A roller bearing includes an inner race ring, an outer race ring, and a roller arranged between and in contact with the inner and outer rings. The bearing has a flange (31,131) on the inner race ring at one axial end, and a flange (21,121) on the outer race ring at an opposite axial end. One of the flanges, and/or an end of the roller, includes at least one principal segment (53,153) intermediate two additional segments (52,152; 54,154). The principle segment is tangentially blended with the two additional segments, and the principle segment has a first curvature that is different from the respective curvatures of the two additional segments. A non-elliptical contact footprint can be obtained by composite profiles at the contact location between the roller end and the mating flange face.