Article ID: | iaor20133029 |
Volume: | 66 |
Issue: | 3 |
Start Page Number: | 682 |
End Page Number: | 713 |
Publication Date: | Jul 2013 |
Journal: | Algorithmica |
Authors: | Wang Haitao, Chen Danny |
Keywords: | combinatorial optimization, graphs |
Approximating points by piecewise linear functions is an intensively researched topic in computational geometry. In this paper, we study, based on the uniform error metric, an array of variations of this problem in 2‐D and 3‐D, including points with weights, approximation with violations, using step functions or more generally piecewise linear functions. We consider both the