawings I could imagine 3 different strategies, but I do not know which would work best for my goal.

-  Just keep track of all Shape coordinates and iterate all objects on mouseclick
-  draw all objects on a ghost-canvas on mouseclick, and use isPointInPath() after every object drawing
- using a ghost-canvas and draw each object with its own color (like #000001, #000002), and keep reference of them in a Map<Color, Shape>. Then just detecting the mouseclick on the ghost-canvas and get the object belonging to the pixelcolor under mouse

What would you prefer, and why?

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