The transfer of fiber from higher-speed rollers, licker-ins, breasts, or swifts, covered with forward-facing teeth, to relatively lower-speed doffers and workers with backward-facing teeth, is analyzed using the mechanics and geometry of the process. The analysis shows that the front angle of the doffer and worker teeth is too large to prevent fibers from slipping off as a result of the pull from the teeth of the swift. The capacity of the doffer and worker teeth to retain fiber is enhanced by cutting steps parallel to the base into the front edge of the tooth, effectively lowering the front angle of the tooth to zero degrees. Teeth with extremely low front angles support fibers until they are perpendicular to the doffer or worker, maximizing retention and transfer. Carding trials on worsted and non-woven cards in a pilot plant reveal benefits attributable to the new wire design. A survey of commercial non-woven processors using the high-efficiency wire on doffers and workers also identified various benefits.