pivot hinges on kitchen cabinet doors preventing removal for refurbish
If you are particularly interested in keeping the same door hinge system then it may become necessary to take down the cabinet sections where the hinges need to be removed. You already know that the cabinets were installed in a modular manner after they were built due the pivot hinge mounting. Taking down the cabinet would involve first emptying them out. Then search for screws inside the cabinet that go unto the wall studs behind the cabinet or screws that go up into the ceiling or cabinet soffit. In some cases there may be wood strip trim pieces along the cabinet edges against the wall or ceiling that need removing.