F. Zhu, J. Tan, and J. Cui, “Common-path design criteria for laser datum based measurement of small angle deviations and laser autocollimation methods in compliance with the criteria with high accuracy and stability,” Opt. Express21, 188494 (2013).

K. Li, C. Kuang, and X. Liu, “Small angular displacement measurement based on an autocollimator and a common-path compensation principle,” Rev. Sci. Instrum.84(1), 015108 (2013).

[CrossRef]
[PubMed]

C. Y. Tsai, “Exact analytical approach for six-degree-of-freedom measurement using image-orientation-change method,” J. Opt. Soc. Am. A-Opt. Im. Sci. Vision.29, 385–393 (2012).

D. P. Burt, P. S. Dobson, K. E. Docherty, C. W. Jones, R. K. Leach, S. Thoms, J. M. Weaver, and Y. Zhang, “Aperiodic interferometer for six degrees of freedom position measurement,” Opt. Lett.37(7), 1247–1249 (2012).

[CrossRef]
[PubMed]

Y. Zhai, Q. Feng, and B. Zhang, “A simple roll measurement method based on a rectangular-prism,” Opt. Laser Technol.44(4), 839–843 (2012).

[CrossRef]

F. You, B. Zhang, and Q. Feng, “A novel laser straightness measurement method with a beam bend compensation,” Optik (Stuttg.)122(17), 1530–1534 (2011).

[CrossRef]

F. You, Q. Feng, and B. Zhang, “Straightness error measurement based on common-path compensation for laser beam drift,” Opt. Prec. Eng.19(3), 515–519 (2011).

[CrossRef]

C. B. Lee, G. H. Kim, and S. K. Lee, “Design and construction of a single unit multi-function optical encoder for a six-degree-of-freedom motion error measurement in an ultra-precision linear stage,” Meas. Sci. Technol.22(10), 105901 (2011).

[CrossRef]

R. Cao, B. Zhang, and Q. Feng, “A method for roll-angle measurement in multi-degree-of-freedom measuring system,” Acta Opt. Sin.28(12), 2344–2348 (2008).

[CrossRef]

Y. Zhai, Q. Feng, and B. Zhang, “A novel method for roll measurement based on grating,” Acta Opt. Sin.28, 112–116 (2008).

Q. Feng, B. Zhang, and C. Kuang, “Four degree-of-freedom geometric measurement system with common-path compensation for laser beam drift,” Int. J. Prec. Eng. Manufact.9, 26–31 (2008).

C. Kuang, E. Hong, Q. Feng, B. Zhang, and Z. Zhang, “A novel method to enhance the sensitivity for two-degrees-of-freedom straightness measurement,” Meas. Sci. Technol.18(12), 3795–3800 (2007).

[CrossRef]

C. Kuang, E. Hong, and Q. Feng, “High-accuracy method for measuring two-dimensional angles of a linear guideway,” Opt. Eng.46(5), 051016 (2007).

[CrossRef]

W. Gao, Y. Arai, A. Shibuya, S. Kiyono, and C. H. Park, “Measurement of multi-degree-of-freedom error motions of a precision linear air-bearing stage,” Precis. Eng.30(1), 96–103 (2006).

[CrossRef]

C. Kuang, Q. Feng, B. Zhang, Z. Zhang, and S. Chen, “Measurement method of the roll angle,” Proc. SPIE6150, 61502F (2006).

[CrossRef]

C. Kuang, Q. Feng, B. Zhang, B. Liu, S. Chen, and Z. Zhang, “A four-degree-of-freedom laser measurement system (FDMS) using a single-mode fiber-coupled laser module,” Sen. Actuators A125(1), 100–108 (2005).

[CrossRef]

C. H. Liu, W. Y. Jywe, C. C. Hsu, and T. H. Hsu, “Development of a laser-based high-precision six-degrees-of-freedom motion errors measuring system for linear stage,” Rev. Sci. Instrum.76(5), 055110 (2005).

[CrossRef]

S. W. Lee, R. Mayor, and J. Ni, “Development of a six-degree-of-freedom geometric error measurement system for a meso-scale machine tool,” J. Manuf. Sci. Eng.127(4), 857–865 (2005).

