Analysis of the Weight Function for Implicit Moving Least Squares Techniques
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چکیده
In this paper, we analyze the weight functions used in implicit moving least squares (IMLS) methods to construct implicit surfaces that interpolate or approximate polygon soup. We found that one method that presented an analytic solution to the integrated moving least squares method has issues with degeneracies because they changed the weight functions to decrease too slowly. We derive bounds for the choice of weight functions for IMLS methods to avoid these degeneracies for manifold data in two-dimensions and in three-dimensions.
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تاریخ انتشار 2017