1. 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): doi: /
Figure Legend:
Linear least-squares fitting of a straight line in a plane

2. 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): doi: /
Figure Legend:
Total least-squares fitting of a straight line in a plane

3. 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): doi: /
Figure Legend:
Perpendicular distance between a point and a circle in a plane

4. 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): doi: /
Figure Legend:
Parabolic projection

5. 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): doi: /
Figure Legend:
Position vector and normal vector at a point on a surface

6. 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): doi: /
Figure Legend:
A part of a sample test report following the ASME B Standard

7. 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): doi: /
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

8. 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): doi: /
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.

9. 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): doi: /
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.

10. 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): doi: /
Figure Legend:
ASME defines flatness tolerance specification

11. 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): doi: /
Figure Legend:
ISO defines flatness tolerance specification

12. 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): doi: /
Figure Legend:
Width of a set of points in a plane

13. 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): doi: /
Figure Legend:
An open setup to check for flatness using a surface plate and a dial indicator

14. 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): doi: /
Figure Legend:
Fitting a straight line to a curve in a plane

15. 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): doi: /
Figure Legend:
Fitting a plane to a surface patch

16. 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): doi: /
Figure Legend:
Fitting two parallel planes to two surface patches

17. 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): doi: /
Figure Legend:
(a) Example of nonuniform sampling and its refinement and (b) example of uniform sampling and its refinement

18. 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): doi: /
Figure Legend:
Convergence using nonuniform discretization