The k-d tree data structure and a proof for neighborhood computation in expected logarithmic time

03/12/2019
by   Martin Skrodzki, et al.
0

For practical applications, any neighborhood concept imposed on a finite point set P is not of any use if it cannot be computed efficiently. Thus, in this paper, we give an introduction to the data structure of k-d trees, first presented by Friedman, Bentley, and Finkel in 1977. After a short introduction to the data structure (Section 1), we turn to the proof of efficiency by Friedman and his colleagues (Section 2). The main contribution of this paper is the translation of the proof of Freedman, Bentley, and Finkel into modern terms and the elaboration of the proof.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset