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Craig M. Shakarji
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Proceedings Papers

Primary and Secondary Datum Planes Using Constrained Least Squares As An Efficient, Robust Solution for Standardization

Craig M. Shakarji, Vijay Srinivasan
Proc. ASME. IMECE2023, Volume 3: Advanced Manufacturing, V003T03A062, October 29–November 2, 2023
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2023-117014
https://doi.org/10.1115/IMECE2023-117014
View Paper titled, Primary and Secondary Datum Planes Using Constrained Least Squares As An Efficient, Robust Solution for Standardization
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Journal Articles

Toward a New Mathematical Definition of Datums in Standards to Support Advanced Manufacturing

Craig M. Shakarji, Vijay Srinivasan
Journal: Journal of Computing and Information Science in Engineering
Publisher: ASME
Article Type: Research Papers
J. Comput. Inf. Sci. Eng. April 2023, 23(2): 021013.
Paper No: JCISE-20-1323
https://doi.org/10.1115/1.4054304
Published Online: June 16, 2022
View Article titled, Toward a New Mathematical Definition of Datums in Standards to Support Advanced Manufacturing
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Topics: Fittings, Manufacturing
Proceedings Papers

Standards for Evaluating the Influence of Materials on the Performance of X-Ray Computed Tomography in Measuring Geometric Variability

Craig M. Shakarji, Vijay Srinivasan, Vincent D. Lee, Meghan Shilling, Bala Muralikrishnan
Proc. ASME. IMECE2020, Volume 2B: Advanced Manufacturing, V02BT02A066, November 16–19, 2020
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2020-24651
https://doi.org/10.1115/IMECE2020-24651
View Paper titled, Standards for Evaluating the Influence of Materials on the Performance of X-Ray Computed Tomography in Measuring Geometric Variability
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Topics: Computerized tomography
Journal Articles

On Algorithms and Heuristics for Constrained Least-Squares Fitting of Circles and Spheres to Support Standards

Craig M. Shakarji, Vijay Srinivasan
Journal: Journal of Computing and Information Science in Engineering
Publisher: ASME
Article Type: Research-Article
J. Comput. Inf. Sci. Eng. September 2019, 19(3): 031012.
Paper No: JCISE-18-1240
https://doi.org/10.1115/1.4043226
Published Online: May 15, 2019
View Article titled, On Algorithms and Heuristics for Constrained Least-Squares Fitting of Circles and Spheres to Support Standards
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Topics: Algorithms, Fittings
Proceedings Papers

On Algorithms and Heuristics for Constrained Least-Squares Fitting of Circles and Spheres to Support Standards

Craig M. Shakarji, Vijay Srinivasan
Proc. ASME. IDETC-CIE2018, Volume 1B: 38th Computers and Information in Engineering Conference, V01BT02A032, August 26–29, 2018
Publisher: American Society of Mechanical Engineers
Paper No: DETC2018-85109
https://doi.org/10.1115/DETC2018-85109
View Paper titled, On Algorithms and Heuristics for Constrained Least-Squares Fitting of Circles and Spheres to Support Standards
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Topics: Algorithms, Fittings, Dimensions, Engineering standards, Metrology
Journal Articles

Convexity and Optimality Conditions for Constrained Least-Squares Fitting of Planes and Parallel Planes to Establish Datums

Craig M. Shakarji, Vijay Srinivasan
Journal: Journal of Computing and Information Science in Engineering
Publisher: ASME
Article Type: Research-Article
J. Comput. Inf. Sci. Eng. March 2019, 19(1): 011002.
Paper No: JCISE-18-1064
https://doi.org/10.1115/1.4041226
Published Online: October 18, 2018
View Article titled, Convexity and Optimality Conditions for Constrained Least-Squares Fitting of Planes and Parallel Planes to Establish Datums
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Topics: Fittings, Hull, Composite materials, Optimization, Theorems (Mathematics)
Proceedings Papers

Toward a New Mathematical Definition of Datums in Standards to Support Advanced Manufacturing

Craig M. Shakarji, Vijay Srinivasan
Proc. ASME. MSEC2018, Volume 3: Manufacturing Equipment and Systems, V003T02A016, June 18–22, 2018
Publisher: American Society of Mechanical Engineers
Paper No: MSEC2018-6305
https://doi.org/10.1115/MSEC2018-6305
View Paper titled, Toward a New Mathematical Definition of Datums in Standards to Support Advanced Manufacturing
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Topics: Manufacturing, Design, Fittings
Journal Articles

Optimality Conditions for Constrained Least-Squares Fitting of Circles, Cylinders, and Spheres to Establish Datums

Craig M. Shakarji, Vijay Srinivasan
Journal: Journal of Computing and Information Science in Engineering
Publisher: ASME
Article Type: Research-Article
J. Comput. Inf. Sci. Eng. September 2018, 18(3): 031008.
Paper No: JCISE-17-1201
https://doi.org/10.1115/1.4039583
Published Online: June 12, 2018
View Article titled, Optimality Conditions for Constrained Least-Squares Fitting of Circles, Cylinders, and Spheres to Establish Datums
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Topics: Cylinders, Fittings
Proceedings Papers

Convexity and Optimality Conditions for Constrained Least-Squares Fitting of Planes and Parallel Planes to Establish Datums

Craig M. Shakarji, Vijay Srinivasan
Proc. ASME. IMECE2017, Volume 2: Advanced Manufacturing, V002T02A105, November 3–9, 2017
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2017-70899
https://doi.org/10.1115/IMECE2017-70899
View Paper titled, Convexity and Optimality Conditions for Constrained Least-Squares Fitting of Planes and Parallel Planes to Establish Datums
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Topics: Fittings, Algorithms, Design, Manufacturing
Proceedings Papers

