The use of data averaging to improve the angular precision of electron back
scattered diffraction (EBSD) maps is discussed. It is shown that orientatio
ns may be conveniently and rapidly averaged using the four Euler-symmetric
parameters which are coefficients of a quaternion representation. The proce
ssing of EBSD data requires the use of an edge preserving filter and a modi
fied Kuwahara filter has been successfully implemented and tested. Three pa
sses of such a filter have been shown to reduce orientation noise by a fact
or of similar to 10. Application of the method to deformed and recovered al
uminium alloys has shown that such data processing enables small subgrain m
isorientation (<0.5<degrees>) to be detected reliably.