What did you mean with curves ?
The Cut Master 81 has the maximum cut capacity at 1", with some bevel. For genuine cut the capacity of machine is 7/8", this means a cut with quality, minumum bevel.
I think that for your application the machines will fit is Cut Master 151, if the process is automated.
For manual process Cut Master 81 can meet you expectations even the machine will work at its maximum.
I said that all above assuming the material is mild steel.