Strain Analysis for Geometric Comparisons of Maps

Abstract

Based on the plane theory of elasticity a method is described due to which scalar invariant quantities are derived, useful as criteria for the geometric comparison of two maps representing the same area in common scale. A finite element type method is applied in order to compute strain parameters using translational-, rotational- and scale-free coordinate differences of common points on the two maps under comparison. The interest of such a method in comparative map analyses is discussed and an actual example illustrates the whole procedure.

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