A range space (P, S) consists of a set P of n elements and a collection S = {S1,...,Sm} of subsets of P , referred to as ranges. A hitting set for this range space refers to a subset H of P such that every Si in S contains ...

In this thesis we consider extensions and generalizations of some classical problems in Combinatorial Geometry. Our work is an offshoot of four classical problems in Combinatorial Geometry. A fundamental assumption in these ...

Scalar fields are used to represent physical quantities measured over a domain of interest. Study of symmetric or repeating patterns in scalar fields is important in scientific data analysis because it gives deep insights ...