A method of processing azimuthal measurement data includes: receiving a plurality of data values generated by a rotating measurement tool, the measurement tool including at least one measurement sensor and configured to rotate and measure a signal at each of a plurality of azimuthal orientations; associating each received data value with an azimuthal orientation; selecting one or more data values that provide sufficient information regarding a measured signal, each of the selected data values having an associated azimuthal orientation; disregarding azimuthal orientations associated with one or more data values that provide insufficient information regarding a measured signal; and fitting only the selected data values to a sinusoidal curve.