[CrossRef]

P. Sandoz, “Nanometric position and displacement measurement of the six degrees of freedom by means of a patterned surface element,” Appl. Opt.44(8), 1449–1453 (2005).

[CrossRef]
[PubMed]

U. Kenta, F. Ryosyu, O. Sonko, T. Toshiyuki, and K. Tomizo, “Geometric calibration of a coordinate measuring machine using a laser tracking system,” Meas. Sci. Technol.16(12), 2466–2472 (2005).

[CrossRef]

Q. Feng, B. Zhang, and C. Kuang, “A straightness measurement system using a single-mode fiber-coupled laser module,” Opt. Laser Technol.36(4), 279–283 (2004).

[CrossRef]

J. A. Kim, E. W. Bae, S. H. Kim, and Y. K. Kwak, “Design methods for six-degree-of-freedom displacement measurement systems using cooperative targets,” Precis. Eng.26(1), 99–104 (2002).

[CrossRef]

E. W. Bae, J. A. Kim, and S. H. Kim, “Multi-degree-of-freedom displacement measurement system for milli-structures,” Meas. Sci. Technol.12(9), 1495–1502 (2001).

[CrossRef]

J. S. Kim, K. C. Kim, E. W. Bae, S. H. Kim, and Y. K. Kwak, “Six-degree-of-freedom displacement measurement system using a diffraction grating,” Rev. Sci. Instrum.71(8), 3214–3219 (2000).

[CrossRef]

A. C. Okafor and Y. M. Ertekin, “Vertical machining center accuracy characterization using laser interferometer, part one: linear positional errors,” J. Mater. Process. Technol.105(3), 394–406 (2000).

[CrossRef]

A. C. Okafor and Y. M. Ertekin, “Vertical machining center accuracy characterization using laser interferometer, part two: angular errors,” J. Mater. Process. Technol.105(3), 407–420 (2000).

[CrossRef]

K. C. Fan and M. J. Chen, “6-Degree-of-freedom measurement system for the accuracy of X-Y stages,” Precis. Eng.24(1), 15–23 (2000).

[CrossRef]

K. C. Fan, M. J. Chen, and W. M. Huang, “A six-degree-of-freedom measurement system for the motion accuracy of linear stages,” Int. J. Mach. Tools Manuf.38(3), 155–164 (1998).

[CrossRef]

C. Chou, L. Y. Chou, C. K. Peng, Y. C. Huang, and K. C. Fan, “CCD-based geometrical error measurement using Fourier phase shift algorithm,” Int. J. Mach. Tools Manuf.37(5), 579–590 (1997).

[CrossRef]

P. S. Huang and J. Ni, “On-line error compensation of coordinate measuring machine,” Int. J. Mach. Tools Manuf.35(5), 725–738 (1995).

[CrossRef]

S. Shimizu, H. S. Lee, and N. Imai, “Simultaneous measuring method of table motion errors in 6 degrees of freedom,” Int. J. Japan Soc. Prec. Eng28, 273–274 (1994).

J. Ni, P. S. Huang, and S. M. Wu, “A multi-degree-of-freedom measurement system for CMM geometric errors,” ASME J. Eng. Ind.114, 362–389 (1992).

W. Gao, Y. Arai, A. Shibuya, S. Kiyono, and C. H. Park, “Measurement of multi-degree-of-freedom error motions of a precision linear air-bearing stage,” Precis. Eng.30(1), 96–103 (2006).

[CrossRef]

J. A. Kim, E. W. Bae, S. H. Kim, and Y. K. Kwak, “Design methods for six-degree-of-freedom displacement measurement systems using cooperative targets,” Precis. Eng.26(1), 99–104 (2002).

[CrossRef]

E. W. Bae, J. A. Kim, and S. H. Kim, “Multi-degree-of-freedom displacement measurement system for milli-structures,” Meas. Sci. Technol.12(9), 1495–1502 (2001).

[CrossRef]

J. S. Kim, K. C. Kim, E. W. Bae, S. H. Kim, and Y. K. Kwak, “Six-degree-of-freedom displacement measurement system using a diffraction grating,” Rev. Sci. Instrum.71(8), 3214–3219 (2000).

