123D Make

Import the 123d catch file( named .obj) to the 123D make, the magic happened.
We can created different various ways of laser cutting method. Some of them would work on your shape, but some would not. Sometimes I would change the 1st and 2nd axis to adjust the number of the slices to let it work, if that failed, then I would use the different cutting angles to get the final result.

Change Slices Number

Different Slice Angle 

My final result is a radical sliced model, which is stable, but also perfectly shows the curve on the different ways, especially on the bottom and the top.

Curve

Interlocked Slices

Final Results ( Radical slices)

Here is a important tip for you guys,
When you open the file, the first thing you should and always keep in mind is to set a custom page for your model. In this case, the page file should be 300*600, which is the material size you can get from the lab and for the laser cut machine. The thickness should be a little bit larger than the material you want to use, for example, if you want to use 3mm plywood, the thickness should be more than 3.3mm which will let u put your slices together more easier.

Page Settings

And when you shape your model, you can use ShrinkWrap tool from Modify tool bar to slightly fix your model.

ShrinkWrap Tool