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Variances of Plane Parameters Fitted to Range Data



Marek Franaszek


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.
Journal of Research (NIST JRES) -


3D imaging systems, Nonlinear Least Squares, plane fitting


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 June 24, 2024)


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Created May 5, 2010, Updated February 19, 2017