… , including distilling existing machinery in algebraic geometry and developing new tools, …
in combinatorial and computational geometry. Although in this column we mainly review the …

… This problem is one of the oldest in computational geometry, with multiple applications, eg, in
facility location problems [41]. In higher dimensions, finding the largest empty box has …

… Given an axis-parallel rectangle R in the plane containing n points, the problem of computing
a maximum-area empty axis-parallel sub-rectangle contained in R is one of the oldest problems …

… recognized as Computational Geometry, since they provide inherently geometric problems
… In order to demonstrate the broad scope of computational geometry in a convincing way, we …

… in the theory of algorithms, computational geometry, data structures for databases systems,
… Such problems can be asked in any metric space, however here we focus on geometric …

Computational Geometry Column 49 … Computational Geometry Column 49 … However, it
has long been an unsolved problem to algorithmically reconstruct the geometric shape. …

… Research on specific geometric problems in these areas led to the more general study of
geometric algorithms in the field of Computational Geometry. A lot of efficient geometric …

… This chapter discusses a wide range of topics in computational geometry. Linear programming
is used frequently as a tool for solving geometrical optimization problems. It remains a …

… Computational geometry is fundamentally discrete as opposed to continuous. Computation
with … considered part of another field, often called “geometric modeling.” The emphasis on …

… The objects studied in computational geometry are curves and surfaces. In geometric design,
a surface is generally divided into several patches such that each boundary shared by two …