[CrossRef]

D. P. Burt, P. S. Dobson, K. E. Docherty, C. W. Jones, R. K. Leach, S. Thoms, J. M. Weaver, and Y. Zhang, “Aperiodic interferometer for six degrees of freedom position measurement,” Opt. Lett.37(7), 1247–1249 (2012).

[CrossRef]
[PubMed]

R. Cao, B. Zhang, and Q. Feng, “A method for roll-angle measurement in multi-degree-of-freedom measuring system,” Acta Opt. Sin.28(12), 2344–2348 (2008).

[CrossRef]

K. C. Fan and M. J. Chen, “6-Degree-of-freedom measurement system for the accuracy of X-Y stages,” Precis. Eng.24(1), 15–23 (2000).

[CrossRef]

K. C. Fan, M. J. Chen, and W. M. Huang, “A six-degree-of-freedom measurement system for the motion accuracy of linear stages,” Int. J. Mach. Tools Manuf.38(3), 155–164 (1998).

[CrossRef]

C. Kuang, Q. Feng, B. Zhang, Z. Zhang, and S. Chen, “Measurement method of the roll angle,” Proc. SPIE6150, 61502F (2006).

[CrossRef]

C. Kuang, Q. Feng, B. Zhang, B. Liu, S. Chen, and Z. Zhang, “A four-degree-of-freedom laser measurement system (FDMS) using a single-mode fiber-coupled laser module,” Sen. Actuators A125(1), 100–108 (2005).

[CrossRef]

C. Chou, L. Y. Chou, C. K. Peng, Y. C. Huang, and K. C. Fan, “CCD-based geometrical error measurement using Fourier phase shift algorithm,” Int. J. Mach. Tools Manuf.37(5), 579–590 (1997).

[CrossRef]

C. Chou, L. Y. Chou, C. K. Peng, Y. C. Huang, and K. C. Fan, “CCD-based geometrical error measurement using Fourier phase shift algorithm,” Int. J. Mach. Tools Manuf.37(5), 579–590 (1997).

[CrossRef]

F. Zhu, J. Tan, and J. Cui, “Common-path design criteria for laser datum based measurement of small angle deviations and laser autocollimation methods in compliance with the criteria with high accuracy and stability,” Opt. Express21, 188494 (2013).

D. P. Burt, P. S. Dobson, K. E. Docherty, C. W. Jones, R. K. Leach, S. Thoms, J. M. Weaver, and Y. Zhang, “Aperiodic interferometer for six degrees of freedom position measurement,” Opt. Lett.37(7), 1247–1249 (2012).

[CrossRef]
[PubMed]

D. P. Burt, P. S. Dobson, K. E. Docherty, C. W. Jones, R. K. Leach, S. Thoms, J. M. Weaver, and Y. Zhang, “Aperiodic interferometer for six degrees of freedom position measurement,” Opt. Lett.37(7), 1247–1249 (2012).

[CrossRef]
[PubMed]

A. C. Okafor and Y. M. Ertekin, “Vertical machining center accuracy characterization using laser interferometer, part one: linear positional errors,” J. Mater. Process. Technol.105(3), 394–406 (2000).

[CrossRef]

A. C. Okafor and Y. M. Ertekin, “Vertical machining center accuracy characterization using laser interferometer, part two: angular errors,” J. Mater. Process. Technol.105(3), 407–420 (2000).

[CrossRef]

K. C. Fan and M. J. Chen, “6-Degree-of-freedom measurement system for the accuracy of X-Y stages,” Precis. Eng.24(1), 15–23 (2000).

[CrossRef]

K. C. Fan, M. J. Chen, and W. M. Huang, “A six-degree-of-freedom measurement system for the motion accuracy of linear stages,” Int. J. Mach. Tools Manuf.38(3), 155–164 (1998).

[CrossRef]

C. Chou, L. Y. Chou, C. K. Peng, Y. C. Huang, and K. C. Fan, “CCD-based geometrical error measurement using Fourier phase shift algorithm,” Int. J. Mach. Tools Manuf.37(5), 579–590 (1997).

[CrossRef]

Y. Zhai, Q. Feng, and B. Zhang, “A simple roll measurement method based on a rectangular-prism,” Opt. Laser Technol.44(4), 839–843 (2012).

