Skip to main content
U.S. flag

An official website of the United States government

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.

Variances of Plane Parameters Fitted to Range Data

Published

Author(s)

Marek Franaszek

Abstract

Formulas for variances of plane parameters fitted with Nonlinear Least Squares to points cloud acquired by 3D imaging systems (e.g., LADAR) are derived. Two different error functions used in minimization are discussed: the orthogonal and the directional function. Comparison of corresponding formulas suggests the two functions may yield different results when applied to the same dataset.
Citation
Journal of Research (NIST JRES) -

Keywords

3D imaging systems, Nonlinear Least Squares, plane fitting

Citation

Franaszek, M. (2010), Variances of Plane Parameters Fitted to Range Data, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD (Accessed December 30, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created May 5, 2010, Updated February 19, 2017