For position sensors, e.g., a fiber-based system, that build a shape of an elongated member, such as a catheter, using a sequence of small orientation measurements, a small error in orientation at the proximal end of the sensor will cause large error in position at distal points on the fiber. Exemplary methods and systems are disclosed, which may provide full or partial registration along the length of the sensor to reduce the influence of the measurement error. Additional examples are directed to applying selective filtering at a proximal end of the elongated member to provide a more stable base for distal measurements and thereby reducing the influence of measurement errors.