Optimality Conditions for Constrained Least-Squares Fitting of Circles, Cylinders, and Spheres to Establish Datums

Craig M. Shakarji, Vijay Srinivasan
Proc. ASME. IDETC-CIE2017, Volume 1: 37th Computers and Information in Engineering Conference, V001T02A074, August 6–9, 2017
Publisher: American Society of Mechanical Engineers
Paper No: DETC2017-67143
https://doi.org/10.1115/DETC2017-67143
View Paper titled, Optimality Conditions for Constrained Least-Squares Fitting of Circles, Cylinders, and Spheres to Establish Datums
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Topics: Cylinders, Fittings, Algorithms, Design, Manufacturing, Optimization
Proceedings Papers

Computational Investigations for a New, Constrained Least-Squares Datum Definition for Circles, Cylinders, and Spheres

Craig M. Shakarji, Vijay Srinivasan
Proc. ASME. IMECE2016, Volume 11: Systems, Design, and Complexity, V011T15A007, November 11–17, 2016
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2016-67753
https://doi.org/10.1115/IMECE2016-67753
View Paper titled, Computational Investigations for a New, Constrained Least-Squares Datum Definition for Circles, Cylinders, and Spheres
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Topics: Cylinders, Shapes, Stability, Computer-aided design, Engineering drawings
Proceedings Papers

A Constrained L 2 Based Algorithm for Standardized Planar Datum Establishment

Craig M. Shakarji, Vijay Srinivasan
Proc. ASME. IMECE2015, Volume 11: Systems, Design, and Complexity, V011T14A023, November 13–19, 2015
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2015-50654
https://doi.org/10.1115/IMECE2015-50654
View Paper titled, A Constrained L 2 Based Algorithm for Standardized Planar Datum Establishment
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Topics: Algorithms, Stability, Testing
Journal Articles

Datum Planes Based on a Constrained L 1 Norm

Craig M. Shakarji, Vijay Srinivasan
Journal: Journal of Computing and Information Science in Engineering
Publisher: ASME
Article Type: Research-Article
J. Comput. Inf. Sci. Eng. December 2015, 15(4): 041008.
Paper No: JCISE-15-1017
https://doi.org/10.1115/1.4031827
Published Online: November 2, 2015
View Article titled, Datum Planes Based on a Constrained L 1 Norm
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Topics: Algorithms
Proceedings Papers

An Improved L 1 Based Algorithm for Standardized Planar Datum Establishment

Craig M. Shakarji, Vijay Srinivasan
Proc. ASME. IDETC-CIE2014, Volume 1B: 34th Computers and Information in Engineering Conference, V01BT02A019, August 17–20, 2014
Publisher: American Society of Mechanical Engineers
Paper No: DETC2014-35461
https://doi.org/10.1115/DETC2014-35461
View Paper titled, An Improved L 1 Based Algorithm for Standardized Planar Datum Establishment
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Topics: Algorithms, Fittings
Proceedings Papers

Theory and Algorithms for L 1 Fitting Used for Planar Datum Establishment in Support of Tolerancing Standards

Craig M. Shakarji, Vijay Srinivasan
Proc. ASME. IDETC-CIE2013, Volume 2B: 33rd Computers and Information in Engineering Conference, V02BT02A010, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-12372
https://doi.org/10.1115/DETC2013-12372
View Paper titled, Theory and Algorithms for L 1 Fitting Used for Planar Datum Establishment in Support of Tolerancing Standards
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Topics: Algorithms, Fittings, Coordinate measuring machines, Hull, Weight (Mass)
Proceedings Papers

Fitting Weighted Total Least-Squares Planes and Parallel Planes to Support Tolerancing Standards

Craig M. Shakarji, Vijay Srinivasan
Proc. ASME. IDETC-CIE2012, Volume 2: 32nd Computers and Information in Engineering Conference, Parts A and B, 449-459, August 12–15, 2012
Publisher: American Society of Mechanical Engineers
Paper No: DETC2012-70398
https://doi.org/10.1115/DETC2012-70398
View Paper titled, Fitting Weighted Total Least-Squares Planes and Parallel Planes to Support Tolerancing Standards
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Topics: Fittings, Algorithms, Eigenvalues, Computer software, Coordinate measuring machines, Metrology, Slabs, Weight (Mass)
Journal Articles

Theory and Algorithms for Weighted Total Least-Squares Fitting of Lines, Planes, and Parallel Planes to Support Tolerancing Standards

Craig M. Shakarji, Vijay Srinivasan
Journal: Journal of Computing and Information Science in Engineering
Publisher: ASME
Article Type: Research-Article
J. Comput. Inf. Sci. Eng. September 2013, 13(3): 031008.
Paper No: JCISE-12-1174
https://doi.org/10.1115/1.4024854
Published Online: August 16, 2013
View Article titled, Theory and Algorithms for Weighted Total Least-Squares Fitting of Lines, Planes, and Parallel Planes to Support Tolerancing Standards
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Topics: Algorithms, Fittings, Eigenvalues, Theorems (Mathematics)
Journal Articles

On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology

Vijay Srinivasan, Craig M. Shakarji, Edward P. Morse
Journal: Journal of Computing and Information Science in Engineering
Publisher: ASME
Article Type: Research Papers
J. Comput. Inf. Sci. Eng. March 2012, 12(1): 011008.
https://doi.org/10.1115/1.3647877
Published Online: December 21, 2011
View Article titled, On the Enduring Appeal of Least-Squares Fitting in Computational Coordinate Metrology
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Topics: Fittings, Metrology