Electrode assemblies include segmented electrodes disposed on a catheter. The segmented electrodes can be constructed at the tip of the catheter or more proximally located. Tip electrodes can be constructed from an electrically-insulative substrate covered with a conductive material. The conductive material can be deposited on the electrically-insulative substrate to form a single tip electrode or multiple segmented electrodes. In some embodiments the tip electrode can include irrigation flow holes for irrigation. A method of manufacturing a tip electrode comprising a thin layer of conductive material deposited on an electrically-insulative substrate is disclosed. Segmented ring electrodes can be constructed from segmented ring electrodes that can be equally separated around a circumference of a catheter. The segmented ring electrodes can be formed into segmented electrode subassemblies that can then be joined to a catheter shaft.