[CrossRef]

F. You, B. Zhang, and Q. Feng, “A novel laser straightness measurement method with a beam bend compensation,” Optik (Stuttg.)122(17), 1530–1534 (2011).

[CrossRef]

F. You, Q. Feng, and B. Zhang, “Straightness error measurement based on common-path compensation for laser beam drift,” Opt. Prec. Eng.19(3), 515–519 (2011).

[CrossRef]

R. Cao, B. Zhang, and Q. Feng, “A method for roll-angle measurement in multi-degree-of-freedom measuring system,” Acta Opt. Sin.28(12), 2344–2348 (2008).

[CrossRef]

Y. Zhai, Q. Feng, and B. Zhang, “A novel method for roll measurement based on grating,” Acta Opt. Sin.28, 112–116 (2008).

Q. Feng, B. Zhang, and C. Kuang, “Four degree-of-freedom geometric measurement system with common-path compensation for laser beam drift,” Int. J. Prec. Eng. Manufact.9, 26–31 (2008).

C. Kuang, E. Hong, and Q. Feng, “High-accuracy method for measuring two-dimensional angles of a linear guideway,” Opt. Eng.46(5), 051016 (2007).

[CrossRef]

C. Kuang, E. Hong, Q. Feng, B. Zhang, and Z. Zhang, “A novel method to enhance the sensitivity for two-degrees-of-freedom straightness measurement,” Meas. Sci. Technol.18(12), 3795–3800 (2007).

[CrossRef]

C. Kuang, Q. Feng, B. Zhang, Z. Zhang, and S. Chen, “Measurement method of the roll angle,” Proc. SPIE6150, 61502F (2006).

[CrossRef]

C. Kuang, Q. Feng, B. Zhang, B. Liu, S. Chen, and Z. Zhang, “A four-degree-of-freedom laser measurement system (FDMS) using a single-mode fiber-coupled laser module,” Sen. Actuators A125(1), 100–108 (2005).

[CrossRef]

Q. Feng, B. Zhang, and C. Kuang, “A straightness measurement system using a single-mode fiber-coupled laser module,” Opt. Laser Technol.36(4), 279–283 (2004).

[CrossRef]

W. Gao, Y. Arai, A. Shibuya, S. Kiyono, and C. H. Park, “Measurement of multi-degree-of-freedom error motions of a precision linear air-bearing stage,” Precis. Eng.30(1), 96–103 (2006).

[CrossRef]

C. Kuang, E. Hong, and Q. Feng, “High-accuracy method for measuring two-dimensional angles of a linear guideway,” Opt. Eng.46(5), 051016 (2007).

[CrossRef]

C. Kuang, E. Hong, Q. Feng, B. Zhang, and Z. Zhang, “A novel method to enhance the sensitivity for two-degrees-of-freedom straightness measurement,” Meas. Sci. Technol.18(12), 3795–3800 (2007).

[CrossRef]

C. H. Liu, W. Y. Jywe, C. C. Hsu, and T. H. Hsu, “Development of a laser-based high-precision six-degrees-of-freedom motion errors measuring system for linear stage,” Rev. Sci. Instrum.76(5), 055110 (2005).

[CrossRef]

C. H. Liu, W. Y. Jywe, C. C. Hsu, and T. H. Hsu, “Development of a laser-based high-precision six-degrees-of-freedom motion errors measuring system for linear stage,” Rev. Sci. Instrum.76(5), 055110 (2005).

[CrossRef]

P. S. Huang and J. Ni, “On-line error compensation of coordinate measuring machine,” Int. J. Mach. Tools Manuf.35(5), 725–738 (1995).

[CrossRef]

J. Ni, P. S. Huang, and S. M. Wu, “A multi-degree-of-freedom measurement system for CMM geometric errors,” ASME J. Eng. Ind.114, 362–389 (1992).

K. C. Fan, M. J. Chen, and W. M. Huang, “A six-degree-of-freedom measurement system for the motion accuracy of linear stages,” Int. J. Mach. Tools Manuf.38(3), 155–164 (1998).

[CrossRef]

C. Chou, L. Y. Chou, C. K. Peng, Y. C. Huang, and K. C. Fan, “CCD-based geometrical error measurement using Fourier phase shift algorithm,” Int. J. Mach. Tools Manuf.37(5), 579–590 (1997).

