Abstract

I wish to comment on the short note by E. L. Dougherty and S. T. Smith titled “The Use of Linear Programming to Filter Digitized Map Data” which appeared in the February, 1966, issue of Geophysics. First, I would like to congratulate the authors for showing explicitly how Taylor's theory can be used to justify a local polynomial fit. I think, however, that they should have made clear that this same justification is valid for the least squares method. In essence these authors have chosen to make an approximation in the “L1” Norm instead of the “L2” or Least Square Norm (see Rice, 1964).

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