Least Squares Fit of Point Clouds

W. Gander

Chapter Chapter 23 in Solving Problems in Scientific Computing Using Maple and MATLAB®, 1997, pp 339-349 from Springer

Abstract: Abstract We consider a least squares problem in coordinate metrology (see [2], [1]): m points of a workpiece, so-called nominal points are given by their exact coordinates from construction plans when the workpiece is in nominal position in a reference frame. We denote the coordinate vectors of the nominal points in this position by $$\text{x}_{1},\dotso\text{x}_{m}, \text{x}_{i}\in R^{n}, 1\le n\le 3$$ .

Keywords: Point Cloud; Orthogonal Matrix; Frobenius Norm; Coordinate Measuring Machine; Polar Decomposition (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1007/978-3-642-97953-8_23

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