Structural properties of Quantizer problem solutions

Lovrić, Jakov (2022) Structural properties of Quantizer problem solutions. Doctoral thesis, Friedrich-Alexander-Universität Erlangen-Nürnberg.

Preview

PDF - other Available under License Creative Commons Attribution. Download (27MB) | Preview

Abstract

For a set of objects distributed in the space of a given volume, the Quantizer problem is finding a minimum of the sum of the squared distances between arbitrary spatial positions and the given set. Such optimal configuration tessellates the space in a way that the generating set is placed in the geometric centroids of the Voronoi cells. Obviously, the Quantizer problem has trivial solutions where the generating objects are equidistant. Finding non-trivial, disordered solutions, however, has been a difficult task. The work presented in this thesis addresses precisely this challenge.

Item Type:	Thesis (Doctoral thesis)
Uncontrolled Keywords:	Hyperuniformity; Quantizer problem
Subjects:	TECHNICAL SCIENCES > Computing
Divisions:	Center of Excellence for Advanced Materials and Sensing Devices
Depositing User:	Lovorka Čaja
Date Deposited:	08 Sep 2022 08:38
URI:	http://fulir.irb.hr/id/eprint/7552

Actions (login required)

View Item