[CrossRef]

S. Shimizu, H. S. Lee, and N. Imai, “Simultaneous measuring method of table motion errors in 6 degrees of freedom,” Int. J. Japan Soc. Prec. Eng28, 273–274 (1994).

D. P. Burt, P. S. Dobson, K. E. Docherty, C. W. Jones, R. K. Leach, S. Thoms, J. M. Weaver, and Y. Zhang, “Aperiodic interferometer for six degrees of freedom position measurement,” Opt. Lett.37(7), 1247–1249 (2012).

[CrossRef]
[PubMed]

C. H. Liu, W. Y. Jywe, C. C. Hsu, and T. H. Hsu, “Development of a laser-based high-precision six-degrees-of-freedom motion errors measuring system for linear stage,” Rev. Sci. Instrum.76(5), 055110 (2005).

[CrossRef]

U. Kenta, F. Ryosyu, O. Sonko, T. Toshiyuki, and K. Tomizo, “Geometric calibration of a coordinate measuring machine using a laser tracking system,” Meas. Sci. Technol.16(12), 2466–2472 (2005).

[CrossRef]

C. B. Lee, G. H. Kim, and S. K. Lee, “Design and construction of a single unit multi-function optical encoder for a six-degree-of-freedom motion error measurement in an ultra-precision linear stage,” Meas. Sci. Technol.22(10), 105901 (2011).

[CrossRef]

J. A. Kim, E. W. Bae, S. H. Kim, and Y. K. Kwak, “Design methods for six-degree-of-freedom displacement measurement systems using cooperative targets,” Precis. Eng.26(1), 99–104 (2002).

[CrossRef]

E. W. Bae, J. A. Kim, and S. H. Kim, “Multi-degree-of-freedom displacement measurement system for milli-structures,” Meas. Sci. Technol.12(9), 1495–1502 (2001).

[CrossRef]

J. S. Kim, K. C. Kim, E. W. Bae, S. H. Kim, and Y. K. Kwak, “Six-degree-of-freedom displacement measurement system using a diffraction grating,” Rev. Sci. Instrum.71(8), 3214–3219 (2000).

[CrossRef]

J. S. Kim, K. C. Kim, E. W. Bae, S. H. Kim, and Y. K. Kwak, “Six-degree-of-freedom displacement measurement system using a diffraction grating,” Rev. Sci. Instrum.71(8), 3214–3219 (2000).

[CrossRef]

J. A. Kim, E. W. Bae, S. H. Kim, and Y. K. Kwak, “Design methods for six-degree-of-freedom displacement measurement systems using cooperative targets,” Precis. Eng.26(1), 99–104 (2002).

[CrossRef]

E. W. Bae, J. A. Kim, and S. H. Kim, “Multi-degree-of-freedom displacement measurement system for milli-structures,” Meas. Sci. Technol.12(9), 1495–1502 (2001).

[CrossRef]

J. S. Kim, K. C. Kim, E. W. Bae, S. H. Kim, and Y. K. Kwak, “Six-degree-of-freedom displacement measurement system using a diffraction grating,” Rev. Sci. Instrum.71(8), 3214–3219 (2000).

[CrossRef]

W. Gao, Y. Arai, A. Shibuya, S. Kiyono, and C. H. Park, “Measurement of multi-degree-of-freedom error motions of a precision linear air-bearing stage,” Precis. Eng.30(1), 96–103 (2006).

[CrossRef]

K. Li, C. Kuang, and X. Liu, “Small angular displacement measurement based on an autocollimator and a common-path compensation principle,” Rev. Sci. Instrum.84(1), 015108 (2013).

[CrossRef]
[PubMed]

Q. Feng, B. Zhang, and C. Kuang, “Four degree-of-freedom geometric measurement system with common-path compensation for laser beam drift,” Int. J. Prec. Eng. Manufact.9, 26–31 (2008).

C. Kuang, E. Hong, and Q. Feng, “High-accuracy method for measuring two-dimensional angles of a linear guideway,” Opt. Eng.46(5), 051016 (2007).

[CrossRef]

C. Kuang, E. Hong, Q. Feng, B. Zhang, and Z. Zhang, “A novel method to enhance the sensitivity for two-degrees-of-freedom straightness measurement,” Meas. Sci. Technol.18(12), 3795–3800 (2007).

