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The segment tree is an extremely versatile data structure. In this paper, anew heap based implementation of segment trees is proposed. In such animplementation of segment tree, the structural information associated with thetree nodes can be removed completely. Some primary computational geometryproblems such as stabbing counting queries, measure of union of intervals, andmaximum clique size of Intervals are used to demonstrate the efficiency of thenew heap based segment tree implementation. Each interval in a set $S=\{I_1,I_2 ,\cdots,I_n\}$ of $n$ intervals can be insert into or delete from the heapbased segment tree in $O(\log n)$ time. All the primary computational geometryproblems can be solved efficiently.

A Simple and Space Efficient Segment Tree Implementation