Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: Linear least-squares fitting of a straight line in a plane

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: Total least-squares fitting of a straight line in a plane

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: Perpendicular distance between a point and a circle in a plane

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: Parabolic projection

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: Position vector and normal vector at a point on a surface

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: A part of a sample test report following the ASME B89.4.10 Standard

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: For the two objective functions shown, it is easier to find the minimum for the one on the left, since it is smoothly varying and since the global minimum is not so much hidden among nearby, local minima

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: A set of points taken around the shape shown could have two maximum inscribed circles, one centered at p and one at q. A least-squares fit to the same data would be unique.

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: Specification of nonuniform profile tolerance. The nominal profile and tolerance zone boundaries will typically be specified in a CAD system, but may be elaborated through basic dimensions on the drawing.

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: ASME defines flatness tolerance specification

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: ISO defines flatness tolerance specification

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: Width of a set of points in a plane

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: An open setup to check for flatness using a surface plate and a dial indicator

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: Fitting a straight line to a curve in a plane

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: Fitting a plane to a surface patch

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: Fitting two parallel planes to two surface patches

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: (a) Example of nonuniform sampling and its refinement and (b) example of uniform sampling and its refinement

Date of download: 11/6/2017 Copyright © ASME. All rights reserved. From: On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology J. Comput. Inf. Sci. Eng. 2011;12(1):011008-011008-15. doi:10.1115/1.3647877 Figure Legend: Convergence using nonuniform discretization