[CrossRef]

C. Kuang, Q. Feng, B. Zhang, Z. Zhang, and S. Chen, “Measurement method of the roll angle,” Proc. SPIE6150, 61502F (2006).

[CrossRef]

C. Kuang, Q. Feng, B. Zhang, B. Liu, S. Chen, and Z. Zhang, “A four-degree-of-freedom laser measurement system (FDMS) using a single-mode fiber-coupled laser module,” Sen. Actuators A125(1), 100–108 (2005).

[CrossRef]

Q. Feng, B. Zhang, and C. Kuang, “A straightness measurement system using a single-mode fiber-coupled laser module,” Opt. Laser Technol.36(4), 279–283 (2004).

[CrossRef]

J. A. Kim, E. W. Bae, S. H. Kim, and Y. K. Kwak, “Design methods for six-degree-of-freedom displacement measurement systems using cooperative targets,” Precis. Eng.26(1), 99–104 (2002).

[CrossRef]

J. S. Kim, K. C. Kim, E. W. Bae, S. H. Kim, and Y. K. Kwak, “Six-degree-of-freedom displacement measurement system using a diffraction grating,” Rev. Sci. Instrum.71(8), 3214–3219 (2000).

[CrossRef]

D. P. Burt, P. S. Dobson, K. E. Docherty, C. W. Jones, R. K. Leach, S. Thoms, J. M. Weaver, and Y. Zhang, “Aperiodic interferometer for six degrees of freedom position measurement,” Opt. Lett.37(7), 1247–1249 (2012).

[CrossRef]
[PubMed]

C. B. Lee, G. H. Kim, and S. K. Lee, “Design and construction of a single unit multi-function optical encoder for a six-degree-of-freedom motion error measurement in an ultra-precision linear stage,” Meas. Sci. Technol.22(10), 105901 (2011).

[CrossRef]

S. Shimizu, H. S. Lee, and N. Imai, “Simultaneous measuring method of table motion errors in 6 degrees of freedom,” Int. J. Japan Soc. Prec. Eng28, 273–274 (1994).

C. B. Lee, G. H. Kim, and S. K. Lee, “Design and construction of a single unit multi-function optical encoder for a six-degree-of-freedom motion error measurement in an ultra-precision linear stage,” Meas. Sci. Technol.22(10), 105901 (2011).

[CrossRef]

S. W. Lee, R. Mayor, and J. Ni, “Development of a six-degree-of-freedom geometric error measurement system for a meso-scale machine tool,” J. Manuf. Sci. Eng.127(4), 857–865 (2005).

[CrossRef]

K. Li, C. Kuang, and X. Liu, “Small angular displacement measurement based on an autocollimator and a common-path compensation principle,” Rev. Sci. Instrum.84(1), 015108 (2013).

[CrossRef]
[PubMed]

C. Kuang, Q. Feng, B. Zhang, B. Liu, S. Chen, and Z. Zhang, “A four-degree-of-freedom laser measurement system (FDMS) using a single-mode fiber-coupled laser module,” Sen. Actuators A125(1), 100–108 (2005).

[CrossRef]

C. H. Liu, H. L. Huang, and H. W. Lee, “Five-degrees-of-freedom diffractive laser encoder,” Appl. Opt.48(14), 2767–2777 (2009).

[CrossRef]
[PubMed]

C. H. Liu, W. Y. Jywe, C. C. Hsu, and T. H. Hsu, “Development of a laser-based high-precision six-degrees-of-freedom motion errors measuring system for linear stage,” Rev. Sci. Instrum.76(5), 055110 (2005).

[CrossRef]

K. Li, C. Kuang, and X. Liu, “Small angular displacement measurement based on an autocollimator and a common-path compensation principle,” Rev. Sci. Instrum.84(1), 015108 (2013).

[CrossRef]
[PubMed]

S. W. Lee, R. Mayor, and J. Ni, “Development of a six-degree-of-freedom geometric error measurement system for a meso-scale machine tool,” J. Manuf. Sci. Eng.127(4), 857–865 (2005).

