Seismic mis-ties in a grid of control reduce the reliability of the interpretation. This is especially important in areas of low relief where minor changes in dip are critical. Existing methods for adjusting mis-tie errors generally alter the dip along individual lines. We present a linear programming formulation for adjusting the individual seismic mis-tie errors surface without altering the dip seen on the individual seismic line. First we minimize the maximum intersectional error (minimax objective) and then, given that objective, we minimize the sum of the remaining errors in the grid (minisum objective). This is subject to the constraint that the adjustments along any given line produce no rotation. Thus the original geometry (dip) identified by the interpreter is preserved. The results of a sample problem show that the method substantially reduces mis-tie errors without rotation, and that the adjusted data produce interpretable contours.