NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.
Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.
An official website of the United States government
Here’s how you know
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
Propagation of Error from Registration Parameters to Transformed Data
Published
Author(s)
Mili Shah, Marek Franaszek, Geraldine Cheok
Abstract
Methods to register two sets of data have existed for quite some time. However, these sets of data are rarely error-free. Consequently, any parameters obtained from a registration method will be affected by the error in the sets of data. Moreover, if these registration parameters are then used to formulate a registration matrix to transform data from one coordinate system to another, any error in the registration parameters will also get propagated to the transformed data. In this paper, we will characterize the propagation of random error, or noise, through a mathematical perspective and will illustrate its use with both real and simulated sets of data. In addition, we will discuss the limitations of this propagation of error when systematic bias is present in the data.
Shah, M.
, Franaszek, M.
and Cheok, G.
(2016),
Propagation of Error from Registration Parameters to Transformed Data, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD, [online], https://doi.org/10.6028/jres.121.009, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=917764
(Accessed October 3, 2025)