I. Kaya and J. P. Rolland, “Hybrid RBF and local phi-polynomial freeform surfaces,” Adv. Opt. Technol.2(1), 81–88 (2013).

G. W. Forbes, “Fitting freeform shapes with orthogonal bases,” Opt. Express21(16), 19061–19081 (2013).

[CrossRef]
[PubMed]

Y. Jian, K. Wong, and M. V. Sarunic, “Graphics processing unit accelerated optical coherence tomography processing at megahertz axial scan rate and high resolution video rate volumetric rendering,” J. Biomed. Opt.18(2), 026002 (2013).

[CrossRef]
[PubMed]

R. W. Gray, C. Dunn, K. P. Thompson, and J. P. Rolland, “An analytic expression for the field dependence of Zernike polynomials in rotationally symmetric optical systems,” Opt. Express20(15), 16436–16449 (2012).

[CrossRef]

I. Kaya, K. P. Thompson, and J. P. Rolland, “Comparative assessment of freeform polynomials as optical surface descriptions,” Opt. Express20(20), 22683–22691 (2012).

[CrossRef]
[PubMed]

G. W. Forbes, “Characterizing the shape of freeform optics,” Opt. Express20(3), 2483–2499 (2012).

[CrossRef]
[PubMed]

K. Fuerschbach, J. P. Rolland, and K. P. Thompson, “A new family of optical systems employing φ-polynomial surfaces,” Opt. Express19(22), 21919–21928 (2011).

[CrossRef]
[PubMed]

C. L. Phillips, J. A. Anderson, and S. C. Glotzer, “Pseudo-random number generation for Brownian dynamics and dissipative particle dynamics simulations on GPU devices,” J. Comput. Phys.230(19), 7191–7201 (2011).

[CrossRef]

G. W. Forbes, “Robust and fast computation for the polynomials of optics,” Opt. Express18(13), 13851–13862 (2010).

[CrossRef]
[PubMed]

O. Cakmakci, K. Thompson, P. Vallee, J. Cote, and J. P. Rolland, “Design of a freeform single-element head-worn display,” Proc. SPIE7618, 761803 (2010).

[CrossRef]

J. C. Miñano, P. Benitez, and A. Santamaria, “Freeform optics for illumination,” Opt. Rev.16(2), 99–102 (2009).

[CrossRef]

O. Cakmakci, S. Vo, K. P. Thompson, and J. P. Rolland, “Application of radial basis functions to shape description in a dual-element off-axis eyewear display: Field-of-view limit,” SID16, 1089–1098 (2008).

O. Cakmakci, B. Moore, H. Foroosh, and J. P. Rolland, “Optimal local shape description for rotationally non-symmetric optical surface design and analysis,” Opt. Express16(3), 1583–1589 (2008).

[CrossRef]
[PubMed]

S. Liu, P. Li, and Q. Luo, “Fast blood flow visualization of high-resolution laser speckle imaging data using graphics processing unit,” Opt. Express16(19), 14321–14329 (2008).

[CrossRef]
[PubMed]

C. W. Clenshaw, “A note on the summation of Chebyshev series,” Math. Tables Other Aids Comput.9, 118–120 (1995).

F. Zernike, “Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode,” Physica1(7–12), 689–704 (1934).

[CrossRef]

C. L. Phillips, J. A. Anderson, and S. C. Glotzer, “Pseudo-random number generation for Brownian dynamics and dissipative particle dynamics simulations on GPU devices,” J. Comput. Phys.230(19), 7191–7201 (2011).

[CrossRef]

J. C. Miñano, P. Benitez, and A. Santamaria, “Freeform optics for illumination,” Opt. Rev.16(2), 99–102 (2009).

[CrossRef]

O. Cakmakci, K. Thompson, P. Vallee, J. Cote, and J. P. Rolland, “Design of a freeform single-element head-worn display,” Proc. SPIE7618, 761803 (2010).

[CrossRef]

O. Cakmakci, S. Vo, K. P. Thompson, and J. P. Rolland, “Application of radial basis functions to shape description in a dual-element off-axis eyewear display: Field-of-view limit,” SID16, 1089–1098 (2008).

O. Cakmakci, B. Moore, H. Foroosh, and J. P. Rolland, “Optimal local shape description for rotationally non-symmetric optical surface design and analysis,” Opt. Express16(3), 1583–1589 (2008).

