Discretization errors in particle tracking

被引:2
作者
Carmon, G.
Mamman, N.
Feingold, M. [1 ]
机构
[1] Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel
[2] Ben Gurion Univ Negev, Ilse Katz Ctr Nanotechnol, IL-84105 Beer Sheva, Israel
关键词
particle tracking; microbeads; discretization errors;
D O I
10.1016/j.physa.2006.10.048
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
High precision video tracking of microscopic particles is limited by systematic and random errors. Systematic errors are partly due to the discretization process both in position and in intensity. We study the behavior of such errors in a simple tracking algorithm designed for the case of symmetric particles. This symmetry algorithm uses interpolation to estimate the value of the intensity at arbitrary points in the image plane. We show that the discretization error is composed of two parts: (1) the error due to the discretization of the intensity, b(D) and (2) that due to interpolation, b(I). While b(D) behaves asymptotically like N-1 where N is the number of intensity gray levels, b(I), is small when using cubic spline interpolation. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:117 / 132
页数:16
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