It is proved that digitM polynomial segments and their least squares polynomial fits are in oneto-one correspondence. This enables an efficient representation of digital polynomial segments by n + 3 pararneters, under the condition that an upper bound, say n, for the degrees of the digitized polynomials is assumed. One of such representations is (zl, rn, an, an-i,..., no), where xl and m are the z-coordinate of the left endpoint and the number of digital points, respectively, while a,, an-l, ..., ao are the coefficients of the least squares polynomial fit Y = onX ~ +on-1X n-1 +...+ a0, for a given digital polynomial segment.