[CrossRef]
[PubMed]

C. W. Clenshaw, “A note on the summation of Chebyshev series,” Math. Tables Other Aids Comput.9, 118–120 (1995).

O. Cakmakci, K. Thompson, P. Vallee, J. Cote, and J. P. Rolland, “Design of a freeform single-element head-worn display,” Proc. SPIE7618, 761803 (2010).

[CrossRef]

C. L. Phillips, J. A. Anderson, and S. C. Glotzer, “Pseudo-random number generation for Brownian dynamics and dissipative particle dynamics simulations on GPU devices,” J. Comput. Phys.230(19), 7191–7201 (2011).

[CrossRef]

Y. Jian, K. Wong, and M. V. Sarunic, “Graphics processing unit accelerated optical coherence tomography processing at megahertz axial scan rate and high resolution video rate volumetric rendering,” J. Biomed. Opt.18(2), 026002 (2013).

[CrossRef]
[PubMed]

J. C. Miñano, P. Benitez, and A. Santamaria, “Freeform optics for illumination,” Opt. Rev.16(2), 99–102 (2009).

[CrossRef]

C. L. Phillips, J. A. Anderson, and S. C. Glotzer, “Pseudo-random number generation for Brownian dynamics and dissipative particle dynamics simulations on GPU devices,” J. Comput. Phys.230(19), 7191–7201 (2011).

[CrossRef]

I. Kaya and J. P. Rolland, “Hybrid RBF and local phi-polynomial freeform surfaces,” Adv. Opt. Technol.2(1), 81–88 (2013).

R. W. Gray, C. Dunn, K. P. Thompson, and J. P. Rolland, “An analytic expression for the field dependence of Zernike polynomials in rotationally symmetric optical systems,” Opt. Express20(15), 16436–16449 (2012).

[CrossRef]

I. Kaya, K. P. Thompson, and J. P. Rolland, “Comparative assessment of freeform polynomials as optical surface descriptions,” Opt. Express20(20), 22683–22691 (2012).

[CrossRef]
[PubMed]

K. Fuerschbach, J. P. Rolland, and K. P. Thompson, “A new family of optical systems employing φ-polynomial surfaces,” Opt. Express19(22), 21919–21928 (2011).

[CrossRef]
[PubMed]

O. Cakmakci, K. Thompson, P. Vallee, J. Cote, and J. P. Rolland, “Design of a freeform single-element head-worn display,” Proc. SPIE7618, 761803 (2010).

[CrossRef]

O. Cakmakci, S. Vo, K. P. Thompson, and J. P. Rolland, “Application of radial basis functions to shape description in a dual-element off-axis eyewear display: Field-of-view limit,” SID16, 1089–1098 (2008).

O. Cakmakci, B. Moore, H. Foroosh, and J. P. Rolland, “Optimal local shape description for rotationally non-symmetric optical surface design and analysis,” Opt. Express16(3), 1583–1589 (2008).

[CrossRef]
[PubMed]

J. C. Miñano, P. Benitez, and A. Santamaria, “Freeform optics for illumination,” Opt. Rev.16(2), 99–102 (2009).

[CrossRef]

Y. Jian, K. Wong, and M. V. Sarunic, “Graphics processing unit accelerated optical coherence tomography processing at megahertz axial scan rate and high resolution video rate volumetric rendering,” J. Biomed. Opt.18(2), 026002 (2013).

[CrossRef]
[PubMed]

O. Cakmakci, K. Thompson, P. Vallee, J. Cote, and J. P. Rolland, “Design of a freeform single-element head-worn display,” Proc. SPIE7618, 761803 (2010).

[CrossRef]

R. W. Gray, C. Dunn, K. P. Thompson, and J. P. Rolland, “An analytic expression for the field dependence of Zernike polynomials in rotationally symmetric optical systems,” Opt. Express20(15), 16436–16449 (2012).

[CrossRef]

I. Kaya, K. P. Thompson, and J. P. Rolland, “Comparative assessment of freeform polynomials as optical surface descriptions,” Opt. Express20(20), 22683–22691 (2012).

[CrossRef]
[PubMed]

K. Fuerschbach, J. P. Rolland, and K. P. Thompson, “A new family of optical systems employing φ-polynomial surfaces,” Opt. Express19(22), 21919–21928 (2011).

[CrossRef]
[PubMed]

O. Cakmakci, S. Vo, K. P. Thompson, and J. P. Rolland, “Application of radial basis functions to shape description in a dual-element off-axis eyewear display: Field-of-view limit,” SID16, 1089–1098 (2008).

