Drain artichokes and chop (about 1-3/4 cup). In skillet, saute garlic in olive oil for about 1 minute; add chopped artichokes and drained pimientos. Cook and stir until mixture is dry but not browned. In another saucepan, bring butter, water, and salt to a boil; add flour all at once. Cook and stir until mixture will form a ball that does not separate. Remove from heat and stir in eggs, one at a time, beating after each addition. Stir in artichokes and cheese. Refrigerate until time to serve. Drop by rounded teaspoonfuls, 3 or 4 at a time in deep fryer, turning once, until desired browness is reached. Remove from oil and drain on absorbent paper. Repeat until all mixture is used.