Abstract
In this paper, we study the violation versions of the planar points approximation problems, which deal with outliers in the input points. We present efficient algorithms for both the step function and the more general piecewise linear function cases, and for both non-weighted and weighted points. Most of our results are first-known. Our algorithms are based on interesting and nontrivial geometric techniques and data structures, which may find other applications.
This research was supported in part by NSF under Grants CCF-0515203 and CCF-0916606.
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Chen, D.Z., Wang, H. (2009). Approximating Points by a Piecewise Linear Function: II. Dealing with Outliers. In: Dong, Y., Du, DZ., Ibarra, O. (eds) Algorithms and Computation. ISAAC 2009. Lecture Notes in Computer Science, vol 5878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10631-6_25
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DOI: https://doi.org/10.1007/978-3-642-10631-6_25
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