O. Cakmakci, K. Thompson, P. Vallee, J. Cote, and J. P. Rolland, “Design of a freeform single-element head-worn display,” Proc. SPIE7618, 761803 (2010).

[CrossRef]

O. Cakmakci, S. Vo, K. P. Thompson, and J. P. Rolland, “Application of radial basis functions to shape description in a dual-element off-axis eyewear display: Field-of-view limit,” SID16, 1089–1098 (2008).

Y. Jian, K. Wong, and M. V. Sarunic, “Graphics processing unit accelerated optical coherence tomography processing at megahertz axial scan rate and high resolution video rate volumetric rendering,” J. Biomed. Opt.18(2), 026002 (2013).

[CrossRef]
[PubMed]

F. Zernike, “Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode,” Physica1(7–12), 689–704 (1934).

[CrossRef]

I. Kaya and J. P. Rolland, “Hybrid RBF and local phi-polynomial freeform surfaces,” Adv. Opt. Technol.2(1), 81–88 (2013).

Y. Jian, K. Wong, and M. V. Sarunic, “Graphics processing unit accelerated optical coherence tomography processing at megahertz axial scan rate and high resolution video rate volumetric rendering,” J. Biomed. Opt.18(2), 026002 (2013).

[CrossRef]
[PubMed]

C. L. Phillips, J. A. Anderson, and S. C. Glotzer, “Pseudo-random number generation for Brownian dynamics and dissipative particle dynamics simulations on GPU devices,” J. Comput. Phys.230(19), 7191–7201 (2011).

[CrossRef]

C. W. Clenshaw, “A note on the summation of Chebyshev series,” Math. Tables Other Aids Comput.9, 118–120 (1995).

G. W. Forbes, “Characterizing the shape of freeform optics,” Opt. Express20(3), 2483–2499 (2012).

[CrossRef]
[PubMed]

O. Cakmakci, B. Moore, H. Foroosh, and J. P. Rolland, “Optimal local shape description for rotationally non-symmetric optical surface design and analysis,” Opt. Express16(3), 1583–1589 (2008).

[CrossRef]
[PubMed]

S. Liu, P. Li, and Q. Luo, “Fast blood flow visualization of high-resolution laser speckle imaging data using graphics processing unit,” Opt. Express16(19), 14321–14329 (2008).

[CrossRef]
[PubMed]

G. W. Forbes, “Robust and fast computation for the polynomials of optics,” Opt. Express18(13), 13851–13862 (2010).

[CrossRef]
[PubMed]

R. W. Gray, C. Dunn, K. P. Thompson, and J. P. Rolland, “An analytic expression for the field dependence of Zernike polynomials in rotationally symmetric optical systems,” Opt. Express20(15), 16436–16449 (2012).

[CrossRef]

I. Kaya, K. P. Thompson, and J. P. Rolland, “Comparative assessment of freeform polynomials as optical surface descriptions,” Opt. Express20(20), 22683–22691 (2012).

[CrossRef]
[PubMed]

G. W. Forbes, “Fitting freeform shapes with orthogonal bases,” Opt. Express21(16), 19061–19081 (2013).

[CrossRef]
[PubMed]

K. Fuerschbach, J. P. Rolland, and K. P. Thompson, “A new family of optical systems employing φ-polynomial surfaces,” Opt. Express19(22), 21919–21928 (2011).

[CrossRef]
[PubMed]

J. C. Miñano, P. Benitez, and A. Santamaria, “Freeform optics for illumination,” Opt. Rev.16(2), 99–102 (2009).

[CrossRef]

F. Zernike, “Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode,” Physica1(7–12), 689–704 (1934).

[CrossRef]

O. Cakmakci, K. Thompson, P. Vallee, J. Cote, and J. P. Rolland, “Design of a freeform single-element head-worn display,” Proc. SPIE7618, 761803 (2010).

[CrossRef]

O. Cakmakci, S. Vo, K. P. Thompson, and J. P. Rolland, “Application of radial basis functions to shape description in a dual-element off-axis eyewear display: Field-of-view limit,” SID16, 1089–1098 (2008).

M. Born and E. Wolf, Principles of Optics (Cambridge University, 1999).

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1972), Chap. 22.

NVIDIA, CUDA C Programming Guide (NVIDIA, 2012).

NVIDIA, CUDA C Best Practices Guide, (NVIDIA, 2012).

Intel, “Intel core 7 processor specifications” (Intel, 2013), http://www.intel.com/content/www/us/en/processors/core/core-i7-processor/Corei7Specifications.html .