The present application relates to the gradual formation and the same profile combination tenon and slot cutter blade
shape space curve parameterization design method, including the following steps: step one, shooting tenon and slot image; Step two, tenon and slot shape curve is discrete; Step three, calculate
control point and fit approximation curve; Step four, the same profile cutter
tooth space curve design: step five, gradual formation type cutter
tooth space curve design; Step six, tenon and slot broach cutter
tooth space curve output. The present application reduces the difficulty of tenon and slot
broaching cutter space curve parameterization design; The parameterization of the cutter blade space curve realizes the unity of parameter selection, improves the stability of the broach design, and proposes the transition boundary and method of the gradual formation and the same profile combination, solves the problem of difficult to determine the gradual formation and the same profile transition method, reduces the design difficulty; At the same time, the parameterization design solves the long cycle and low efficiency problem of the traditional design method, improves the design efficiency of the broach, and reduces the cost of broach design and manufacturing.