Kinetic Nearest Neighbor Search in Black-Box Model

ICCG 2018

4 Pages Posted: 17 Jun 2021

See all articles by Bahram Sadeghi Bigham

Bahram Sadeghi Bigham

Department of Computer Science and Information Technology, Institute for Advanced Studies in Basic Sciences (IASBS), Gava Zang, Zanjan, Iran.

Maryam Nezami

Institute for Advanced Studies in Basic Sciences (IASBS) - Department of Computer Science and IT

Marzieh Eskandari

Department of Computer Science, Mathematical Science Faculty, Alzahra University, Tehran, IRAN

Multiple version iconThere are 2 versions of this paper

Date Written: June 7, 2018

Abstract

Proximity problems is a class of important problems which involve estimation of distances between geometric objects. The nearest neighbor search which is a subset of proximity problems, arises in numerous fields of applications, including Pattern Recognition, Statistical classification, Computer vision and etc. In this study, a nearest neighbor search is presented to move points in the plane, while query point is static. The proposed method works in the black-box KDS model, in which the points location received at regular time steps while at the same time, an upper bound dmax is known on the maximum displacement of any point at each time step. In this paper, a new algorithm is presented for kinetic nearest neighbor search problem in the black-box model, under assumptions on the distribution of the moving point set P. It has been shown how the kinetic nearest neighbor will be updated at each time step in O(k∆k log n) amortized time, where ∆k is the k-spread of a point set P . Key words: Computational Geometry, Black Box Model, Kinetic, Nearest Neighbor.

Keywords: "Computational Geometry, Black Box Model, Kinetic, Nearest Neighbor, Similarity Metric, Similarity, Robotics, Trajectory,Data Science, Localization"

Suggested Citation

Sadeghi Bigham, Bahram and Nezami, Maryam and Eskandari, Marzieh, Kinetic Nearest Neighbor Search in Black-Box Model (June 7, 2018). ICCG 2018, Available at SSRN: https://ssrn.com/abstract=3862148

Bahram Sadeghi Bigham

Department of Computer Science and Information Technology, Institute for Advanced Studies in Basic Sciences (IASBS), Gava Zang, Zanjan, Iran. ( email )

zanjan
Iran
(+98) 24 3315 3379 (Phone)

HOME PAGE: http://iasbs.ac.ir/~b_sadeghi_b/

Maryam Nezami

Institute for Advanced Studies in Basic Sciences (IASBS) - Department of Computer Science and IT ( email )

Iran

Marzieh Eskandari (Contact Author)

Department of Computer Science, Mathematical Science Faculty, Alzahra University, Tehran, IRAN ( email )

Tehran
Iran

HOME PAGE: http://https://staff.alzahra.ac.ir/eskandari/en/

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