Charge a Lipo with only Constant-Current Stage?
Edited

You can stop charging when voltage reaches maximum voltage.

This is explained in article you mentioned (from Battery University):


  Li-ion does not need to be fully charged, as is the case with lead
  acid, nor is it desirable to do so. In fact, it is better not to fully
  charge, because high voltages stresses the battery. Choosing a lower
  voltage threshold, or eliminating the saturation charge altogether,
  prolongs battery life but this reduces the runtime. Since the consumer
  market promotes maximum runtime, these chargers go for maximum
  capacity rather than extended service life.


Saturation charge is used to store maximum possible charge in battery. If you want maximum service life instead of maximum capacity - this is how to do it. Eliminate saturation charge.

Im assuming you know that Li-Ion is very similar to Li-Po and same rules apply to both types.