[CrossRef]

S. W. Lee, R. Mayor, and J. Ni, “Development of a six-degree-of-freedom geometric error measurement system for a meso-scale machine tool,” J. Manuf. Sci. Eng.127(4), 857–865 (2005).

[CrossRef]

P. S. Huang and J. Ni, “On-line error compensation of coordinate measuring machine,” Int. J. Mach. Tools Manuf.35(5), 725–738 (1995).

[CrossRef]

J. Ni, P. S. Huang, and S. M. Wu, “A multi-degree-of-freedom measurement system for CMM geometric errors,” ASME J. Eng. Ind.114, 362–389 (1992).

A. C. Okafor and Y. M. Ertekin, “Vertical machining center accuracy characterization using laser interferometer, part one: linear positional errors,” J. Mater. Process. Technol.105(3), 394–406 (2000).

[CrossRef]

A. C. Okafor and Y. M. Ertekin, “Vertical machining center accuracy characterization using laser interferometer, part two: angular errors,” J. Mater. Process. Technol.105(3), 407–420 (2000).

[CrossRef]

W. Gao, Y. Arai, A. Shibuya, S. Kiyono, and C. H. Park, “Measurement of multi-degree-of-freedom error motions of a precision linear air-bearing stage,” Precis. Eng.30(1), 96–103 (2006).

[CrossRef]

C. Chou, L. Y. Chou, C. K. Peng, Y. C. Huang, and K. C. Fan, “CCD-based geometrical error measurement using Fourier phase shift algorithm,” Int. J. Mach. Tools Manuf.37(5), 579–590 (1997).

[CrossRef]

U. Kenta, F. Ryosyu, O. Sonko, T. Toshiyuki, and K. Tomizo, “Geometric calibration of a coordinate measuring machine using a laser tracking system,” Meas. Sci. Technol.16(12), 2466–2472 (2005).

[CrossRef]

W. Gao, Y. Arai, A. Shibuya, S. Kiyono, and C. H. Park, “Measurement of multi-degree-of-freedom error motions of a precision linear air-bearing stage,” Precis. Eng.30(1), 96–103 (2006).

[CrossRef]

S. Shimizu, H. S. Lee, and N. Imai, “Simultaneous measuring method of table motion errors in 6 degrees of freedom,” Int. J. Japan Soc. Prec. Eng28, 273–274 (1994).

U. Kenta, F. Ryosyu, O. Sonko, T. Toshiyuki, and K. Tomizo, “Geometric calibration of a coordinate measuring machine using a laser tracking system,” Meas. Sci. Technol.16(12), 2466–2472 (2005).

[CrossRef]

F. Zhu, J. Tan, and J. Cui, “Common-path design criteria for laser datum based measurement of small angle deviations and laser autocollimation methods in compliance with the criteria with high accuracy and stability,” Opt. Express21, 188494 (2013).

D. P. Burt, P. S. Dobson, K. E. Docherty, C. W. Jones, R. K. Leach, S. Thoms, J. M. Weaver, and Y. Zhang, “Aperiodic interferometer for six degrees of freedom position measurement,” Opt. Lett.37(7), 1247–1249 (2012).

[CrossRef]
[PubMed]

U. Kenta, F. Ryosyu, O. Sonko, T. Toshiyuki, and K. Tomizo, “Geometric calibration of a coordinate measuring machine using a laser tracking system,” Meas. Sci. Technol.16(12), 2466–2472 (2005).

[CrossRef]

U. Kenta, F. Ryosyu, O. Sonko, T. Toshiyuki, and K. Tomizo, “Geometric calibration of a coordinate measuring machine using a laser tracking system,” Meas. Sci. Technol.16(12), 2466–2472 (2005).

[CrossRef]

C. Y. Tsai, “Exact analytical approach for six-degree-of-freedom measurement using image-orientation-change method,” J. Opt. Soc. Am. A-Opt. Im. Sci. Vision.29, 385–393 (2012).

D. P. Burt, P. S. Dobson, K. E. Docherty, C. W. Jones, R. K. Leach, S. Thoms, J. M. Weaver, and Y. Zhang, “Aperiodic interferometer for six degrees of freedom position measurement,” Opt. Lett.37(7), 1247–1249 (2012).

[CrossRef]
[PubMed]

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