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Abstract

We investigate an implicit method to compute a piecewise linear representation of a surface from a
set of sample points. As implicit surface functions we use the weighted sum of piecewise linear kernel functions.
For such a function we can partition Rd in such a way that these functions are linear on the subsets of the partition.
For each subset in the partition we can then compute the zero level set of the function exactly as the intersection of
a hyperplane with the subset.