Creating a drawing (CAD) program in Java

I'm in the planning stages of creating a drawing/drafting program in Java, and I'm fairly new to Swing, so I need some guidance.
For a drafting program, I will need to be able to draw all kinds of objects using lines, curves, etc, connected in various ways. One thing I could do is extend JComponent and override the paint() method, and have it put up all the various objects as it repaints. The problem with this is that if a user clicks on an object, how will I detect which object he clicked on? I'll get mouse coordinates, but then how do I go from that to knowing that he clicked on a certain curve, etc?
The alternative is to not extend JComponent, but rather to make each of the individual objects on the screen its own component and then lay them out using absolute positioning. Then I'll get mouse events as the user clicks on things. Is this a better way to do it? And if so, I guess I'll still need to create individual components that represent lines, arcs, curves, etc?
Swing has so many features that it's hard for a beginning to get started into it. Thanks for any tips.

Personally I wouldn't work with Swing for this functionality,
but I would rather work with java 2D instead.
Swing contains to much overhead for the kind of application you plan to develop.
Look for the java.awt.Shape interface and to the java.awt.geom.* implementations of such shapes.
It contains already most of the functionality required for painting and hit-detection of a shape on the
screen.
kind regards,

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Creating a drawing (CAD) program in Java

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