Abstract
Given a set of point in R 2 and data values at the points, we consider the problem of choosing a triangulation so that the resulting piecewise linear interpolating surface minimizes average absolute error, and is visually appealing. We introduce a group of triangulation methods which includes the l 1 and l 2 norm methods of Dyn. Levin and Rippa as special cases. The results of several numerical experiments are presented.
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